The Young’s modulus of a rubber string $8\ cm$ long and density $1.5\ kg/m^{3}$ is $5 imes 10^{8}\ N/m^{2}$, is suspended on the ceiling in a room. The increase in length due to its own weight will be

Question

The Young’s modulus of a rubber string $8\ cm$ long and density $1.5\ kg/m^{3}$ is $5 	imes 10^{8}\ N/m^{2}$, is suspended on the ceiling in a room. The increase in length due to its own weight will be

Dr. Abubacker · Accepted Answer

(b) $l = \frac{L^{2}dg}{2Y} = \frac{\left( 8 	imes 10^{- 2} ight)^{2} 	imes 1.5 	imes 9.8}{2 	imes 5 	imes 10^{8}} = 9.6 	imes 10^{- 11}m$

Q. 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

Explanation

Reviewed by Dr. Abubacker

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