A non-isotropic solid metal cube has coefficients of linear expansion as: along the x-axis and along the y and the z-axis. If the coefficient of volume expansion of the solid is then the value of C is......... izdkj x- rFkk izlkj xq.kkad gks] rks C

JEE MainPhysicsModerateThermal properties of matter

A non-isotropic solid metal cube has coefficients of linear
expansion as: $5 \times \ 10^{–5}\ /{^\circ}C$ along the x-axis and
$5 \times 10^{–6}\ /{^\circ}C$ along the y and the z-axis. If the
coefficient of volume expansion of the solid is
$C \times 10^{–5}\ /{^\circ}C$ then the value of C is.........
izdkj $5 \times \ 10^{–5}\ /{^\circ}C$ x- rFkk
izlkj xq.kkad $C \times 10^{–5}\ /{^\circ}C$ gks] rks C

Show answer and solution

V = 2\alpha_{2} + \alpha_{1}

= 10 \times 10^{- 6} + 5 \times 10^{- 5}

= 60 \times 10^{- 6}/\ ^{\circ}C

Source: Grass-G / Ph-27 Physics paper 2 15 Jan.docx

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