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:

Options

A. `(L^2rhog)/(Y)`
B. `(L^2rhog)/(2Y)`
C. `(2L^2rhog)/(Y)`
D. `(L^2rhog)/(4Y)`

Answer

A

Explanation

`Y=(stress)/("strain")=(sigmal)/(trianglel)`
`trianglel(sigmaL)/(Y)=(ALrhog)/(A)(L)/(Y)=(L^2rhog)/(Y)`