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JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
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 \(1 : 8\)
Answer & Solution
Correct Answer
(B) \(1:4\)
Step-by-step Solution
Detailed explanation
When there is no charge in liquid level in vessel then \(\gamma {'_{real}} = y{'_{vessel}}\) Change in volume in liquid relative to vessel \(\Delta {V_{app}} = V\gamma {'_{app}}\Delta \theta = V\left( {\gamma {'_{real}} - \gamma {'_{vessel}}} \right)\)
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