Practice Test

Q1) A S.H.M. oscillator has period of 0.1 sec. and amplitude of 0.2 m. The maximum velocity is given by: Show Answer

Q2) If a hole is drilled along the diameter of the earth and a stone is dropped into it. The stone: Show Answer

Q3) Total energy of the particle executing S.H.M. is proportional to: Show Answer

Q4) A pendulum suspended to the ceiling of a train has a period T when the train is at rest. If the train is accelerated uniformly the period will: Show Answer

Q5) A pendulum is first vibrated on the surface of earth. Its period is T. It is then taken to the surface of moon where acceleration due to gravity is 1/6th of that on earth. Its period will be: Show Answer

Q6) A simple pendulum is made of a hollow spherical bob full of mercury and suspended by a thin string. If the mercury begins to leak from the small hole at its bottom, then its time period: Show Answer

Q7) A simple pendulum has a bob which is given negative charge. It is then allowed to oscillate just above a uniformly positively charged plate, its period: Show Answer

Q8) The potential energy of particle executing S.H.M. with amplitude A is maximum when displacement is: Show Answer

Q9) The kinetic energy of particle executing S.H.M. with amplitude A is maximum when displacement is: Show Answer

Q10) If the lift moves up with uniform speed, then period is: Show Answer

Q11) The work done by the string of a simple pendulum during one complete vibration is: Show Answer

Q12) A particle is executing S.H.M. with the length of its path as 8 cm. At what displacement from the mean position half the energy is kinetic and half is potential? Show Answer

Q13) An object attached to a light spring oscillates in S.H.M. on a horizontal smooth surface. The ratio of maximum P.E. to maximum K.E. is: Show Answer

Q14) The time period of a second's pendulum is: Show Answer

Q15) A boy swinging on a swing in sitting position suddenly stands up. The period of swing will then be: Show Answer

Q16) If the two springs are suspended in parallel and the system is collectively loaded with mass 'm', then period is: Show Answer

Q17) A particle is executing S.H.M. with period 12 sec. The time it takes in traversing a distance equal to half its amplitude is: Show Answer

Q18) If the length of a simple pendulum is increased by 2% then time period (approx): Show Answer

Q19) If condenser of capacitance 'C' is discharged through inductance 'L' the charge oscillates harmonically with angular frequency: Show Answer

Q20) The length of the seconds pendulum is increased by 0.1%. The clock: Show Answer

Q21) Two bodies A and B of mass 1 kg and 2 kg are soldered to two ends of vertical spring of force constant 400 N/m. A being at the upper end and B resting on a table. A is now compressed and then released. The freq. of oscillation is: Show Answer

Q22) In S.H.M. the acceleration of the particle is zero when the velocity is: Show Answer

Q23) A particle executes S.H.M. with amplitude 25 cm and period 3 s. What is the minimum time required for it to move between two points 12.5 cm on either side of the mean position? Show Answer

Q24) A spring balance has a scale reading from 0 to 50 kg. The length of the scale is 20 cm. A body suspended to the spring of the balance when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body? Show Answer

Q25) A particle executes S.H.M. with amplitude 2 cm. At a distance 1 cm from the mean position of magnitudes of the velocity and acceleration are equal. The time period of oscillation is: Show Answer

Q26) A mass of 1 kg is suspended form a spring and has a time period T on the surface of earth. The period at the centre of earth is: Show Answer

Q27) Two pendulum starts swinging together when their lengths are 1.44 m and 1.0. After how many vibrations they will again start swinging together? Show Answer

Q28) A particle executes S.H.M. Its amplitude is A and period is T. At a time its speed is half the maximum speed. What is the displacement? Show Answer

Q29) A second's pendulum is placed in a space laboratory orbiting round the earth at a height of 3 R, where R is the radius of earth. The time period of the pendulum is: Show Answer

Q30) A particle executes S.H.M. with amplitude 2 cm. At extreme position the force is 4 N. The force acting on it at a position mid-way between the mean and extreme is: Show Answer

Q31) The average acceleration in one time period in a S;H.M. is: Show Answer

Q32) If a watch with a wound spring is taken into the moon, it: Show Answer

Q33) A block of mass m rests on a platform. The platform is given up and down S.H.M. with an amplitude d. What can be the maximum frequency so that the block never leaves the platform? Show Answer

Q34) In a certain engine, a piston undergoes vertical S.H.M. with amplitude 7 cm. A washer rests on top of piston. As the motor is slowly speeded up, at what frequency will the washer no longer stay in contact with the piston? Show Answer

Q35) A particle under the action of an S.H.M. has a period 3 sec and under the effect of another it has a period 4 sec, what will be its period under the combined action of both the simple harmonic motions in the same direction? Show Answer

Q36) If the potential energy of a harmonic oscillator in its resting position is 500 erg and total energy is 1500 erg when the amplitude is 5 cm what is the force constant if its mass is 200 gm? Show Answer

Q37) Two pendula of lengths 121 cm and 100 cm start vibrating. At some instant the two are in the mean position in the same phase. After how many vibrations of the shorter pendulum the two will be in phase in the mean position? Show Answer

Q38) A clock A is based on oscillations of spring and a clock B is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having the same density as earth but twice the radius: Show Answer

Q39) If potential energy of a harmonic oscillator in its resting position is 15 joule and the average K.E. is 5 joule, then the total energy at any instant is: Show Answer

Q40) A body executes S.H.M. with an amplitude A. At what displacement from the mean position is the potential energy of the body is one-fourth of its total energy? Show Answer

Q41) A simple pendulum is executing simple harmonic motion with a time period T. If the length of pendulum is increased by 21%, the % increase in the time period of the pendulum of increased length is: Show Answer

Q42) Two particles P and Q start from the origin and execute S.H.M. along x-axis with same amplitudes but with periods 3 sec. and 6 sec. The ratio of the velocities of P and Q when they meet is: Show Answer

Q43) Two springs of spring constants 1500 N/m and 3000 N/m respectively are stretched with the same force. They will have potential energy in the ratio: Show Answer

Q44) A spring 40 mm long is stretched by the application of a force. If 10 N force is required to stretch the spring through 1 mm, then work done in stretching the spring through 40 mm is: Show Answer

Q45) A cubical body (side 0.1 metre and mass 0.002 kilogram) is floating in water. It is pressed and released by which it vibrates. The time period of vibration will be: Show Answer

Q46) A sphere of 200 g is tied from one end of a 130 cm long rope, whose second end is tied from the ceiling. Sphere is moving in a horizontal circle of 50 cm. The time period of conical pendulum will be: Show Answer

Q47) One-fourth length of a spring with force constant 'k' is cut away. The force constant of the remaining part is: Show Answer

Q48) A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement X. Which of the following statements is true? Show Answer

Q49) The total energy of a particle, executing S.H.M. is: Show Answer

Q50) The maximum velocity of a particle executing simple harmonic motion with an amplitude 7 mm is 4.4 m/s . The period of oscillation is: Show Answer

Q51) Starting from origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy? Show Answer

Q52) A hollow sphere filled with water forms the bob of a simple pendulum. A small hole at the bottom of the bob allows the water to oscillation and its period of oscillation is measured. The time period will: Show Answer

