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                                    (b) 1 : 4

(c) 2 : 1                                    (d) 1 : 1

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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                           (d) 500 joule

Concept Questions :-

Stress-strain
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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) Kl

(c) Kl2/2                                 (d) Kl2

Concept Questions :-

Stress-strain
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When strain is produced in a body within elastic limit, its internal energy

(a) Remains constant                   (b) Decreases

(c) Increases                               (d) None of the above

Concept Questions :-

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

1. Converts into kinetic energy

2. Converts into heat energy

3. Remains as potential energy

4. None of the above

Concept Questions :-

Please attempt this question first.

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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                                (d) 1.00 J

Concept Questions :-

Stress-strain
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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                                   (b) 2 : 3

(c) 3 : 4                                    (d) 4 : 3

Concept Questions :-

Stress-strain
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The stress versus strain graphs for wires of two materials A and B are as shown in the figure. If YA and YB are the Young ‘s modulii of the materials, then

(a) YB=2YA

(b) YA=YB

(c) YB=3YA

(d) YA=3YB

 

Concept Questions :-

Stress-strain curve
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The Young's modulus of a wire is Y.  If the energy per unit volume is E, then the strain will be

(a) 2EY                                         (b) 2EY

(c) EY                                              (d) EY

Concept Questions :-

Stress-strain
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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) T22x                                      (b) T22k

(c) 2xT2                                      (d) 2T2k

Concept Questions :-

Stress-strain
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