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Q.

Two bars A and B of circular cross section and of same volume made of same material are subjected to tension. If the diameter of B is half that of A 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 ...

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a

8

b

16

c

4

d

7

answer is B.

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Detailed Solution

vA=vBπrA2ℓA=πrB2ℓBℓAℓB=(rBrA)2----(1)e=FLπr2y⇒e∝Lr2                                                                             eAeB=LALB×(rBrA)2----(2)   from (1) and (2) eAeB=(rBrA)4==(12)4=116 , eB=16 eA
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