A bakelite beaker has volume capacity of 500   cc at 30 ° C . When it is partially filled with V m…

A bakelite beaker has volume capacity of 500 cc at 30°C. When it is partially filled with Vm volume (at 30°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, where γ is the coefficient of volume expansion, then  Vm (in cc ) is close to

Solution

Vm=Vc

VmγmT=VcγcT

Vm=Vcγcγm=500×6×10-61.5.×10-4=20cc

Asked in: JEE Main 2020 (03 Sep Shift 1)

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