Q53) In a simple pendulum, if K.E. is one-fourth of total energy then displacement (x) is related to amplitude 'A', as: Show Answer

Q54) When the displacement is half the amplitude the ratio of potential energy to the total energy is: Show Answer

Q55) Two simple pendulums of length 0.5 m and 2.0 m respectively are given small linear displacement in one direction at the same time. They will again be in the pendulum of shorter length has completed oscillations: Show Answer

Q56) In a sinusoidal wave, the time required for a particular point to move to maximum displacement is 0.17 sec. The frequency of the wave is: Show Answer

Q57) A child is sitting on a swing. Its minimum and maximum heights from the ground are 0.75 m and 2 m respectively. Its maximum speed will be: Show Answer

Q58) The total energy of a particle performing S.H.M. depends on: Show Answer

Q59) The ratio of kinetic energy of mean position to the potential energy when the displacement is half of the amplitude is: Show Answer

Q60) A lift is ascending with an acceleration equal to g/3. What will be time period of the simple pendulum suspended from its ceiling if its time period in stationary lift is T? Show Answer

Q61) A pendulum suspended from ceiling of a train has a time period T, when the train is at rest. When the train is accelerating with uniform acceleration 'a', the period of oscillation will Show Answer

Q62) Period of oscillation of mass attached to a spring and performing S.H.M. is T. The spring is now cut into four equal pieces and the same mass attached to one piece. Now the period of its simple harmonic oscillation is: Show Answer

Q63) The P.E. of a simple harmonic oscillator, when the particle is half way to its end point is: Show Answer

Q64) In case of a forced vibrations, the resonance wave becomes very sharp when the: Show Answer

Q65) A particle performs S.H.M. with a period of 2 seconds. The time taken by it to cover a displacement equal to half of its amplitude from the mean position is: Show Answer

Q66) The equation of motion of simple harmonic oscillation is: Show Answer

Q67) The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts; then the new time period will be: Show Answer

Q68) Pendulum after some time becomes slow in motion and finally slopes due to: Show Answer

Q69) The period of oscillation of a simple pendulum is T in a stationary lift. It the lift move upwards with acceleration of 8g the time period will: Show Answer

Q70) A particle executing simple harmonic motion of amplitude 5 cm has maximum speed 31.4 cm/s. The frequency of its oscillation is: Show Answer

Q71) Which of the following functions represents a simple harmonic oscillations? Show Answer

Q72) Which of the following is not characteristics of S.H. oscillations? Show Answer

Q73) The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is: Show Answer

Q74) The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be: Show Answer

Q75) A large horizontal surface moves up and down in simple harmonic motion with an amplitude of 1 cm. If a mass of 10 kg (which is placed on this surface) is to remain continuously in contact with it, the frequency of S.H.m. should not exceed: Show Answer

Q76) A particle is vibrating in simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position is its energy half potential and half kinetic? Show Answer

Q77) A heavy brass sphere is hung from a spiral and it executes vertical vibrations with period T. The sphere is now immersed in a non-viscous liquid with a density 1/10th of that of brass. When set into vertical vibrations with the sphere remaining inside liquid all the time, the time period will be: Show Answer

Q78) A hollow metal sphere is filled with water and is hung by a long thread. It is made to oscillate. If water slowly flows through a small hole in the bottom, how will the period of oscillation be affected? Show Answer

Q79) On an average a human heart is found to beat 75 times in a minute. Its time-period is Show Answer

Q80) The potential energy of the block at x = 5 cm is Show Answer

Q81) The length of a seconds pendulum, which ticks seconds is Show Answer

Q82) Which of the following relationships between the acceleration a and the displacement x of a particle involve SHM? Show Answer

Q83) A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. The weight of the body is Show Answer

Q84) The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad/min, its maximum speed is Show Answer

Q85) The time period of a simple pendulum mounted in a cabin that is freely falling under gravity is Show Answer

Q86) Obtain the SHM motion of the x-projection of the radius vector of the rotating particle P Show Answer

Q87) The maximum speed of the mass is Show Answer

Q88) Let us take the position of mass when the spring is unstretched as x = 0, and the direction from left to right as the position direction of x-axis. Give x as function of time t for the oscillating mass if at the moment we start the stopwatch (t = 0), the mass is at the maximum compressed position. Show Answer

Q89) A pendulum clock keeping correct time is taken to high altitudes. Show Answer

Q90) The velocity and acceleration of a particle executing SHM have a steady phase relationship. The acceleration leads velocity in phase by Show Answer

Q91) The tension in the string of a simple pendulum is Show Answer

Q92) A hollow metallic sphere is filled with water and hung by a long thread. A small hole is drilled at the bottom through which water slowly flows out. Now, the sphere is made to oscillate. The period of oscillation of sphere Show Answer

Q93) A simple pendulum is made of body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of the pendulum will Show Answer

Q94) What fraction of the total energy is kinetic when the displacement is one-half of the amplitude? Show Answer

Q95) Which of the following quantities are always positive in a simple harmonic motion? (Letters have usual meanings) Show Answer

Q96) The equation of a SHM of amplitude a and angular frequency omega in which all distance are measured from one extreme position and time is taken to be zero at the other extreme position is Show Answer

Q97) Time period of SHM is Show Answer

Q98) Magnitude of acceleration is Show Answer

Q99) angular velocity of particle is Show Answer

Q100) A particle executes simple harmonic motion under the restoring force provided by a spring. The time period is T. If the spring is divided in two equal parts and one part is used to continue the simple harmonic motion, the time period will Show Answer

Q101) A particle executes an undamped SHM of time period T. Then the time period with which the potential energy changes is Show Answer

Q102) Two particles execute SHM of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions, each time their displacement is half of their amplitude. The phase difference between them is Show Answer

Q103) A 1 kg block is executing simple harmonic motion of amplitude 0.1 m on a smooth horizontal surface under the restoring force of a spring of spring constant 100 N//m. A block of mass 3 kg is gently placed on it at the instant it passes through the mean position. Assuming that the two blocks move together, the amplitude of the motion is Show Answer

Q104) The amplitude and the periodic time of a S.H.M. are 5 cm and 6 sec respectively. At a distance of 2.5 cm away from the mean position, the phase will be Show Answer

Q105) The phase (at a time t) of a particle in simple harmonic motion tells Show Answer

Q106) A particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true Show Answer

Q107) Which of the following equation does not represent a simple harmonic motion Show Answer

Q108) A particle executing S.H.M. of amplitude 4 cm and T = 4 sec. The time taken by it to move from positive extreme position to half the amplitude is Show Answer

Q109) A particle is moving in a circle with uniform speed. Its motion is Show Answer

Q110) The periodic time of a body executing simple harmonic motion is 3 sec. After how much interval from time t = 0, its displacement will be half of its amplitude Show Answer

Q111) A body is executing simple harmonic motion with an angular frequency 2 rad/s. The velocity of the body at 20 mm displacement, when the amplitude of motion is 60 mm, is Show Answer

