The coefficient of linear expansion of a crys | vedclass

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(C) The coefficient of cubical expansion $\gamma$ is the sum of the coefficients of linear expansion along three mutually perpendicular directions.Giv

Vedclass · Accepted Answer

$8$

Vedclass · Answer

(C) The coefficient of cubical expansion $\gamma$ is the sum of the coefficients of linear expansion along three mutually perpendicular directions.Given:$\alpha_1 = 2 	imes 10^{-4} /{ }^{\circ} C$$\alpha_2 = 3 	imes 10^{-4} /{ }^{\circ} C$$\alpha_3 = 3 	imes 10^{-4} /{ }^{\circ} C$Since the substance is crystalline,the expansion in directions perpendicular to the first direction is uniform.$\gamma = \alpha_1 + \alpha_2 + \alpha_3$$\gamma = (2 + 3 + 3) 	imes 10^{-4} /{ }^{\circ} C$$\gamma = 8 	imes 10^{-4} /{ }^{\circ} C$Therefore,the coefficient of cubical expansion is $8 	imes 10^{-4} /{ }^{\circ} C$.

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