Practice Test

Q1) Two bars A and B of circular cross-section and of same volume and made of the same material are subjected to tension. If the diameter of A is half that of B and if the force applied to both the rods is the same and it is in the elastic limit, the ratio of extension of A to that of B will be Show Answer

Q2) Four wires of the same material are stretched by the same load. Which one of them will elongate most if their dimensions are as follows Show Answer

Q3) The bulk modulus of an ideal gas at constant temperature Show Answer

Q4) Two wires of same material and radius have their lengths in ratio 1:2. If these wires are stretched by the same force, the strain produced in the two wires will be in the ratio Show Answer

Q5) If a bar is made of copper whose coefficient of linear expansion is one and a half times that of iron, the ratio of the force developed in the copper bar to the iron bar of identical lengths and cross-sections, when heated through the same temperature range (Young’s modulus for copper may be taken equal to that of iron) is Show Answer

Q6) To break a wire of one metre length, minimum 40 kg wt, is required. Then the wire of the same material of double radius and 6 m length will require breaking weight Show Answer

Q7) The Young’s modulus of the material of a wire is equal to the Show Answer

Q8) When a certain weight is suspended from a long uniform wire, its length increases by 1 cm. If the same weight is suspended from another wire of the same material and length but having a diameter half of the first one, the increase in length will be Show Answer

Q9) A force F is required to break a wire of length l and radius r. What force is required to break a wire, of the same material, having twice the length and six times the radius ? Show Answer

Q10) To keep constant time, watches are fitted with balance wheel made of Show Answer

Q11) Young’s modulus of perfectly rigid body material is Show Answer

Q12) A wire can be broken by applying a load of 200 N. The force required to break another wire of the same length and same material, but double in diameter, is Show Answer

Q13) When a weight of 10 kg is suspended from a copper wire of length 3 metres and diameter 0.4 mm, its length increases by 2.4 cm. If the diameter of the wire is doubled, then the extension in its length will be Show Answer

Q14) The following four wires of length L and radius r are made of the same material. Which of these will have the largest extension, when the same tension is applied? Show Answer

Q15) The mass and length of a wire are M and L respectively. The density of the material of the wire is d. On applying the force F on the wire, the increase in length is l, then the Young’s modulus of the material of the wire will be Show Answer

Q16) Wires A and B are made from the same material. A has twice the diameter and three times the length of B.
If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored
in A to that in B is Show Answer

Q17) Calculate the work done, if a wire is loaded by ′Mg′ weight and the increase in length is ′l′ Show Answer

Q18) A metallic ring of radius r and cross-sectional area A is fitted into a wooden circular disc of radius R(R>r).
If the Young’s modulus of the material of the ring is Y , the force with which the metal ring expands is Show Answer

Q19) A cube is shifted to a depth of 100 m in a lake. The change in volume is 0.1%. The bulk modulus of the
material is nearly Show Answer

Q20) Forces of 100 N each are applied in opposite directions on the upper and lower faces of a cube of side 20
cm. The upper face is shifted parallel to itself by 0.25 cm. If the side of the cube were 10 cm, then the
displacement would be Show Answer

Q21) Which of the following statements is correct Show Answer

Q22) Two identical wires are suspended from the same rigid support but one is of copper and the other is of iron. Young’s modulus of iron is thrice that of copper. The weights to be added on copper and iron wires so that the ends are on the same level must be in the ratio of Show Answer

Q23) A 100 N force stretches the length of a hanging wire by 0.5 mm. The force required to stretch a wire, of the same material and length but having four times the diameter, by 0.5 mm is Show Answer

Q24) If a spring extends by x on loading, then the energy stored by the spring is (if T is tension in the spring and k is spring constant) Show Answer

Q25) A wire is stretched 1 mm by a force of 1 k N. How far would a wire of the same material and length but of four times that diameter be stretched by the same force ? Show Answer

Q26) A wire of natural length l, Young’s modulus Y and area of cross-section A is extended by x. Then the energy stored in the wire is given by Show Answer

