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A thick rope of density rho and length L...

A thick rope of density `rho` and length `L` is hung from a rigid support. The increase in length of the rope due to its own weight is (`Y` is the Young's modulus)

A

`(rho gL^(2))/(4Y)`

B

`(rho gL^(2))/(2Y)`

C

`(rho gL^(2))/(3Y)`

D

`(rho gL^(2))/(Y)`

Text Solution

Verified by Experts

The correct Answer is:
B
`Y=(mgL)/(Al_(1)) " " therefore l_(1)=(mgL)/(AY)=(rho g L^(2))/(2Y)`
`therefore m = rho v`
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