A long vessel having coefficient of linear expansion ‘α’ contains a liquid up to certain height. On heating , it is found that the height of liquid column remains constant at all temperature. Volume coefficient of Expansion of liquid is
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a
3 α
b
2 α
c
α
d
6 α
answer is B.
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Detailed Solution
Volume of liquid V=AI Increase in volume ΔV=(ΔA)l ( ∴ I is constant) ⇒Vγ1ΔT=(2α)A.l.ΔT⇒Vγ1ΔT=2αV.ΔT(∵V=Al)⇒γ1=2α