The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and when heated in a silver vessel, it is S. If A is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is

Question

Infinity Learn · Accepted Answer

γ$$r=$$γ$$a+$$γv, where γ$$r=$$ coefficient of real expansion,γα $$=$$ coefficient of apparent expansionand γv $$=$$ coefficient of expansion of vessel.For copper, γr $$=$$ C $$+$$ $$3$$α$$Cu=$$ C $$+$$ $$3AFor$$ silver,    γr $$=$$ S $$+$$ $$3$$αAg⇒         C $$+$$ $$3A$$ $$=$$ S $$+$$ $$3$$αAg⇒           αAg $$=$$ C $$-$$ S $$+$$ $$3A3$$

	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

The apparent coefficient of expansion of a liquid when heated in a copper vessel is C and when heated in a silver vessel, it is S. If A is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is

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