A horizontal uniform tube, open at both ends, is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If α is the coefficient of linear expansion of the material of the tube and γ is the coefficient of volume expansion of the liquid, then [EAMCET $$2013$$]

Question

A horizontal uniform tube, open at both ends, is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If α is the coefficient of linear expansion of the material of the tube and γ is the coefficient of volume expansion of the liquid, then [EAMCET $$2013$$]

Infinity Learn · Accepted Answer

Coefficient of superficial expansion of the material of the tube $$=2$$αExpansion of volume of the liquid $$=A($$γ$$L)$$△t and expansion of volume of tube $$=$$ $$A2$$αL.△tAγL.△t $$=$$ $$A2$$αL.△t ⇒γ$$=2$$αTherefore

	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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