Q112) A body of mass 5 gm is executing S.H.M. about a point with amplitude 10 cm. Its maximum velocity is 100 cm/sec. Its velocity will be 50 cm/sec at a distance Show Answer

Q113) A particle is executing S.H.M. If its amplitude is 2 m and periodic time 2 seconds, then the maximum velocity of the particle will be Show Answer

Q114) If a simple pendulum oscillates with an amplitude of 50 mm and time period of 2 sec, then its maximum velocity is Show Answer

Q115) A particle executes simple harmonic motion with an amplitude of 4 cm. At the mean position the velocity of the particle is 10 cm/s. The distance of the particle from the mean position when its speed becomes 5 cm/s is Show Answer

Q116) Two particles P and Q start from origin and execute Simple Harmonic Motion along X-axis with same amplitude but with periods 3 seconds and 6 seconds respectively. The ratio of the velocities of P and Q when they meet is Show Answer

Q117) The velocity of a particle in simple harmonic motion at displacement y from mean position is Show Answer

Q118) Which of the following is a necessary and sufficient condition for S.H.M.? Show Answer

Q119) If a hole is bored along the diameter of the earth and a stone is dropped into hole Show Answer

Q120) The amplitude of a particle executing S.H.M. with frequency of 60 Hz is 0.01 m. The maximum value of the acceleration of the particle is Show Answer

Q121) A small body of mass 0.10 kg is executing S.H.M. of amplitude 1.0 m and period 0.20 sec. The maximum force acting on it is Show Answer

Q122) For a particle executing simple harmonic motion, which of the following statements is not correct Show Answer

Q123) A particle moving along the x-axis executes simple harmonic motion, then the force acting on it is given by Where A and K are positive constants Show Answer

Q124) A body is vibrating in simple harmonic motion with an amplitude of 0.06 m and frequency of 15 Hz. The velocity and acceleration of body is Show Answer

Q125) A particle is executing simple harmonic motion with an amplitude of 0.02 meter and frequency 50 Hz. The maximum acceleration of the particle is Show Answer

Q126) A particle executes simple harmonic motion along a straight line with an amplitude A. The potential energy is maximum when the displacement is Show Answer

Q127) A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic Show Answer

Q128) The potential energy of a particle with displacement X is U(X). The motion is simple harmonic, when (K is a positive constant) Show Answer

Q129) The total energy of the body executing S.H.M. is E. Then the kinetic energy when the displacement is half of the amplitude, is Show Answer

Q130) The P.E. of a particle executing SHM at a distance x from its equilibrium position is Show Answer

Q131) A vertical mass-spring system executes simple harmonic oscillations with a period of 2 s. A quantity of this system which exhibits simple harmonic variation with a period of 1 s is Show Answer

Q132) For any S.H.M., amplitude is 6 cm. If instantaneous potential energy is half the total energy then distance of particle from its mean position is Show Answer

Q133) A particle starts simple harmonic motion from the mean position. Its amplitude is a and total energy E. At one instant its kinetic energy is Its displacement at that instant is Show Answer

Q134) A particle executes simple harmonic motion with a frequency f . The frequency with which its kinetic energy oscillates is Show Answer

Q135) A particle moves such that its acceleration a is given by a = - b x, where x is the displacement from equilibrium position and b is a constant. The period of oscillation is Show Answer

Q136) A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after Show Answer

Q137) The kinetic energy of a particle executing S.H.M. is 16 J when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is Show Answer

Q138) To make the frequency double of an oscillator, we have to Show Answer

Q139) What is constant in S.H.M. Show Answer

Q140) Mark the wrong statement Show Answer

Q141) A particle executes SHM in a line 4 cm long. Its velocity when passing through the centre of line is 12 cm/s. The period will be Show Answer

Q142) The period of a simple pendulum is doubled, when Show Answer

Q143) A pendulum suspended from the ceiling of a train has a period T, when the train is at rest. When the train is accelerating with a uniform acceleration a, the period of oscillation will Show Answer

Q144) The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet will be (If it is a second's pendulum on earth) Show Answer

Q145) Which of the following statements is not true? In the case of a simple pendulum for small amplitudes the period of oscillation is Show Answer

Q146) The time period of a second's pendulum is 2 sec. The spherical bob which is empty from inside has a mass of 50 gm. This is now replaced by another solid bob of same radius but having different mass of 100 gm. The new time period will be Show Answer

Q147) The length of the second pendulum on the surface of earth is 1 m. The length of seconds pendulum on the surface of moon, where g is 1/6th value of g on the surface of earth, is Show Answer

Q148) The period of simple pendulum is measured as T in a stationary lift. If the lift moves upwards with an acceleration of 5 g, the period will be Show Answer

Q149) The length of a simple pendulum is increased by 1%. Its time period will Show Answer

Q150) Identify correct statement among the following Show Answer

Q151) A simple pendulum executing S.H.M. is falling freely along with the support. Then Show Answer

Q152) If the metal bob of a simple pendulum is replaced by a wooden bob, then its time period will Show Answer

Q153) If the length of simple pendulum is increased by 300%, then the time period will be increased by Show Answer

Q154) The length of a seconds pendulum is Show Answer

Q155) The time period of a simple pendulum in a lift descending with constant acceleration g is Show Answer

Q156) A chimpanzee swinging on a swing in a sitting position, stands up suddenly, the time period will Show Answer

Q157) In a seconds pendulum, mass of bob is 30 gm. If it is replaced by 90 gm mass. Then its time period will Show Answer

Q158) The time period of a simple pendulum when it is made to oscillate on the surface of moon Show Answer

Q159) If the length of the simple pendulum is increased by 44%, then what is the change in time period of pendulum Show Answer

Q160) To show that a simple pendulum executes simple harmonic motion, it is necessary to assume that Show Answer

Q161) A simple pendulum hangs from the ceiling of a car. If the car accelerates with a uniform acceleration, the frequency of the simple pendulum will Show Answer

Q162) The ratio of frequencies of two pendulums are 2 : 3, then their length are in ratio Show Answer

Q163) Two pendulums begin to swing simultaneously. If the ratio of the frequency of oscillations of the two is 7 : 8, then the ratio of lengths of the two pendulums will be Show Answer

Q164) If the length of a pendulum is made 9 times and mass of the bob is made 4 times then the value of time period becomes Show Answer

Q165) A simple pendulum is taken from the equator to the pole. Its period Show Answer

Q166) There is a simple pendulum hanging from the ceiling of a lift. When the lift is stand still, the time period of the pendulum is T. If the resultant acceleration becomes g/4, then the new time period of the pendulum is Show Answer

Q167) The period of a simple pendulum measured inside a stationary lift is found to be T. If the lift starts accelerating upwards with acceleration of g/3, then the time period of the pendulum is Show Answer

Q168) Time period of a simple pendulum will be double, if we Show Answer

Q169) The velocity of simple pendulum is maximum at Show Answer

Q170) A simple pendulum is vibrating in an evacuated chamber, it will oscillate with Show Answer

Q171) If a body is released into a tunnel dug across the diameter of earth, it executes simple harmonic motion with time period Show Answer

Q172) What effect occurs on the frequency of a pendulum if it is taken from the earth surface to deep into a mine Show Answer

