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if rho is the density of the meterial of...

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

A

`(2 sigma)/(rho g )`

B

`(rho)/(sigma g)`

C

`(rho)/(rho g)`

D

`(rhog)/(2 sigma)`

Text Solution

Verified by Experts

The correct Answer is:
C
Breaking stress = mximum weight/area
` therefore sigma = (AL rho g)/(A) = L rho g " or " L= (sigma)/(rho g)`
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