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The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1: 4. What fraction of the inner volume of the container should the liquid occupy so that the volume of the remaining vacant space will be same at all temperatures?

a
2:5
b
1:4
c
1:64
d
1:8

detailed solution

Correct option is B

Volume expansion of glass:ΔV=VgγgΔTVolume expansion of liquid:ΔV=VlγlΔTEquating both,VlVg=γgγl=14

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