Q173) A spring has a certain mass suspended from it and its period for vertical oscillation is T. The spring is now cut into two equal halves and the same mass is suspended from one of the halves. The period of vertical oscillation is now Show Answer

Q174) A spring having a spring constant 'K' is loaded with a mass 'm'. The spring is cut into two equal parts and one of these is loaded again with the same mass. The new spring constant is Show Answer

Q175) A particle of mass 200 gm executes S.H.M. The restoring force is provided by a spring of force constant 80 N / m. The time period of oscillations is Show Answer

Q176) The length of a spring is l and its force constant is k. When a weight W is suspended from it, its length increases by x. If the spring is cut into two equal parts and put in parallel and the same weight W is suspended from them, then the extension will be Show Answer

Q177) A uniform spring of force constant k is cut into two pieces, the lengths of which are in the ratio 1 : 2. The ratio of the force constants of the shorter and the longer pieces is Show Answer

Q178) A mass m =100 gms is attached at the end of a light spring which oscillates on a friction-less horizontal table with an amplitude equal to 0.16 metre and time period equal to 2 sec. Initially the mass is released from rest at t = 0 and displacement x = - 0.16 metre. The expression for the displacement of the mass at any time t is Show Answer

Q179) A mass m is vertically suspended from a spring of negligible mass; the system oscillates with a frequency n. What will be the frequency of the system if a mass 4 m is suspended from the same spring Show Answer

Q180) If the period of oscillation of mass m suspended from a spring is 2 sec, then the period of mass 4m will be Show Answer

Q181) A mass m attached to a spring oscillates every 2 sec. If the mass is increased by 2 kg, then time-period increases by 1 sec. The initial mass is Show Answer

Q182) If a spring has time period T, and is cut into n equal parts, then the time period of each part will be Show Answer

Q183) An object is attached to the bottom of a light vertical spring and set vibrating. The maximum speed of the object is 15 cm/sec and the period is 628 milli-seconds. The amplitude of the motion in centimeters is Show Answer

Q184) When a mass m is attached to a spring, it normally extends by 0.2 m. The mass m is given a slight addition extension and released, then its time period will be Show Answer

Q185) A spring executes SHM with mass of 10kg attached to it. The force constant of spring is 10N/m.If at any instant its velocity is 40cm/sec, the displacement will be (where amplitude is 0.5m) Show Answer

Q186) Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant form of vibration will be Show Answer

Q187) Resonance is an example of Show Answer

Q188) A simple pendulum is set into vibrations. The bob of the pendulum comes to rest after some time due to Show Answer

Q189) A simple pendulum oscillates in air with time period T and amplitude A. As the time passes Show Answer

Q190) Two particles executes S.H.M. of same amplitude and frequency along the same straight line. They pass one another when going in opposite directions, and each time their displacement is half of their amplitude. The phase difference between them is Show Answer

Q191) A sphere of radius r is kept on a concave mirror of radius of curvature R. The arrangement is kept on a horizontal table (the surface of concave mirror is friction-less and sliding not rolling). If the sphere is displaced from its equilibrium position and left, then it executes S.H.M. The period of oscillation will be Show Answer

Q192) A U tube of uniform bore of cross-sectional area A has been set up vertically with open ends facing up. Now m gm of a liquid of density d is poured into it. The column of liquid in this tube will oscillate with a period T such that Show Answer

Q193) Two simple pendulums of length 5 m and 20 m respectively are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed oscillations. Show Answer

Q194) An ideal spring with spring-constant K is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is Show Answer

Q195) A disc of radius R and mass M is pivoted at the rim and is set for small oscillations. If simple pendulum has to have the same period as that of the disc, the length of the simple pendulum should be Show Answer

Q196) A hollow sphere is filled with water through a small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flows out of the hole at the bottom, the period of oscillation will Show Answer

Q197) Two simple pendulums whose lengths are 100 cm and 121 cm are suspended side by side. Their bobs are pulled together and then released. After how many minimum oscillations of the longer pendulum, will the two be in phase again Show Answer

Q198) A uniform rod of length 2.0 m is suspended through an end and is set into oscillation with small amplitude under gravity. The time period of oscillation is approximately Show Answer

Q199) In case of a simple pendulum, time period versus length is depicted by Show Answer

Q200) The variation of the acceleration a of the particle executing S.H.M. with displacement y is as shown in the figure Show Answer

Q201) A body performs S.H.M. Its kinetic energy K varies with time t as indicated by graph Show Answer

Q202) Assertion : All oscillatory motions are necessarily periodic motion but all periodic motion are not oscillatory.
Reason : Simple pendulum is an example of oscillatory motion.
Show Answer

Q203) Assertion : Simple harmonic motion is a uniform motion.
Reason : Simple harmonic motion is the projection of uniform circular motion. Show Answer

Q204) Assertion : Acceleration is proportional to the displacement. This condition is not sufficient for motion in simple harmonic.
Reason : In simple harmonic motion direction of displacement is also considered. Show Answer

Q205) Assertion : Sine and cosine functions are periodic functions.
Reason : Sinusoidal functions repeats it values after a definite interval of time. Show Answer

Q206) Assertion : The graph between velocity and displacement for a harmonic oscillator is a parabola.
Reason : Velocity does not change uniformly with displacement in harmonic motion. Show Answer

Q207) Assertion : When a simple pendulum is made to oscillate on the surface of moon, its time period increases.
Reason : Moon is much smaller as compared to earth.
Show Answer

Q208) Assertion : Resonance is special case of forced vibration in which the natural frequency of vibration of the body is the same as the impressed frequency of external periodic force and the amplitude of forced vibration is maximum.
Reason : The amplitude of forced vibrations of a body increases with an increase in the frequency of the externally impressed periodic force. Show Answer

Q209) Assertion : The graph of total energy of a particle in SHM w.r.t., position is a straight line with zero slope.
Reason : Total energy of particle in SHM remains constant throughout its motion. Show Answer

Q210) Assertion : The percentage change in time period is 1.5%, if the length of simple pendulum increases by 3%.
Reason : Time period is directly proportional to length of pendulum. Show Answer

Q211) Assertion : Damped oscillation indicates loss of energy.
Reason : The energy loss in damped oscillation may be due to friction, air resistance etc. Show Answer

Q212) Assertion : If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes four times.
Reason : The total energy is directly proportional to the square of amplitude of vibration of the harmonic oscillator. Show Answer

Q213) Assertion : For an oscillating simple pendulum, the tension in the string is maximum at the mean position and minimum at the extreme position.
Reason : The velocity of oscillating bob in simple harmonic motion is maximum at the mean position. Show Answer

Q214) Assertion : The spring constant of a spring is k. When it is divided into n equal parts, then spring constant of one piece is k/n.
Reason : The spring constant is independent of material used for the spring. Show Answer

Q215) Assertion : The periodic time of a hard spring is less as compared to that of a soft spring.
Reason : The periodic time depends upon the spring constant, and spring constant is large for hard spring. Show Answer

Q216) Assertion : In extreme position of a particle executing S.H.M., both velocity and acceleration are zero.
Reason : In S.H.M., acceleration always acts towards mean position. Show Answer

