The work done to stretch a wire through `1xx10^(-3)m` is 2J. Then the work done to stretch another wire of same material having half length and double the area of the cross section by `1xx10^(-3)m` is,

Options

A. `1//4` J
B. 4 J
C. 8 J
D. 16 J

Answer

C

Explanation

`(W_(2))/(W_(1))=(F_(2)l_(2))/(F_(1)l_(1))=(2xx2)/(1xx1)`
`therefore W_(2)=W_(1) xx 4=4xx2=8J`.