Question
A wire of length L0 is supplied heat to to raise its temperature by T. If γ is the coefficient of volume ex the wire and Y is the young's modulus of the wire then the energy density stored in the wire is
Answer: Option D
:
D
Due to heating the length of the wire increases. ∴Longitudinal strain is produced ⇒ΔLL=a×ΔT
Elastic potential energy per unit volume E=12×Stress×Strain=12×Y×(Strain)2
⇒E=12×Y×(ΔLL)2=12×Y×a2×ΔT2orE=12×Y×(γ3)2×T2=118γ2YT2[Asγ=3aandΔT=T(given)]
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:
D
Due to heating the length of the wire increases. ∴Longitudinal strain is produced ⇒ΔLL=a×ΔT
Elastic potential energy per unit volume E=12×Stress×Strain=12×Y×(Strain)2
⇒E=12×Y×(ΔLL)2=12×Y×a2×ΔT2orE=12×Y×(γ3)2×T2=118γ2YT2[Asγ=3aandΔT=T(given)]
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