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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When a force is applied on a wire of uniform cross-sectional area 3×10-6m2 and length 4m, the increase in length is 1 mm. Energy stored in it will be Y=2×1011N/m2

1. 6250 J                               2. 0.177 J

3. 0.075 J                              4. 0.150 J

Concept Questions :-

Stress-strain
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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) YxA2L                             (b) Yx2AL

(c) Yx2A2L                           (d) 2Yx2AL

Concept Questions :-

Please attempt this question first.

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A stretched rubber has

(a) Increased kinetic energy

(b) Increased potential energy

(c) Decreased kinetic energy

(d) Decreased potential energy

Concept Questions :-

Please attempt this question first.

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When load of 5kg is hung on a wire then extension of 3m takes place, then work done will be

(a) 75 joule                             (b) 60 joule

(c) 50 joule                             (d) 100 joule

Concept Questions :-

Stress-strain
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The work per unit volume to stretch the length by 1% of a wire with constant cross sectional area   will be. Y=9×1011N/m2

(a) 9×1011 J                          (b) 4.5×107J

(c) 9×107J                            (d) 4.5×1011 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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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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