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

A piece of metal floats on mercury. The coefficient of volume expansion of metal and mercury are `gamma_1 and gamma_2`, respectively. if the temperature of both mercury and metal are increased by an amount `Delta T`, by what factor does the fraction of the volume of the metal submerged in mercury changes ?

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

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

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

None of these

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