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

C

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

D

None of these

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The correct Answer is:
A
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