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A crystal has a coefficient of linear expansion 13 x 10-7/oC in a direction and 23.1 x 10-7/oC every direction at right angles to it. If the volume of the crystal is 10-6m3 , find the change in its volume if its temperature is increased by 100oC

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Detailed Solution

Coefficient of volume expansion γ=α1+2α2=(13 x 10-7 +2 x 23.1 x 10-7)/oC =59.2 x 10-7/C 0∴∆V=V0.γ.∆t=10-6 x 59.2 x 10-7 x 102 m3=5.92 x 10-10 m3⇒∆V=5.92 x 10-4 mm3

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