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A string of length L and radius r elonga...

A string of length L and radius r elongated by x due to its own weight, when suspended from the ceiling from its one end. If another string of same material, same length and radius double the initial is suspended from its one end then elongation due to its own weight will be

A

4x

B

`x/2`

C

`2x`

D

`x`

Text Solution

Verified by Experts

The correct Answer is:
D
`x=(mgl)/(2AY)=( rho Al gl)/(2 Ay)`
`x=(rho gl^(2))/(2y)`
x
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