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The coefficient of linear expansion of crystal in one direction is `alpha_(1)` and that in every direction perpendicular to it is `alpha_(2)`. The coefficient of cubical expansion isA. `alpha_1+alpha_2`B. `2alpha_1+alpha_2`C. `alpha_1+2alpha_2`D. none of these |
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Answer» Correct Answer - C `V=V_0(1+gammaDeltatheta)` or `L^3=L_0(1+alpha_1Deltatheta)L_0^2(1+alpha_2Deltatheta)^2` `impliesL^3=L_0^3(1+alpha_1Deltatheta)(1+alpha_2Deltatheta)^2` since `L_0^3=V_0`, hence `1+gammaDeltatheta=(1+alpha_1Deltatheta)(1+alpha_2Deltatheta)^2` `cong(1+alpha_1Deltatheta)(1+2alpha_2Deltatheta)` `cong 1+alpha_1Deltatheta+2alpha_2Deltatheta` `:. gamma_(1) + 2 alpha_(2)`. |
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