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Two wires A and B have same lengths and ...

Two wires `A` and `B` have same lengths and made of the same material but `A` is thicker than `B`. Both are subjected to the same extending load. Which will extend more?

A

`A`

B

`B`

C

Same extension

D

cant perdict

Text Solution

Verified by Experts

The correct Answer is:
B
As, Young's modulus,
`Y=(F.l)/(Adeltal)impliesDeltal=(F.l)/(YA)`, `Deltal alpha(1)/(A)`
`:. (Deltal_(A))/(Deltal_(B))=(A_(B))/(A_(A))`
As, `A_(A)gtA_(B)`
`:. Deltal_(B)gtDeltal_(A)`
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