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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 

a
3 α
b
2 α
c
α
d
6 α

detailed solution

Correct option is B

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

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Similar Questions

A vessel having coefficient of cubical expansion γg contains liquid Of coefficient of real expansion rR up to certain level. When Vessel
Is heated, match column I and column II.
 

 Column - I Column - II
aγg<γRpliquid level rises continuously from beginning
bγg=γRqliquid level falls continuously from beginning
cγg>γRrliquid level remains same 
dγg=0sliquid level first falls and then rises 
 
 abcd
1srqp
2srpq
3qrsp
4rqps


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