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  4. The coefficient of linear expansion of a crystalline substance in one direction is 2 × 10-4 / ° C and in every direction perpendicular to it is 3 × 10-4 / ° C. The coefficient of cubical expansion of crystal is equal to

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Q. The coefficient of linear expansion of a crystalline substance in one direction is $2 \times 10^{-4 /{ }^{\circ} C} $ and in every direction perpendicular to it is $3 \times 10^{-4 /{ }^{\circ} C}$. The coefficient of cubical expansion of crystal is equal to

Thermal Properties of Matter

Solution:

$\alpha_{1}+\alpha_{2}+\alpha_{3}=\alpha$
$2 \times 10^{-4}+3 \times 10^{-4}+3 \times 10^{-4}=\alpha$
$\Rightarrow 8 \times 10^{-4} /{ }^{\circ} C =\alpha$