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The radii and Young's moduli of two unif...

The radii and Young's moduli of two uniform wires A and B are in the ratio `2:1` and `1:2` respectively. Both wires are subjected to the same longitudinal force. If the increase in leangth of the wire A is one percent, the percentage increae in length of the wire B is

A

`1`

B

`1:5`

C

`2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
C
`(Delta l)/(l) = (F)/(AY) , S_(t_(B))/(S_(t A)) = (r_(A)^(2))/(r_(B)^(2)) (Y_(A))/(Y_(B))`
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