Q27) Young’s modulus of the wire depends on Show Answer

Q28) An elastic material of Young’s modulus Y is subjected to a stress S. The elastic energy stored per unit volume of the material is Show Answer

Q29) A wire fixed at the upper end stretches by length by applying a force F. The work done in stretching is Show Answer

Q30) If work done in stretching a wire by 1 mm is 2 J, the work necessary for stretching another wire of same material, but wire double the radius and half length 1 mm joule is Show Answer

Q31) A load W produces an extension of 1mm in a thread of radius r. Now if the load is made 4W and radius is made 2r all other things remaining same, the extension will become Show Answer

Q32) A cube is subjected to a uniform volume compression. It the side of the cube decreases by 2%, the bulk strain is Show Answer

Q33) X linear strain is produced in a wire of elasticity coefficient Y. The stored potential energy in unit volume of this wire is Show Answer

Q34) A wire of length L and cross-section A is made of material of Young’s modulus Y. It is stretched by an amount x, the work done is Show Answer

Q35) A body of mass m is suspended to an ideal spring of force constant k. The expected change in the position of the body due to an additional force F acting vertically downwards is Show Answer

Q36) A uniform cube is subjected to volume compression. If each side is decreased by 1%, then bulk strain is Show Answer

Q37) Two wires of the same material and length but diameters in the ratio 1 : 2 are stretched by the same force. The potential energy per unit volume for the two wires when stretched will be in the ratio Show Answer

Q38) The increase in pressure required to decrease the 200 L volume of a liquid by 0.008% in kPa is (Bulk modulus of the liquid = 2100 MPa is) Show Answer

Q39) A wire is stretched by 0.01 m by a certain force F. Another wire of same material whose diameter and length are double to the original wire is stretched by the same force. Then its elongation will be Show Answer

Q40) A wire elongates by l mm when a load W is hanged from it. If the wire goes over a pulley and two weights W each are hung at the two ends, the elongation of the wire will be (in mm) Show Answer

Q41) A wire of length L and radius a rigidly fixed at one end. On stretching the other end of the wire with a force F, the increase in its length is l. If another wire of same material but of length 2L and radius 2a is stretched with a force 2F, the increase in its length will be Show Answer

Q42) A force F is needed to break a copper wire having radius R. The force needed to break a copper wire of radius 2R will be Show Answer

Q43) A load suspended by a massless spring produces an extension of x cm in equilibrium. When it is cut into two unequal parts, the same load produces an extension of 7.5 cm when suspended by the larger part of length 60 cm. When it is suspended by the smaller part, the extension is 5.0 cm. Then Show Answer

Q44) A pan with set of weights is attached with a light spring. When disturbed, the mass-spring system oscillates with a time period of 0.6 s. When some additional weights are added then time period is 0.7 s. The extension caused by the additional weights is approximately given by Show Answer

Q45) If x longitudinal strain is produced in a wire of Young’s modulus y, then energy stored in the material of the wire per unit volume is Show Answer

Q46) The Poisson’s ratio of a material is 0.4. If a force is applied to a wire of this material, there is decrease of
cross-sectional area by 2%. The percentage increase in its length is Show Answer

Q47) The possible value of Poisson’s ratio is Show Answer

Q48) A steel wire is stretched with a definite load. If the Young’s modulus of the wire is Y. For decreasing the
value of Y Show Answer

Q49) A uniform wire, fixed at its upper end, hangs vertically and supports a weight at its lower end. If its radius
is r, its length L and the Young’s modulus for the material of the wire is E, the extension is
1. directly proportional to E
2. inversely proportional to r
3. directly proportional to L Show Answer

Q50) For most materials the Young’s modulus is n times the rigidity modulus, where n is Show Answer

Q51) When a weight of 5 kg is suspended from a copper wire of length 30 m and diameter 0.5 mm, the length of
the wire increases by 2.4 cm. If the diameter is doubled, the extension produced is Show Answer

Q52) A fixed volume of iron is drawn into a wire of length L. The extension x produced in this wire by a constant force F is proportional to Show Answer