Q217) Assertion : Soldiers are asked to break steps while crossing the bridge.
Reason : The frequency of marching may be equal to the natural frequency of bridge and may lead to resonance which can break the bridge. Show Answer

Q218) Assertion : The amplitude of oscillation can never be infinite.
Reason : The energy of oscillator is continuously dissipated. Show Answer

Q219) Assertion :The amplitude of an oscillating pendulum decreases gradually with time.
Reason : The frequency of the pendulum decreases with time. Show Answer

Q220) Assertion : Consider motion for a mass spring system under gravity, motion of M is not a simple harmonic motion unless Mg is negligibly small.
Reason : For simple harmonic motion acceleration must be proportional to displacement and is directed towards the mean position. Show Answer

Q221) A spring with 10 coils has spring constant k. It is exactly cut into two halves, then each of these new springs will have a spring constant Show Answer

Q222) The periodic time of a particle doing simple harmonic motion is 4 second. The time taken by it to go from its mean position to half the maximum displacement (amplitude) is Show Answer

Q223) The kinetic energy and the potential energy of a particle executing S.H.M. are equal. The ratio of its displacement and amplitude will be Show Answer

Q224) Two simple pendulums of lengths 1.44 m and 1 m start swinging together. After how many vibrations will they again start swinging together Show Answer

Q225) A particle doing simple harmonic motion, amplitude = 4 cm, time period = 12 sec. The ratio between time taken by it in going from its mean position to 2 cm and from 2 cm to extreme position is Show Answer

Q226) On a planet a freely falling body takes 2 sec when it is dropped from a height of 8 m, the time period of simple pendulum of length 1 m on that planet is Show Answer

Q227) If a simple pendulum is taken to place where g decreases by 2%, then the time period Show Answer

Q228) If a body is executing simple harmonic motion then Show Answer

Q229) A particle of mass 200 g executes SHM. The restoring force is provided by a spring of force constant 80 N/m. The time period of oscillation is Show Answer

Q230) Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing S.H.M. is Show Answer

Q231) The graph between the time period and the length of a simple pendulum is Show Answer

Q232) How does time period of a pendulum very with length? Show Answer

Q233) To make the frequency double of a spring oscillator, we have to Show Answer

Q234) The total energy of a simple harmonic oscillator is proportional to Show Answer

Q235) A block is resting on a piston which is moving vertically with SHM of period 1.0 s. At what amplitude of
motion will the block and piston separate? Show Answer

Q236) A hollow sphere is filled with water through the small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flow out of the hole at the bottom, the period of oscillation will Show Answer

Q237) Two simple pendulum of length 0.5 m and 20 m respectively are given small linear displacement in one
direction at the same time. They will again be in the phase when the pendulum of shorter length has completed… oscillations. Show Answer

Q238) The total energy of a particle executing SHM is 80 J. What is the potential energy when the particle is at a
distance of 3/4 of amplitude from the mean position? Show Answer

Q239) Consider the following statements :
The total energy of a particle executing simple harmonic motion depends on its
I. Amplitude
II. Period
III. Displacement Of these statements Show Answer

Q240) If a watch with a wound spring is taken on to the moon, it Show Answer

Q241) What is the effect on the time period of a simple pendulum if the mass of the bob is doubled Show Answer

Q242) A body of mass 4 kg hangs from a spring and oscillates with a period 0.5 s on the removel of the body, the spring is shortented by Show Answer

Q243) The periodic time of a particle doing simple harmonic motion is 4 s. The taken by it to go from its mean position to half the maximum displacement (amplitude)
Show Answer

Q244) The ratio of frequencies of two pendulum are 2:3, then their lengths are in ratio Show Answer

Q245) A particle is executing S.H.M. Then the graph of acceleration as a function of displacement is Show Answer

Q246) Two pendulums of lengths 1m and 1.21m respectively start swinging together with same amplitude. The
number of vibrations that will be executed by the longer pendulum before the two will swing together again are Show Answer

Q247) The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming
out, the time period of oscillation would Show Answer

Q248) A pendulum clock is placed on the moon, where object weighs only one-sixth as much as on earth, how
many seconds the clock tick out in an actual time of 1 minute the clock keeps good time on earth? Show Answer

Q249) Which one of the following is a simple harmonic motion Show Answer

Q250) The bob of a simple pendulum of length L is released at time t = 0 from a position of small angular displacement. Its linear displacement at time t is given by
Show Answer

Q251) Two particles execute SHM of the same amplitude and frequency along the same straight line. If they pass one another when going in opposite directions, each time their displacement is half their amplitude, the phase difference between them is Show Answer

Q252) A particle executing a simple harmonic motion has a period of 6 s. The time taken by the particle to move from the mean position to half the amplitude, starting from the mean position is Show Answer

Q253) The circular motion of a particle with constant speed is Show Answer

Q254) The average acceleration of a particle performing SHM over one complete oscillation is Show Answer

Q255) A tunnel is made across the earth of radius R, passing through its centre. A ball is dropped from a height h in the tunnel. The motion will be periodic with time period. Show Answer

Q256) A particle of mass 1 kg is moving in SHM with an amplitude 0.02 m and a frequency of 60 Hz. The maximum force in newton acting on the particle is Show Answer

Q257) The restoring force of SHM is maximum when particle Show Answer

Q258) A particle is executing simple harmonic motion with an amplitude A and time period T. The displacement of the particle after 2T period from its initial position is Show Answer

Q259) A particle is executing SHM with amplitude a. when the PE of a particle is one-fourth of its maximum value
during the oscillation, its displacement from the equilibrium position will be Show Answer

Q260) The potential energy of a simple harmonic oscillator when the particle is half way to its end point is
(where E is the total energy) Show Answer

Q261) If the displacement equation of a particle be represented by y = A sin PT + B cos PT, the particle executes Show Answer

Q262) A uniform spring of force constant k is cut into two pieces whose lengths are in the ratio of 1:2.
What is the force constant of second piece in terms of k? Show Answer

Q263) A particle is subjected simultaneously to two SHM’s one along the x-axis and the other along the
y-axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute Show Answer

Q264) A mass of 10 kg is suspended from a spring balance. It is pulled aside by a horizontal string so that it
makes angle of 60° with the vertical. The new reading of the balance is Show Answer

Q265) Two identical pendulum are oscillating with amplitudes 4 cm and 8 cm. the ratio of their energies of oscillation will be Show Answer

Q266) U is the PE of an oscillating particle and F is the force acting on it at a given instant. Which of the following is true? Show Answer

Q267) A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is Show Answer

Q268) A particle executes S.H.M. with a period of 6 second and amplitude of 3 cm. Its maximum speed in cm/s is Show Answer

Q269) A large horizontal surface moves up and down in SHM with an amplitude of 1 cm. if a mass of 10 kg (which is placed on the surface) id to remain continuously is in contact with it. The maximum frequency of SHM will be Show Answer

Q270) A mass M, attached to a spring, Oscillates with a period of 2 s. If the mass is increased by 4 kg, the time period increases by 1 s. Assuming that Hooke’s law is obeyed, the initial mass M was Show Answer

