Physics - Elasticity Question with Solution | TestHub

A wire of cross sectional area A, modulus of elasticity $2\times 10^{11}{\mathrm{Nm}}^{-2}$ and length $2\mathrm{m}$ is stretched between two vertical rigid supports. When a mass of $2\mathrm{kg}$ is suspended at the middle it sags lower from its original position making angle $\theta =\frac{1}{100}$ radian on the points of support. The value of $\mathrm{A}$ is _______ $\times 10^{-4}{\mathrm{m}}^2$ (consider $x<<\mathrm{L}$ ). (given : $\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2$ )