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A wire of length L and density rho and Y...

A wire of length L and density `rho` and Young's modulus Y is hanging from a support. Find the elongation in the length of wire at which wire will break:

A

`(L^(2)rhog)/(Y)`

B

`(L^(2)rhog)/(2Y)`

C

`(2L^(2)rhog)/(Y)`

D

`(L^(2)rhog)/(4Y)`

Text Solution

Verified by Experts

The correct Answer is:
A
`Y=("Stress")/("Strain")=(sigmal)/(Deltal)`
`Deltal(sigmaL)/(Y)=(ALrhog)/(A)*(L)/(Y)=(L^(2)rhog)/(Y)`
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