Q53) The lower surface of a cube is fixed. On its upper surface, force is applied at an angle of 30° from its surface. The change will be of the type Show Answer

Q54) A copper wire and a steel wire of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have Show Answer

Q55) Which of the following substance has the highest elasticity? Show Answer

Q56) If the force constant of a wire is K, the work done in increasing the length of the wire by l is Show Answer

Q57) The elastic energy stored in a wire of Young’s modulus Y is Show Answer

Q58) Two wires of equal lengths are made of the same material. Wire A has a diameter that is twice as that of wire B. If identical weights are suspended from the ends of these wires, the increase in length is Show Answer

Q59) A metallic rod of length l and cross-sectional area A is made of a material of Young modulus Y. If the rod is elongated by an amount y, then the work done is proportional to Show Answer

Q60) A wire fixed at the upper end stretches by length l by applying a force F. The work done in stretching is Show Answer

Q61) The isothermal elasticity of a gas is equal to Show Answer

Q62) If S is stress and Y is Young’s modulus of material of a wire, the energy stored in the wire per unit volume
is Show Answer

Q63) A cube of aluminium of sides 0.1 m is subjected to a sharing force of 100 N. The top face of the cube is
displaced through 0.02 cm with respect to the bottom face. The shearing strain would be Show Answer

Q64) Which of the following rods of same material undergoes maximum elongation when subjected to a given
force? Show Answer

Q65) A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower
end. The weight stretches the wire by 1 mm. Then the elastic energy stored in the wire is Show Answer

Q66) If in a wire of Young’s modulus Y, longitudinal strain X is produced then the potential energy stored in its
unit volume will be Show Answer

Q67) Two wires of the same length and same material but radii in the ratio of 1 : 2 are stretched by unequal
forces to produce equal elongation. The ratio of the two forces is Show Answer

Q68) The force constant of a wire is k and that of another wire of the same material is 2k. When both the wires are stretched, then work done is Show Answer

Q69) A wire is stretched under a force. If the wire suddenly snaps the temperature of the wire Show Answer

Q70) A 2 m long rod of radius 1 cm which is fixed from one end is given a twist of 0.8 radians. The shear strain developed will be Show Answer

Q71) The length of a wire is increased by 1 mm on the application of a given load. In a wire of the same material, but of length and radius twice that of the first, on the application of the same load, extension is Show Answer

Q72) The upper end of a wire 1 m long and 2 mm radius is clamped. The lower end is twisted through and angle of 45°. The angle of shear is Show Answer

Q73) The dimensions of four wires of the same material are given below. In which wire the increase in length will be maximum ? Show Answer

Q74) Which statement is true for a metal Show Answer

Q75) Two wires of copper having the length in the ratio 4:1 and their radii ratio as 1:4 are stretched by the same force. The ratio of longitudinal strain in the two will be Show Answer

Q76) Two wires A and B of same length, same area of cross-section having the same Young’s modulus are heated to the same range of temperature. If the coefficient of linear expansion of A is 3/2 times of that of wire B. The ratio of the forces produced in two wires will be Show Answer

Q77) A beam of metal supported at the two ends is loaded at the centre. The depression at the centre is proportional to Show Answer

Q78) Which one of the following statements is correct? In the case of Show Answer

Q79) If the Young’s modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be Show Answer

Q80) When a rubber cord is stretched, the change in volume with respect to change in its linear dimensions is
negligible. The Poisson’s ratio for rubber is Show Answer

Q81) On stretching a wire, the elastic energy stored per unit volume is Show Answer

Q82) The work done in deforming body is given by Show Answer

Q83) The Bulk modulus for an incompressible liquid is Show Answer

Q84) Two wires of lengthl, radius r and length 2l, radius 2r respectively having some Young’s modulus are hung with a weight mg. Net elongation is Show Answer

Q85) A wire of length L and radius r fixed at one end and a force F applied to the other end produces an extensionl. The extension produced in another wire of the same material of length 2L and radius 2r by a force 2F, is Show Answer

