Two wires of same diameter of same material having length l and 2l. If force F is applied on

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8.Mechanical Properties of Solids

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Two wires of same diameter of the same material having the length $l$ and $2l.$ If the force $ F$ is applied on each, the ratio of the work done in the two wires will be

A

$1:2$

B

$1:4$

C

$2:1$

D

$1:1$

Solution

(a)$W = \frac{1}{2}Fl$ $\therefore$ $W \propto l$ $(F$ is constant$)$

$\frac{{{W_1}}}{{{W_2}}} = \frac{{{l_1}}}{{{l_2}}} = \frac{l}{{2l}} = \frac{1}{2}$

Standard 11

Physics

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