The Young's modulus of a rubber string $8\, cm$ long and density $1.5\,kg/{m^3}$ is $5 \times {10^8}\,N/{m^2}$, is suspended on the ceiling in a room. The increase in length due to its own weight will be
AIIMS 1986, Medium
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(b)$l = \frac{{{L^2}dg}}{{2Y}} = \frac{{{{(8 \times {{10}^{ - 2}})}^2} \times 1.5 \times 9.8}}{{2 \times 5 \times {{10}^8}}}$
$ = 9.6 \times {10^{ - 11}}m$
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