Q271) A body having natural frequency v′ is executing forced oscillations under a driving force of frequency. The system will vibrate Show Answer

Q272) A particle of mass m is located in a one dimensional potential field where potential energy is given by (x)=A(1−cospx) , where A and p are constants. The period of small oscillations of the particle is Show Answer

Q273) The displacement of a particle executing SHM is given by y=0.25 sin 200t cm. the maximum speed of the particle is Show Answer

Q274) A particle of mass 10 g is describing S.H.M. along a straight line with period of 2 s and amplitude of 10 cm. Its kinetic energy when it is at 5 cm from its equilibrium position is Show Answer

Q275) In case of a forced vibration, the resonance wave becomes very sharp when the Show Answer

Q276) If a spring extends by x on loading then the energy stored in the spring is (if T is the tension and k is the force constant of the of the spring). Show Answer

Q277) The period of oscillation of a mass m suspended from a spring is 2 s. If along with it another mass 2 kg is also suspended, the period of oscillation increases by 1 s. the mass m will be Show Answer

Q278) The motion which is not simple harmonic is Show Answer

Q279) A man measures the period of a simple pendulum inside a stationary lift ad finds it to be T second. If the lift accelerates upwards with an acceleration g/4, then the period of pendulum will be Show Answer

Q280) A uniform cylinder of length L and mass M having cross sectional area A is suspended with its vertical length, from a fixed point by a massless spring, such that it is half submerged in a liquid of density d at equilibrium position. When released, it starts oscillating vertically with a small amplitude. If the force constant of the spring is k, the frequency of oscillation of the cylinder is Show Answer

Q281) A S.H.M. has amplitude ′a′ and time period T. The maximum velocity will be Show Answer

Q282) Which of the following combination of Lissajous’ figure will be like eight (8)? Show Answer

Q283) A girl swings on cradle in a sitting position. If she stands what happens to the time period of girl and cradle? Show Answer

Q284) The displacement of a particle of mass 3 g executing simple harmonic motion is given by Y=3 sin (0.2t) in SI units. The KE of the particle at a point which is at a distance equal to 1/3 of its amplitude from its mean position is Show Answer

Q285) When the amplitude of a body executing SHM become twice what happens? Show Answer

Q286) The length of simple pendulum is increased by 1%. Its time period will Show Answer

Q287) A particle starts SHM form the mean position. Its amplitude is a and total energy E. At one instant its kinetic energy is 3 E/4 its displacement at this instant is Show Answer

Q288) In SHM restoring force is F=−k x, where k is force constant, x is displacement and A is amplitude of motion, then total energy depends upon Show Answer

Q289) When the kinetic energy of a body executing S.H.M. is 1/3 of the potential energy. The displacement of the body is x percent of the amplitude, where x is Show Answer

Q290) A particle moving along the x-axis executes simple harmonic motion, then the force acting on it is given by Show Answer

Q291) A particle is executing SHM with amplitude a. When the PE of a particle is one-fourth of its maximum value during the oscillation, its displacement from the equilibrium position will be Show Answer

Q292) A second’s pendulum is placed in a space laboratory orbiting around the earth at a height 3R, where R is the radius of the earth. The time period of the pendulum is Show Answer

Q293) A particle of amplitude A is executing simple harmonic motion. When the potential energy of particle is half of its maximum potential energy, then displacement from its equilibrium position is Show Answer

Q294) A body executes simple harmonic motion. The potential energy (PE), the kinetic energy (KE) and total energy (TE) are measured as function of displacement x. Which of the following statement is true? Show Answer

Q295) The height of a swing changes during its motion from 0.1 m to 2.5 m. The minimum velocity of a boy who swings in this swing is Show Answer

Q296) The time period of a simple pendulum, when it is made to oscillate on the surface of moon Show Answer

Q297) Two points are located at a distance of 10 m and 15 m from the source of oscillation. The period of oscillation is 0.05 sec and the velocity of the wave is 300 m/sec. What is the phase difference between the oscillations of two points Show Answer

Q298) Infinite springs with force constants k,2k,4k and 8k….. respectively are connected in series. The effective force constant of the spring will be Show Answer

Q299) For a simple pendulum the graph between L and T will be Show Answer

Q300) In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of Show Answer

Q301) A particle executes SHM of amplitude 25 cm and time period 3 s. What is the minimum time required for the particle to move between two points 12.5 cm on either side of the mean position? Show Answer

Q302) Two identical blocks A and B, each of mass m resting on smooth floor, are connected by a light spring of natural length L and the spring constant k, with the spring at its natural length. A third identical block at C (mass m) moving with a speed (v) along the line joining A and B collides with A. The maximum compression in the spring is proportional to Show Answer

Q303) The KE and PE of a particle executing SHM of amplitude a will be equal when displacement is Show Answer

Q304) A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic Show Answer

Q305) Graph between velocity and displacement of a particle, executing S.H.M. is Show Answer

Q306) Ratio of kinetic energy at mean position to potential energy at A/2 of a particle performing SHM Show Answer

Q307) The acceleration of a particle in S.H.M. is Show Answer

Q308) Two pendulums of length 212 cm and 100 cm start vibrating. At same instant the two are in the mean position in the same phase. After how many vibrations of the shorter pendulum, the two will be in phase in the mean position? Show Answer

Q309) A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in second is Show Answer

Q310) The period of a simple pendulum inside a stationary lift is T. The lift accelerates upwards with an acceleration of g/s. The time period of pendulum will be Show Answer

Q311) The total energy of a particle executing S.H.M. is proportional to Show Answer

Q312) The kinetic energy and potential energy of a particle executing simple harmonic motion will be equal, when displacement Show Answer

Q313) A simple pendulum, suspended from the ceiling of a stationary van, has time period T. If the van starts moving with a uniform velocity the period of the pendulum will be Show Answer

Q314) How does the time period of pendulum vary with length Show Answer

Q315) A plate oscillates with time period ′T′. Suddenly, another plate put on the first time, then time period Show Answer

Q316) The maximum velocity of a particle executing SHM is V. If the amplitude is doubled and the time period of oscillation decreased to 1/3 of its original value, the maximum velocity becomes Show Answer

Q317) If the length of second’s pendulum is increased by 2% How many seconds it will lose per day? Show Answer

Q318) A simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x=a to x=a/2 is Show Answer

Q319) When the displacement is half the amplitude, the ratio of potential energy to the total energy is Show Answer

Q320) A spring of force constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force constant of Show Answer

Q321) Two mutually perpendicular simple harmonic vibrations have same amplitude, frequency and phase. When they superimpose, the resultant from of vibration will be Show Answer

Q322) For Simple Harmonic Oscillator, the potential energy is equal to kinetic energy Show Answer

Q323) A light spiral spring supports a 200 g weight at its lower end. It oscillates up and down with a period of 1 s. How much weight (in gram) must be removed from the lower end to reduce the period to 0.5 s? Show Answer

Q324) An elastic string has a length l when tension in it is 5 N. Its length is h when tension is of 4 N. on subjecting the string to a tension of 9 N, its length will be Show Answer

