# A piece of metal floats on mercury .the coefficient of expansion of metal and mercury are #gamma_1# and #gamma_2# ,respectively .if the temperature of both metal and mercury increased by an amount #Delta T# . See description ?

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by what factor does the fraction of the volume of the metal submerged in mercury changes .

by what factor does the fraction of the volume of the metal submerged in mercury changes .

##### 1 Answer

This is what I get.

#### Explanation:

Let density of metal and mercury be

Fraction of volume of metal submerged initially

We know that Volume of metal will change after increase of temperature

Similarly Volume of mercury will change after increase of temperature

(It is assumed that

Density of metal after increase of temperature

Density of mercury after increase of temperature

Fraction of volume of metal submerged after increase of temperature

Change in fraction of volume of metal submerged

Factor of the fraction of the volume of the metal submerged in mercury changed after increase of volume