Q86) The breaking stress of a wire depends upon Show Answer

Q87) Young’s modulus of the material of a wire is Y. On pulling the wire by a force F, the increase in its length is x. The potential energy of the stretched wire is Show Answer

Q88) Energy stored in stretching a string per unit volume is Show Answer

Q89) What is the increase in elastic potential energy when the stretching force is increased by 200 kN? Show Answer

Q90) The radii and Young’s modulii of two uniform wiresA and B are in the ratio 2:1 and 1:2 respectively. Both wires are subjected to the same longitudinal force. If the increase in length of the wire A is one percent, the percentage increase in length of the wire B is Show Answer

Q91) The increase in length on stretching a wire is 0.05%. If its Poisson’s ratio is 0.4, the diameter is reduced by Show Answer

Q92) Which of the following substances has the highest elasticity? Show Answer

Q93) For a given material, the Young’s modulus is 2.4 times that of rigidity modulus. Its Poisson’s ratio is Show Answer

Q94) A spring of constant k is cut into parts of length in the ratio 1 : 2. The spring constant of larger on is 0 Show Answer

Q95) A uniform plank of Young’s modulus Y is moved over a smooth horizontal surface by a constant force F. The area of cross section of the plank is A. The compressive strain on the plank in the direction of the force is Show Answer

Q96) A wire of length L and area of cross-section A is stretched through a certain length l. If Y is Young’s modulus of the material of the wire, then the force constant of the wire is Show Answer

Q97) For a given material, the Young’s modulus is 2.4 times that of modulus of rigidity. Its Poisson’s ratio is Show Answer

Q98) The value of Poisson’s ratio lies between Show Answer

Q99) The increases in length is l of a wire of length L by the longitudinal stress. Then the stress is proportional to Show Answer

Q100) A wire of diameter 1mm breaks under a tension of 1000 N. Another wire, of same material as that of the first one, but of diameter 2 mm breaks under a tension of Show Answer

Q101) A rope 1cm in diameter breaks, if the tension in it exceeds 500 N. The maximum tension that may be given to similar rope of diameter 3 cm is Show Answer

Q102)
A rod elongated by l when a body of mass M is suspended from it. The work done is Show Answer

Q103) The only elastic modulus that applies to fluids is Show Answer

Q104) A gas has Bulk modulus K and natural density ρ. If pressure p is applied, what is change in density? Show Answer

Q105) The Poisson’s ratio cannot have the value Show Answer

Q106) Two identical wires of rubber and iron are stretched by the same weight, then the number of atoms in the iron wire will be Show Answer

Q107) The ratio of the adiabatic to isothermal elasticities of a triatomic gas is Show Answer

Q108) If the work done in stretching a wire by 1 mm is 2 J, the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by 1 mm is Show Answer

Q109) A wire is loaded by 6 kg at its one end, the increase in length is 12 mm. If the radius of the wire is doubled and all other magnitudes are unchanged, then increase in length will be Show Answer

Q110) After effects of elasticity are maximum for Show Answer

Q111) Modulus of rigidity of a liquid Show Answer

Q112) If the length of a wire is reduced to half, then it can hold the ………. load Show Answer

Q113) Which of the following relation is true? Show Answer

Q114) There are two wires of the same length. The diameter of second wire is twice that of the first. On applying the same load to both the wires, the extension produced in them will be in ratio of Show Answer

Q115) The extension in a string obeying Hooke’s law is x. The speed of sound in the stretched string is v. If the extension in the string is increased to 1.5 x, the speed of sound will be Show Answer

Q116) What among of work is done in increasing the length of a wire though unity ? Show Answer

Q117) Write copper, steel, glass and rubber in order of increasing coefficient of elasticity. Show Answer

Q118) Two wires of same diameter of the same material having the length l and 2l. If the force F is applied on each, the ratio of the work done in the two wires will be Show Answer

Q119) There is no change in the volume of a wire due to the change in its length on stretching. The Poisson’s ratio of the material of the wire is Show Answer

