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Shilpa

HomeAuthor: ShilpaPage 13

22. A wire of length L and cross-sectional area A is made of a material of Young’s modulus Y. It is stretched by an amount x. The work done is

(a) (YxA)/(2L)                                     ...

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

21. When a 4 kg mass is hung vertically on a light spring that obeys Hooke’s law, the spring stretches...

18. On stretching a wire, the elastic energy stored per unit volume is

(a)  Fl/2AL                                     ...

17. 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)

(a)    T2/2x                                   ...

16.The length of a rod is 20 cm and area of cross-section

16.The length of a rod is 20 cm and area of cross-section 2 cm2 . The Young’s modulus of the...

15. The ratio of Young’s modulus of the material of two wires is 2 : 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be

(a)   3 : 2                                 ...

14. The Young’s modulus of a wire is Y. If the energy per unit volume is E, then the strain will be

(a)  √(2E)/Y                                     ...

13. In the above question, the ratio of the increase in energy of the wire to the decrease in gravitational potential energy when load moves downwards by 1 mm, will be

(a)   1                                     ...

12. A wire is suspended by one end. At the other end a weight equivalent to 20 N force is applied. If the increase in length is 1.0 mm, the increase in energy of the wire will be

(a)   0.01 J                                               (b)   0.02 J (c)   0.04 J                       ...

11. If one end of a wire is fixed with a rigid support and the other end is stretched by a force of 10 N, then the increase in length is 0.5 mm. The ratio of the energy of the wire and the work done in displacing it through 1.5 mm by the weight is

(a)  1/3                                     ...

10.A brass rod of cross-sectional area

10. A brass rod of cross-sectional area 1cm2  and length 0.2 m is compressed lengthwise by a weight of 5...

9. When shearing force is applied on a body, then the elastic potential energy is stored in it. On removing the force, this energy

(a)  Converts into kinetic energy (b)   Converts into heat energy (c)   Remains as potential energy (d)   None of the above...

8. When strain is produced in a body within elastic limit, its internal energy

(a)  Remains constant                        (b)   Decreases (c)   Increases                           ...

7. If the tension on a wire is removed at once, then

(a)  It will break (b)   Its temperature will reduce (c)   There will be no change in its temperature (d)   Its...

6. If the force constant of a wire is K, the work done in increasing the length of the wire by l is

(a)  Kl/2                                     (b) ...

5. 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

(a)  Zero                                                 (b)   0.05 joule (c)  100 joule                         ...

4. 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

(a)   1 : 2                                 ...

3. Calculate the work done, if a wire is loaded by ‘Mg’ weight and the increase in length is ‘l’

(a)  Mgl                                     ...

2. The work done in stretching an elastic wire per unit volume is or strain energy in a stretched string is

(a)  Stress × Strain                             (b)   (1/2)(Stress× Strain) (c)  2× Stress × Strain                 ...

1. If the potential energy of a spring is V on stretching it by 2 cm, then its potential energy when it is stretched by 10 cm will be

(a)  V/25                                                (b)   5V (c)   V/5                             ...

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

(a)   12°                                     ...

13. 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

(a)   Shape                                              (b)   Size (c)   None                           ...

12. The reason for the change in shape of a regular body is

(a)  Volume stress                               (b)   Shearing strain (c)   Longitudinal strain                   (d)   Metallic strain...

11. A cube of aluminium of sides 0.1 m is subjected to a shearing 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

(a)   0.02                                     ...

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

(a)   2.4                                     ...

9. Modulus of rigidity of a liquid

(a)   Non zero constant (b)   Infinite (c)   Zero (d)  Can not be predicted Answer-c (23)

8. If the Young’s modulus of the material is 3 times its modulus of rigidity, then its volume elasticity will be

(a)   Zero                                                 (b)   Infinity (c)  2×1010 N/m2                           ...

5.Two wires A and B of same length and of the same material have the respective radii and . Their one end is fixed with a rigid support, and at the other end equal twisting couple is applied. Then the ratio of the angle of twist at the end of A and the angle of twist at the end of B will be

(a) r1 2 /r2 2                                 ...

7. The Young’s modulus of the material of a wire is

The Young’s modulus of the material of a wire is 6×1012 N/m2 and  there is no transverse strain in it,...

6. When a spiral spring is stretched by suspending a load on it, the strain produced is called

(a)   Shearing                                         (b)   Longitudinal (c)   Volume                           ...

4. Which of the following relations is true

(a)  3Y=K(1-σ)                                   (b) K=(9ηY)/(Y+η)...

3. Which statement is true for a metal

(a)  Y< η                                   ...

2. The ratio of lengths of two rods A and B of same material is 1 : 2 and the ratio of their radii is 2 : 1, then the ratio of modulus of rigidity of A and B will be

(a)   4 : 1                                 ...

1. Modulus of rigidity of diamond is

(a)   Too less (b)   Greater than all matters (c)   Less than all matters (d)   Zero Answer-b (13)

19. The pressure applied from all directions on a cube is P. How much its temperature should be raised to maintain the original volume ? The volume elasticity of the cube is

19. The pressure applied from all directions on a cube is P. How much its temperature should be raised to...

21. For a constant hydraulic stress on an object, the fractional change in the object’s volume 

21. For a constant hydraulic stress on an object, the fractional change in the object’s volume  (ΔV/V)  and its bulk...

20. The pressure of a medium is changed from

20. The pressure of a medium is changed from 1.01 × 105 Pa to 1.165 × 105 Pa and change...

11. In the three states of matter, the elastic coefficient can be

(a)  Young’s modulus (b)   Coefficient of volume elasticity (c)   Modulus of rigidity (d)  Poisson’s ratio Answer-b (12)

18. The Bulk modulus for an incompressible liquid is

(a)   Zero                                                 (b)   Unity (c)   Infinity                             ...

17. The bulk modulus of an ideal gas at constant temperature

(a)  Is equal to its volume V     (b)   Is equal to p/2 (c)  Is equal to its pressure p  (d)  ...
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