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) If the length of second's pendulum is increased by 2%, how many seconds it loses per day? Show Answer

Q28) Tow 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

Q29) 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

Q30) 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

Q31) 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

Q32) The average acceleration in one time period in a S;H.M. is: Show Answer

Q33) If a watch with a wound spring is taken into the moon, it: Show Answer

Q34) 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

Q35) 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 per sec and 8 cm per sec respectively. Then the time period of the body is: Show Answer

Q36) 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

Q37) 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

Q38) 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

Q39) 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

Q40) 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

Q41) 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

Q42) 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

Q43) 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

Q44) 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

Q45) 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 oscillations: Show Answer

Q46) Two simple pendulums 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: Show Answer

Q47) 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

Q48) 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

Q49) 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

Q50) 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

Q51) One-fourth length of a spring with force constant 'k' is cut away. The force constant of the remaining part is: Show Answer

Q52) 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

Q53) 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

Q54) The total energy of a particle, executing S.H.M. is: Show Answer

Q55) 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

Q56) 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

Q57) 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

Q58) In a simple pendulum, if K.E. is one-fourth of total energy then displacement (x) is related to amplitude 'A', as: Show Answer

Q59) When the displacement is half the amplitude the ratio of potential energy to the total energy is: Show Answer

Q60) 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

Q61) A simple harmonic oscillator has a period T and energy E. The amplitude of the oscillator is doubled. Choose the correct answer: Show Answer

Q62) 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

Q63) 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

Q64) The total energy of a particle performing S.H.M. depends on: Show Answer

Q65) Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing S.H.M. is: Show Answer

Q66) The ratio of kinetic energy of mean position to the potential energy when the displacement is half of the amplitude is: Show Answer

Q67) 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

Q68) 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

Q69) 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

Q70) The P.E. of a simple harmonic oscillator, when the particle is half way to its end point is: Show Answer

Q71) In case of a forced vibrations, the resonance wave becomes very sharp when the: Show Answer

Q72) 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

Q73) The equation of motion of simple harmonic oscillation is: Show Answer

Q74) 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

Q75) Pendulum after some time becomes slow in motion and finally slopes due to: Show Answer

Q76) 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

Q77) A simple pendulum has time period T. The bob is given negative charge and surface below it is given positive charge. The new time period will be: Show Answer

Q78) The circular motion of a particle with constant speed is: Show Answer

Q79) 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

Q80) Which of the following functions represents a simple harmonic oscillations? Show Answer

Q81) If the length of the pendulum is made 9 times and mass of the bob is made 4 times then the value of time period becomes: Show Answer

Q82) Which of the following is not characteristics of S.H. oscillations? Show Answer

Q83) The phase difference between the instantaneous velocity and acceleration of a paritcel executing simple harmonic motion is: Show Answer

Q84) 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

Q85) 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

Q86) 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

Q87) 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

Q88) 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