Q120) A wire suspended vertically from one of its ends is stretched by attaching a weight of 200 N to the lower end. The weight stretches the wire by 1mm. Then, the elastic energy stored in the wire is Show Answer

Q121) The ratio of diameters of two wires of same materials is n: 1. The length of each wire is 4 m. On applying the same load, the increase in length of thin wire will be (n>1) Show Answer

Q122) Shearing stress causes change in Show Answer

Q123) A cube is subjected to a uniform volume compression. If the side of the cube decreases by 1% the bulk strain is Show Answer

Q124) In the three states of matter, the elastic coefficient can be Show Answer

Q125) Two pieces of wire A and B of the same material have their lengths in the ratio 1 : 2, and their diameters are in the ratio 2 : 1. If they are stretched by the same force, their elongations will be in the ratio Show Answer

Q126) A 5 metre long wire is fixed to the ceiling. A weight of 10 kg is hung at the lower end and is 1 metre above the floor. The wire was elongated by 1 mm. The energy stored in the wire due to stretching is Show Answer

Q127) Which one of the following quantities does not have the unit of force per unit area Show Answer

Q128) A wire extends by 1 mm when a force is applied. Double the force is applied to another wire of same material and length but half the radius of cross-section. The elongation of the wire in mm will be Show Answer

Q129) According to Hooke’s law of elasticity, if stress is increased, them the ratio of stress to strain Show Answer

Q130) The twisting couple per unit twist for a solid cylinder of radius 3 cm is 0.1 N-m. The twisting couple per unit twist, for a hollow cylinder of same material with outer and inner radius 5 cm and 4 cm respectively will be Show Answer

Q131) Which of the following relations is true Show Answer

Q132) Two wires of the same material and length are stretched by the same force. Their masses are in the ratio 3:2. Their elongations are in the ratio Show Answer

Q133) Stress to strain ratio is equivalent to Show Answer

Q134) The material which practically does not show elastic after effect is Show Answer

Q135) If the thickness of the wire is doubled, then the breaking force in the above question will be Show Answer

Q136) If a spring is extended to length l, then according to Hooke’s law Show Answer

Q137) Mark the wrong statement Show Answer

Q138) When a 4 kg mass is hung vertically on a light spring that obeys Hook’s law, the spring stretches by 2 cm. The work required to be done by an external agent in stretching this spring by 5 cm will be Show Answer

Q139) There is no change in the volume of a wire due to change in its length on stretching. The Poisson’s ratio of the material of wire is Show Answer

Q140) A height spring extends 40 mm when stretched by a force of 10 N, and for tensions up to this value the extension is proportional to the stretching force. Two such springs are joined end-to-end and the double- length spring is stretched 40 mm beyond its natural length. The total strain energy in (joule), stored in the double spring is Show Answer

Q141) The upper end of a wire of radius 4 mm and length 100 cm is clamped and its other end is twisted through and angle of 30°. Then angle of shear is Show Answer

Q142) The isothermal bulk modulus of a gas at atmospheric pressure is Show Answer

Q143) There are two wires of same material and same length while the diameter of second wire is 2 times the diameter of first wire, then ratio of extension produced in the wires by applying same load will be Show Answer

Q144) A copper rod of length L and radius ris suspended from the ceiling by one of its ends. What will be elongation of the rod due to its own weight when ρand Y are the density and Young’s modulus of the copper respectively? Show Answer

Q145) An iron bar of length L, cross-section A and Young’s modulus Y is pulled by a force F from both ends so as to produce an elongation l. Which of the following statement is correct? Show Answer

Q146) When a weight w is hung from one and of the wire other end being fixed, the elongation produced in it be l. If this wire goes over a pulley and two weights w each are hung at the two ends, the elongation of the wire will be Show Answer

Q147) A spring is extended by 30 mm when a force of 1.5 N is applied to it. Calculate the energy stored in the spring when hanging vertically supporting a mass of 0.20 kg if the spring was instructed before applying the mass. Show Answer

Q148) A and B are two wires. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is Show Answer

