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  • The ratio of the coefficient of volume expansion of a glass container to that of viscous liquid kept inside the container is 1:4. What fraction of the inner volume of the container should the liqui

The ratio of the coefficient of volume expansion of a glass container to that of 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 the same at all temperatures?

Option: 1

2:5


Option: 2

1:4


Option: 3

1:64


Option: 4

1:8


Answers (1)

best_answer

If there is no change in liquid level in vessel then,

\gamma_{real}=\gamma _{vessel}

So Change in volume in liquid relative to vessel

\Delta {{V}_{app}}=V\gamma {_{app}}\Delta \theta =V(\gamma {_{real}}-\gamma {_{vessel}})

Hence, the fraction is 1:4  

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