A glass flask of volume $$1$$ litre is fully filled with mercury at $$0$$°C. Both the flask and mercury are now heated to $$100$$°C. If the coefficient of volume expansion of mercury is $$1$$⋅$$82$$×$$10$$−$$4/$$∘C, volume coefficient of linear expansion of glass is $$10$$ x $$10-$$ $$6/$$°C, the amount of mercury which is spilled out is

Question

A glass flask of volume $$1$$ litre is fully filled with mercury at $$0$$°C. Both the flask and mercury are now heated to $$100$$°C. If the coefficient of volume expansion of mercury is $$1$$⋅$$82$$×$$10$$−$$4/$$∘C, volume coefficient of linear expansion of glass is $$10$$ x $$10-$$ $$6/$$°C, the amount of mercury which is spilled out is

Infinity Learn · Accepted Answer

Δ$$V=V0$$γm−γ$$g100=11$$⋅$$82$$×$$10$$−$$4$$−$$3$$×$$10$$×$$10$$−$$6100=1$$⋅$$82$$×$$10$$−$$4$$−$$0$$⋅$$3$$×$$10$$−$$4100=15$$⋅$$2ml$$

	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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