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 -

The correct option is C 475× 10^ 7/^∘ C We know, Cubical coefficient of expansion = nbsp;Linear nbsp;coefficient of expansion in x axis +Linear ...

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Standard XII

Physics

Area and Volume Expansion

A crystal has...

Question

A crystal has a coefficient of expansion $13 \times 10^{- 7} /^{\circ} C$ in one direction and $231 \times 10^{- 7} /^{\circ} C$ in every direction at right angles to it. Then the cubical coefficient of expansion is :

257 \times 10^{- 7} /^{\circ} C

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462 \times 10^{- 7} /^{\circ} C

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244 \times 10^{- 7} /^{\circ} C

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475 \times 10^{- 7} /^{\circ} C

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Solution

The correct option is C $475 \times 10^{- 7} /^{\circ} C$
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,
$γ = (13 + 231 + 231) \times 10^{- 7}$
$γ = 475 \times 10^{- 7} /^{\circ}$ C

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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 :

The correct option is C 475×10−7/∘CWe 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 axisPutting these values we get,γ=(13+231+231)×10−7 γ=475×10−7/∘C

A crystal has a coefficient of expansion $13 \times 10^{- 7} /^{\circ} C$ in one direction and $231 \times 10^{- 7} /^{\circ} C$ in every direction at right angles to it. Then the cubical coefficient of expansion is :