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If rho is the density of the material of...

If `rho` is the density of the material of a wire and `sigma` the breaking stress. The greatest length of the wire that can hang freely without breaking is

A

`(2sigma)/(rhog)`

B

`(rho)/(sigmag)`

C

`(rhog)/(2sigma)`

D

`(sigma)/(rhog)`

Text Solution

Verified by Experts

The correct Answer is:
D
Maximum stress on the wire will be at highest point (at the point of suspension)
`thereforestress=("weight")/(A)=(Alrhog)/(A)=sigma`
`thereforel=(sigma)/(rhog)`
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