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Two wires of copper having the length in...

Two wires of copper having the length in the ratio `4 : 1` and their radii ratio as `1 : 4` are stretched by the same force. The ratio of longitudinal strain in the two will be

A

`1:16`

B

`16:1`

C

`1:64`

D

`64:1`

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Strain `prop` stress `prop (F)/(A)`
Ratio of strain `=(A_(2))/(A_(1))=((r_(2))/(r_(1)))^(2)=((4)/(1))^(2)=(16)/(1)`
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