Thermal Properties of Matter

JEE Main level, single correct, medium

46 of 126

Question 46 of 126

The ratio of the coefficient of volume expansion of a glass container to that of a viscous liquid kept inside the container is 1:41: 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 ?

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Answer: (B) 1:41: 4

When there is no change in liquid level in vessel then γreal ′=γ′\gamma_{\text {real }}^{\prime}=\gamma^{\prime} vessel Change in volume in liquid relative to vessel
ΔVapp=Vγapp ′Δθ=V(γreal ′−γvessel ′)\Delta \mathrm{V}_{\mathrm{app}}=\mathrm{V} \gamma_{\text {app }}^{\prime} \Delta \theta=\mathrm{V}\left(\gamma_{\text {real }}^{\prime}-\gamma_{\text {vessel }}^{\prime}\right)

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