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A piece of metal floats on mercury. The ...

A piece of metal floats on mercury. The coefficients of volume expansion of the metal and mercury are `gamma_1` and `gamma_2` respectively. If the temperatures of both mercury and the metal are increased by an amount `DeltaT`, the fraction of the volume of the metal submerged in mercury changes by the factor............

A

`((1+ gamma_(2)DeltaT)/(1+gamma_(1)Deltat))`

B

`((1+gamma_(2)Deltat)/(1-gamma_(1)DeltaT))`

C

`((1-gamma_(2)DeltaT)/(1+gamma_(1)DeltaT))`

D

`(gamma_(2))/(gamma_(1))`

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