A wire of lenth L suppleid heat to raise its temperature by T.if y is the coefficient of volume expansion of the wire and Young`s modulus of the wire then the energy density stored in the wire is.

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Solution

$u = \frac{1}{2} Y * {s t r a i n}^{2}$
$△ T = T$
$Y_{1} = \frac{△ V}{V △ T} = \frac{△ V}{V T}$
$s t r a i n = \frac{△ V}{V} = Y_{1} T$
$u = \frac{{Y_{1}}^{2} T^{2} Y^{- 1}}{2}$

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A wire of lenth L suppleid heat to raise its temperature by T.if y is the coefficient of volume expansion of the wire and Young`s modulus of the wire then the energy density stored in the wire is.

u=12Y∗strain2△T=TY1=△VV△T=△VVTstrain=△VV=Y1Tu=Y12T2Y−12

$u = \frac{1}{2} Y * {s t r a i n}^{2}$
$△ T = T$
$Y_{1} = \frac{△ V}{V △ T} = \frac{△ V}{V T}$
$s t r a i n = \frac{△ V}{V} = Y_{1} T$
$u = \frac{{Y_{1}}^{2} T^{2} Y^{- 1}}{2}$