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 ?
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