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A wire of length L0 is supplied heat to raise its temperature by T. if g is the coefficient of volume expansion of the wire and Y is Young’s modulus of the wire then the energy density stored in the wire is

a
12γ2T2Y
b
13γ2T2Y3
c
118γ2T2Y
d
118γ2T2Y

detailed solution

Correct option is D

Elastic potential energy per unit volume E=12× Stress × Strain =12×Y×( Strain )2⇒E=12×Y×ΔLL2=12×Y×a2×ΔT2

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