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10-1.Thermometry, Thermal Expansion and Calorimetry
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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
$1 : 8$
(JEE MAIN-2013)
Solution
When there is no charge in liquid level in vessel then $\gamma {'_{real}} = y{'_{vessel}}$
Change in volume in liquid relative to vessel
$\Delta {V_{app}} = V\gamma {'_{app}}\Delta \theta = V\left( {\gamma {'_{real}} – \gamma {'_{vessel}}} \right)$
Standard 11
Physics
