A $$non-conducting$$ body floats in a liquid at $$20oC$$ with $$23$$ of its volume immersed in the liquid. When liquid temperature is increased to $$100oC$$,$$34$$ of body's volume is immersed in the liquid. Then, the coefficient of real expansion of the liquid is (neglecting$$ the expansion of container of the $$liquid)

Question

A $$non-conducting$$ body floats in a liquid at $$20oC$$ with $$23$$ of its volume immersed in the liquid. When liquid temperature is increased to $$100oC$$,$$34$$ of body's volume is immersed in the liquid. Then, the coefficient of real expansion of the liquid is (neglecting$$ the expansion of container of the $$liquid)

Infinity Learn · Accepted Answer

Coefficient of real expansion,                     γ$$R=V2-V1V1T2-T1Here$$,            $$V2=34$$,$$V1=23and$$                (T2$$ $$-T1) $$=$$ (100$$ $$-$$ $$20) $$=$$ $$80$$∘C∴                            γ$$R=34-2323(80)=1640=15.6$$×$$10-4$$∘$$C-1$$

	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

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A non-conducting body floats in a liquid at 20oC with 23 of its volume immersed in the liquid. When liquid temperature is increased to 100oC,34 of body's volume is immersed in the liquid. Then, the coefficient of real expansion of the liquid is (neglecting the expansion of container of the liquid)

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