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