Thermal Properties of Matter

JEE Main level, numerical answer, medium

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Question 34 of 126

A bakelite beaker has volume capacity of 500cc500cc at 30∘C30^{\circ}C. When it is partially filled with Vm{V}_{m} volume (at 30∘C30^{\circ}C) of mercury, it is found that the unfilled volume of the beaker remains constant as temperature is varied. If γbester=6×10−60∘C−1,{\gamma }_{\text{bester}}=6\times {10}^{-6}0^{\circ}{C}^{-1}, where γ\gamma is the coefficient of volume expansion, then Vm{V}_{m} (in cccc ) is close to …\ldots

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Answer: 20

∆Vm=∆Vc∆Vm=∆Vc
Vmγm∆T=Vcγc∆TVm\gamma m∆T=Vc\gamma c∆T
Vm=Vcγcγm=500×6×10−61.5.×10−4=20ccVm=\dfrac{Vc\gamma c}{\gamma m}=\dfrac{500\times 6\times {10}^{-6}}{1.5.\times {10}^{-4}}=20cc

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