A rubber cord of length \( L \) is suspended vertically. Density of rubber is \( D \) and Youngs...

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A rubber cord of length \( L \) is suspended vertically. Density of rubber is \( D \) and Youngs modulus is \( Y \). If the cord extends by a length 1 under its own weight then
(a) \( l=\frac{L^{2} D g}{Y} \)
(b) \( l=\frac{L^{2} D g}{2 Y} \)
(c) \( l=\frac{L^{2} D g}{4 Y} \)
(d) \( l=\frac{L^{2} D g}{8 Y} \)
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