A crystal has a coefficient of expansion 13×10−7/∘C in one direction and 231×10−7/∘C in every direction at right angles to it. Then the cubical coefficient of expansion is :
A
257×10−7/∘C
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B
462×10−7/∘C
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C
244×10−7/∘C
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D
475×10−7/∘C
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Solution
The correct option is C475×10−7/∘C We know, Cubical coefficient of expansion = Linear coefficient of expansion in x axis +Linear coefficient of expansion in y axis + Linear coefficient of expansion in z axis Putting these values we get, γ=(13+231+231)×10−7 γ=475×10−7/∘C