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The remaining volume of a glass vessel is constant at all temperatures if 1/x of its volume is filled with mercury. The coefficient of volume expansion of mercury is 7 times that of glass. The value of x should be

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detailed solution

Correct option is B

Let temperature is increased by ΔT.Vg-VHg=V-Vx at all temperatureV1+γg∆T-Vx1+γHg∆T=V-Vx ⇒ γg=γHgx ⇒ γg=7γgx ⇒x=7.

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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