# The increase in energy of a metal bar of length ‘L’ and cross-sectional area ‘A’ when compressed with a load ‘M’ along its length is

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The increase in energy of a metal bar of length ‘L’ and cross-sectional area ‘A’ when compressed with a load ‘M’ along its length is (Y = Young’s modulus of the material of metal bar)

(A) $\frac{FL}{2AY}$

(B) $\frac{F^2L}{2AY}$

(C) $\frac{FL}{AY}$

(D) $\frac{F^2L^2}{2AY}$

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(B) $\frac{F^2 L}{2AY}$

U = $\frac{1}{2}$ × F × l

$\frac{1}{2}$ × F × $\frac{FL}{AY}=\frac{F^2 L}{2AY}$