Q325) If a simple pendulum oscillates with an amplitude of 50 mm and time period of 2 s, then its maximum velocity is Show Answer

Q326) When the displacement is half of the amplitude, then what fraction of the total energy of a simple harmonic oscillator is kinetic? Show Answer

Q327) The time period of a mass suspended from a spring is 5 s. The spring is cut into four equal parts and the same mass is now suspended from one of its parts. The period is now Show Answer

Q328) Which of the following equations does not represent a simple harmonic motion Show Answer

Q329) Two simple harmonic motions of angular frequency 100 and 1000 rad/s have the same displacement amplitude. The ratio of their maximum acceleration is Show Answer

Q330) An ideal spring with spring constant K=200 N/m is fixed on one end on a wall. If the spring is pulled with a force 10 N at the other end along its length, how much it will extended? Show Answer

Q331) Masses m and 3 m are attached to the two ends of a spring of constant k. If the system vibrates freely. The period of oscillation will be Show Answer

Q332) In a simple harmonic motion maximum velocity is at Show Answer

Q333) What is time period of pendulum hanged in satellite?
(T is time period on earth) Show Answer

Q334) In a simple pendulum, the period of oscillation T is related to length of the pendulum l as Show Answer

Q335) The time period of a simple pendulum is 2 s. If its length is increased 4 times, then its period becomes Show Answer

Q336) Acceleration of a particle, executing SHM, at it’s mean position is Show Answer

Q337) Which one of the following equations does not represent SHM, x = displacement and t = time. Parameters a, b and c are the constants of motion? Show Answer

Q338) A weightless spring which has a force constant k oscillates with frequency n when a mass m is suspended from it. The spring is cut into two equal halves and a mass 2 m is suspended from one part of spring. The frequency of oscillation will now become Show Answer

Q339) Average value of KE and PE over entire time period is Show Answer

Q340) A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The
minimum time taken by the particle to travel half of the amplitude from the equilibrium is Show Answer

Q341) Two equal negative charge –q are fixed points (0, a) and (0,-0) on the Y-axis. A positive charge Q is
released from rest at point (2a, 0) on the X-axis. The charge Q will Show Answer

Q342) A point mass m is suspended at the end of a massless wire of length L and cross-section area A. If
Y is the Young’s modulus for the wire, then the frequency of oscillations for the SHM along the
vertical line is Show Answer

Q343) When a mass M is attached to the spring of force constant k, then the spring stretches by l. If the mass oscillates with amplitude l, what will be maximum potential energy stored in the spring Show Answer

Q344) A simple pendulum is attached to the roof of a lift. If time period of oscillation, when the lift is stationary is T. Then frequency of oscillation, when the lift falls freely, will be Show Answer

Q345) The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is Show Answer

Q346) In a seconds pendulum, mass of the bob is 30 g. If it is replaced by 90 g mass, then its time period
will be Show Answer

Q347) A heavy brass sphere is hung from a weightless inelastic spring and as a simple pendulum its timeperiod of oscillation is T. When the sphere is immersed in a non-viscous liquid of density 1/10 that of brass, it will act as a simple pendulum of period Show Answer

Q348) A system exhibiting S.H.M. must possess Show Answer

Q349) The time period of the variation of potential energy of a particle executing SHM with period T is Show Answer

Q350) The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is Show Answer

Q351) The potential energy of a particle executing S.H.M. is 2.5 J, when its displacement is half of amplitude. The total energy of the particle be Show Answer

Q352) The amplitude of a particle executing SHM is made three-fourth keeping its time period constant. Its total energy will be Show Answer

Q353) A simple harmonic oscillator has a period T and energy E. the amplitude of the oscillator is doubled. Choose the correct answer. Show Answer

Q354) In S.H.M. maximum acceleration is at Show Answer

Q355) If two springs A and B with spring constants 2 k and k, are stretched separately by same suspended weight, then the ratio between the work done in stretched A and B is Show Answer

Q356) The differential equation of a particle executing SHM along y-axis is Show Answer

Q357) The velocity of a particle performing simple harmonic motion, when it passes through its mean position is Show Answer

Q358) A body is executing S.H.M. When its displacement from the mean position is 4 cm and 5 cm, the corresponding velocity of the body is 10 cm/s and 8 cm/s. Then the time period of the body is Show Answer

Q359) A particle doing simple harmonic motion, amplitude =4 cm, time period =12 s. The ratio between time taken by it in going from its mean position to 2 cm and from 2 cm to extreme position is Show Answer

Q360) The velocity of particle in simple harmonic motion at displacement y from mean position is Show Answer

Q361) Two particles A and B execute simple harmonic motion of period T and 5T/4 They start from mean position. The phase difference between them when the particle A complete an oscillation will be Show Answer

Q362) A lift is ascending with an acceleration equal to g/3. Its time period of oscillation isT. What will be the time period of a simple pendulum suspended from its ceiling in stationary lift? Show Answer

Q363) The time period of a particle in simple harmonic motion is 8 seconds. At t=0, it is at the mean position. The ratio of the distances travelled by it in the first and second seconds is Show Answer

Q364) Choose the correct statement : Show Answer

Q365) The period of particle in linear SHM is 8 s. At t=0, it is at the mean position. The ratio of the distances
travelled by it in Its second and 2nd second is Show Answer

Q366) A particle is having kinetic energy 1/3 of the maximum value at a distance of 4 cm from the mean position,
Find the amplitude of motion. Show Answer

Q367) The displacement y in cm is given in terms of time t sec by the equation
y = 3 sin 314t + 4 cos314t
The amplitude of SHM is Show Answer

Q368) The magnitude of maximum acceleration is π times that of maximum velocity of a simple harmonic oscillator. The time period of the oscillator in second is Show Answer

Q369) Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what
time will its kinetic energy be 75% of the total energy? Show Answer

Q370) Which of the following function represents a simple harmonic oscillation Show Answer

Q371) If the period of oscillation of mass m suspended from a spring is 2 s, then the period of mass 4m will be Show Answer

Q372) A horizontal plank has a rectangular block placed on it. The plank stars oscillating vertically and simple harmonically with an amplitude of 40 cm. the block just loses contact with the plank when the later is momentary at rest. Then Show Answer

Q373) If a simple pendulum is taken to a place where g decreases by 2% then the time period Show Answer

Q374) A spring (spring constant =k) is cut into 4 equal parts and two parts are connected in parallel. What is the effective spring constant? Show Answer

Q375) The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean position to extreme position (A) is given by Show Answer

Q376) Which graph represents the difference between total and potential energy of a particle executing SHM versus it's distance from mean position? Show Answer

Q377) In a linear Simple Harmonic Motion (SHM) A. Restoring force is directly proportional to the displacement.
B. The acceleration and displacement are opposite in direction.
C. The velocity is maximum at mean position.
D. The acceleration is minimum at extreme points.
Choose the correct answer from the options given below.
Show Answer

Q378) A particle executes SHM of amplitude A. The distance from the mean position when it's kinetic energy becomes equal to its potential energy is Show Answer

Q379) A particle is executing simple harmonic motion (SHM). The ratio of potential energy and kinetic energy of the particle when its displacement is half of its amplitude will be Show Answer