Q149) If longitudinal strain for a wire is 0.03 and its Poisson’s ratio is 0.5, then its lateral strain is Show Answer

Q150) Under elastic limit the stress is Show Answer

Q151) A cube of side 40 mm has its upper face displaced by 0.1 mm by a tangential force of 8 kN. The shearing modulus of cube is Show Answer

Q152) Which is the most elastic Show Answer

Q153) A solid sphere of radius R made up of a material of bulk modulus K is surrounded by a liquid in a cylindrical container. A massless piston of area A floats on the surface of the liquid. When a mass M is placed on the piston to compress the liquid, the fractional change in the radius of the sphere is Show Answer

Q154) A steel ring of radius r and cross-section area 'A' is fitted on to a wooden disc of radius R(R>r). If Young’s modulus be E, then the force with which the steel ring is expanded is Show Answer

Q155) If the compressibility of water is σ per unit atmospheric pressure, then the decrease in volume (V) due to atmospheric pressure p will be Show Answer

Q156) Identify the incorrect statement Show Answer

Q157) A wire of length L and radius r is clamped rigidly at one end. When the other end of the wire is pulled by a force f, its length increases by l. Another wire of same material of length 2L and radius 2r is pulled by a force 2 f. Then the increase in its length will be Show Answer

Q158) Young's moduli of the material of wires A and B are in the ratio of 1: 4, while its area of cross-sections are in the ratio of 1: 3. If the same amount of load is applied to both the wires, the amount of elongation produced in the wires A and B will be in the ratio of (Assume length of wires A and B are same) Show Answer

Q159) Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A): Steel is used in the construction of buildings and bridges.
Reason (R): Steel is more elastic and its elastic limit is high.
In the light of above statements, choose the most appropriate answer from the options given below. Show Answer

Q160) A force is applied to a steel wire A, rigidly clamped at one end. As a result, elongation in the wire is 0.2 mm. If same force is applied to another steel wire B of double the length and a diameter 2.4 times that of the wire A, the elongation in the wire B will be (wires having uniform circular cross-sections) Show Answer

Q161) If the length of a wire is made double and radius is halved of its respective values, then the Young's modulus of the material of the wire will Show Answer

Q162) Young's moduli of two wires A and B are in the ratio 7:4. Wire A is 2 m long and has radius R. Wire B is 1.5 m long and has radius 2 mm. If the two wires stretch by the same length for a given load, then the value of R is close to Show Answer

Q163) A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains same, the stress in the leg will change by a factor of Show Answer

Q164) A thin 1 m long rod has a radius of 5 mm. A force of 50 лkN is applied at one end to determine its Young's modulus. Assume that the force is exactly known. If the least count in the measurement of all -lengths is 0.01 mm, which of the following statements is false? Show Answer

Q165) A uniform cylindrical rod of length L and radius r, is made from a material whose Young's modulus of Elasticity equals Y. When this rod is heated by temperature T and simultaneously subjected to a net longitudinal compressional force F, its length remains unchanged. The coefficient of volume expansion, of the material of the rod, is (nearly) equal to: Show Answer

Q166) A steel wire can sustain 100 kg weight without breaking. If the wire is cut into two equal parts, then each part can sustain a weight of Show Answer

Q167) A wire elongates by l mm when a load w is hanged from it. If the wire goes over a pulley and two weights w each are hung at the two ends, the elongation of the wire will be (in mm) Show Answer

Q168) A uniform metallic wire is elongated by 0.04 m when subjected to a linear force F. The elongation, if its length and diameter is doubled and subjected to the same force will be .... cm. Show Answer

Q169) Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is 1: 4, the ratio of their diameters is Show Answer

Q170) The elastic limit of brass is 379 MPa. What should the minimum diameter of a brass rod, if it is to support a 400 N load without exceeding its elastic limit? Show Answer

Q171) In materials like aluminium and copper, the correct order of magnitude of various elastic moduli is: Show Answer

Q172) If S is stress and Y is Young's modulus of material of a wire, the energy stored in the wire per unit volume is Show Answer