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Question

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A piece of metal floats on mercury. The coefficient of volume expansion of the metal and mercury are y1 and y2, respectively. If the temperature of both mercury and the metal is increased by an amount ΔT, the fraction of the volume of the metal submerged in mercury changes by the factor ______ .(This problem is mixed concept of heat and fluid mechanics)

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Solution

Initial fraction of metal submerged=d1d2
Final=d1d2=mv×(1+y1T)×v×(1+y2T)m
=(1+y2T)(1+y1T)


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