An Indian rubber cord $L$ metre long and area of cross-section $A$ $metr{e^2}$ is suspended vertically. Density of rubber is $D$ $kg/metr{e^3}$ and Young's modulus of rubber is $E$ $newton/metr{e^2}$. If the wire extends by $l$ metre under its own weight, then extension $l$ is
Diffcult
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(b) $F=m g=(A L D) g$
stress $=\frac{F}{A}=L D g$
strain $=\frac{l}{L / 2}$
Stress $=E \times$ strain
$L D g=E \times \frac{l}{L / 2}$
$l=\frac{L^{2} D g}{2 E}$
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