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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 A is half that of B 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

4

b

16

c

2

d

8

answer is A.

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Detailed Solution

Y=FLAe=FLAAeA=FVA2e  [same volume]

e1A2e1r4 eAeB=rBrA4 eAeB=2rArA4=16

 

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