Q380) The maximum potential energy of a block executing simple harmonic motion is 25 J. A is amplitude of oscillation. At A/2, the kinetic energy of the block is Show Answer

Q381) For a body executing SHM
A. potential energy is always equal to its kinetic energy. B. average potential and kinetic energy over any given time interval are always equal.
C. sum of the kinetic and potential energy at any point of time is constant.
D. average kinetic energy in one time period is equal to average potential energy in one time period. Choose the most appropriate option from the given below.
Show Answer

Q382) A particle starts executing simple harmonic motion (SHM) of amplitude a and total energy E. At any instant, its kinetic energy is 3E/4, then its displacement y is given by Show Answer

Q383) In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the particle is midway between mean and extreme position. Show Answer

Q384) For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal? Show Answer

Q385) A particle executes SHM, the graph of velocity as a function of displacement is Show Answer

Q386) When a particle executes SHM, the nature of graphical representation of velocity as a function of [2021, 24 Feb Shift-II] displacement is Show Answer

Q387) A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean position, the magnitude of its velocity in SI units is equal to that of its acceleration. Then, its periodic time (in seconds) is
Show Answer

Q388) A particle is executing simple harmonic motion with a time period T. At time t=0, it is at its position of equilibrium. The kinetic energy-time graph of the particle will look, like Show Answer

Q389) A particle performs simple harmonic motion with amplitude A. Its speed is trebled at the instant that it is at a distance 2/3A from equilibrium position. The new amplitude of the motion is Show Answer

Q390) A particle moves with simple harmonic motion in a straight line. In first t sec, after starting from rest, it travels a distance a and in next t sec, it travels 2a in same direction, then

Show Answer

Q391) A particle of mass m executes simple harmonic motion with amplitude a and frequency v. The average kinetic energy during its motion from the position of equilibrium to the end is Show Answer

Q392) Starting from the origin, a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy ? Show Answer

Q393) The total energy of a particle, executing simple harmonic motion is
Show Answer

Q394) In a simple harmonic oscillator, at the mean position Show Answer

Q395) A simple pendulum with length 100 cm and bob of mass 250 g is executing S.H.M. of amplitude 10 cm. The maximum tension in the string is found to be x/40 N. The value of x is Show Answer

Q396) The amplitude of a particle executing SHM is 3 cm. The displacement at which its kinetic energy will be 25% more than the potential energy is .. ..... cm. Show Answer

Q397) A particle of mass 250 g executes a simple harmonic motion under a periodic force F = (-25x) N. The particle attains a maximum speed of 4 m/s during its oscillation. The amplitude of the motion is ....... cm. Show Answer

Q398) A particle executes simple harmonic motion. Its amplitude is 8 cm and time period is 6s. The time it will take to travel from its position of maximum displacement to the point corresponding to half of its amplitude, is ......... S. Show Answer

Q399) Two waves executing simple harmonic motions travelling in the same direction with same amplitude and frequency are superimposed. The resultant amplitude is equal to the √3 times of amplitude of individual motions.
The phase difference between the two motions is ... (degree).
Show Answer

Q400) Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion (A) A pendulum clock when taken to Mount Everest becomes fast.
Reason (R) The value of g (acceleration due to gravity) is less at Mount Everest than its value on the surface of earth.
In the light of the above statements, choose the most appropriate answer from the options given below. Show Answer

Q401) The displacement of simple harmonic oscillator after 3s starting from its mean position is equal to half of its amplitude. The time period of harmonic motion is Show Answer

Q402) Time period of a simple pendulum in a stationary lift is T. If the lift accelerates with g/6 vertically upwards,
then the time period will be (where, g = acceleration due to gravity) Show Answer

Q403) Two massless springs with spring constants 2 k and 9 k, carry 50 g and 100 g masses at their free ends. These two masses oscillate vertically such that their maximum velocities are equal. Then, the ratio of their respective amplitudes will be Show Answer

Q404) A particle performs simple harmonic motion with a period of 2 s. The time taken by the particle to cover a displacement equal to half of its amplitude from the mean position is 1/ a s. The value of a to the nearest integer is Show Answer

Q405) A particle executes SHM with amplitude a and time period T. The displacement of the particle when its speed is half of maximum speed is √xa /2. The value of x is.... Show Answer

Q406) A bob of mass m suspended by a thread of length undergoes simple harmonic oscillations with time period T. If the bob is immersed in a liquid that has density 1/4 times that of the bob and the length of the thread is increased by 1/3rd of the original length, then the time period of the simple harmonic oscillations will be Show Answer

Q407) Time period of a simple pendulum is T inside a lift, when the lift is stationary. If the lift moves upwards with an acceleration g/2, then the time period of pendulum will be Show Answer

Q408) Given below are two statements:
Statement I A second's pendulum has a time period of 1 s.
Statement II It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the options given below.
Show Answer

Q409) If the time period of a 2 m long simple pendulum is 002 s, the acceleration due to gravity at the place, where pendulum is executing SHM is Show Answer

Q410) For a simple pendulum, a graph is plotted between its Kinetic Energy (KE) and Potential Energy (PE) against its displacement (d) Which one of the following represents these correctly? (graphs are schematic and not drawn to scale) Show Answer

Q411) A wooden cube (density of wood d) of side l floats in a liquid of density p with its upper and lower surfaces horizontal. If the cube is pushed slightly down and released, it performs simple harmonic motion of period, T. Then, T is equal to Show Answer

Q412) A mass M is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes 57/3, then the ratio of m/M is Show Answer

Q413) The length of a simple pendulum executing simple harmonic motion is increased by 21%. The percentage increase in the time period of the pendulum of increased length is Show Answer

Q414) A child swinging on a swing in sitting position, stands then the time period of the swing will Show Answer

Q415) A rectangular block of mass 5 kg attached to a horizontal spiral spring executes simple harmonic motion of amplitude 1 m and time period 3.14 s. 08 The maximum force exerted by spring on block is ...... N. Show Answer

Q416) The metallic bob of simple pendulum has the relative density 5. The time period of this pendulum is 10 s. If the metallic bob is immersed in water, then the new time period becomes 5√x s. The value of x will be .....
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Q417) A body is performing simple harmonic motion with an amplitude of 10 cm. The velocity of the body was tripled by air jet when it is at 5 cm from its mean position. The new amplitude of vibration is 5√x cm. The value of x is Show Answer

Q418) Amplitude of a mass-spring system which is executing simple harmonic motion decreases with time. If mass =500 g. Decay constant=20 g/s then how much is to system to poor time is required for the amplitude of the drop to half of its initial value?
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Q419) A block of mass 1 kg attached to a spring is made to oscillate with an initial amplitude of 12 cm. After 2 min, the amplitude decreases to 6 cm. Determine the value of the damping constant for this motion. (Take, In 2=0.693)
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Q420) A damped harmonic oscillator has a frequency of 5 oscillations per second. The amplitude drops to half its value for every 10 oscillations. The time it will take to drop to 1/1000 of the original amplitude is close to Show Answer

Q421) The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5s. In another 10s, it will decrease to a times its original magnitude, where a equals Show Answer