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A solid cube with coefficient of linear expansion o floats in a liquid whose coefficient of volume expansion is $γ$ . When both the solid and liquid are heated, then the solid does not sink or lift when

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γ>3α

γ>3/α

γ=3α

γ=α/3

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detailed solution

Correct option is C

We have shown above that f=ρsρlOn heating f′=ρs′ρl′=ρs(1+3αΔT)×(1+γΔT)ρl =f(1+γΔT)(1+3αΔT)

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Similar Questions

A vessel having coefficient of cubical expansion $γ_{g}$ contains liquid Of coefficient of real expansion r_R up to certain level. When Vessel
Is heated, match column I and column II.

	Column - I		Column - II
a	$γ_{g} < γ_{R}$	p	liquid level rises continuously from beginning
b	$γ_{g} = γ_{R}$	q	liquid level falls continuously from beginning
c	$γ_{g} > γ_{R}$	r	liquid level remains same
d	$γ_{g} = 0$	s	liquid level first falls and then rises