A piece of metal floats on mercury. The coefficient of volume expansion of the metal and mercury are γ 1 & γ 2 respectively. If the temperatures of both mercury and the metal are increased by an amount 
T, the fraction of the volume of the metal submerged in mercury changes by the factor of. (Ratio of final fraction to the initial fraction)
T
Text Solution
Verified by ExpertsA
For floating condition
mg = B
v d 0 g = v in d L g
where d 0 = density of object
d L = density of liquid
fraction of volume submerged in liquid (f 1 ) = 
f 1 = 
after increasing temp, by ΔΤ
d 0 ' = 
d L ' = 
f 1 ' = 
= 
∴ 
= 
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