QJEEM24Ph23e7: JEE Main 2024 Physics - Class 11 JEEM24Ph23e7 Solution: A wire of cross sectional area A, modulus of elasticity 2 × 10…

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 A is ________ $$\times {10}^{-4}{\mathrm{m}}^2$$ (consider $$x<<\mathrm{L}$$ ).

(given : $$\mathrm{g}=10\mathrm{m}/{\mathrm{s}}^2$$)