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CGP EDU Academic Team
Published on: September 11, 2026
An Indian rubber cord L meter long and area of cross-section A $metre^{2}$ is suspended vertically. Density of rubber is D $kg/metre^{3}$ and Young's modulus of rubber is E $newton/metre^{2}$ . If the wire extends by l meter under its own weight, then extension l is
Text Solution
Verified by ExpertsThe correct answer is:
B
Elongation in a card by its own weight, which act at the center of gravity of the card.
Force $\mathbf{F} = mg = VDg = ALDg$
$Elongation of length, l = \frac{FL/2}{YA} \\ \frac{L^{2}Dg}{2EA} = \frac{L^{2}Dg}{2E}$
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