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

Options

A. `1:16`
B. `16:1`
C. `1:64`
D. `64:1`

Answer

B

Explanation

(b) Strain `prop` stress `prop (F)/(A)`
Ratio of strain `=(A_(2))/(A_(1))=((r_(2))/(r_(1)))^(2)=((4)/(1))^(2)=(16)/(1)`