A non-isotropic solid metal cube has coefficients of linear expansion… | JEE Main 2020 (7 Jan, Shift 1)

Q54JEE Main 2020 · 7 JAN · SHIFT 1Easy

Thermometry & Thermal Expansion

A non-isotropic solid metal cube has coefficients of linear expansion as:

5 $\times$ 10-5/oC along the x-axis and 5 $\times$ 10-6/oC along the y and the z-axis. If the coefficient of volume expansion of the solid is C $\times$ 10-6/oC then the value of C is

Numerical answer type. Work it out, then open the answer.

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Answer: 60

For a cube, $\gamma=\alpha_x+\alpha_y+\alpha_z$ .
$\gamma=50\times10^{-6}+5\times10^{-6}+5\times10^{-6}=60\times10^{-6}/^\circ$ C
So $C=60$ .

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