A cube at temperature 0°C is compressed equally from all sides by an external pressure P. By what amount should its temperature be raised to bring it back to the size it had before the external pressure was applied? Bulk modulus of material of cube is K and the coefficient of linear expansion is α.
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a
3KP
b
P3Kα
c
3παK
d
PKα
answer is B.
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Detailed Solution
K=P-∆VV=PV(-∆V) and (-∆V)=γV∆T=3α VT K=PV3α VT⇒T=P3αK