A glass vessel is filled up to 3/5th of its volume by mercury. If the volume expansivities of glass and mercury be `9xx 10^(-6)//^(@)C` and `18xx10^(-5)//^(@)C` respectively, then the coefficient of apparent expansion of mercury isA. `17.1xx10^(-5)//^(@)C`B. `9.9xx10^(-5)//^(@)C`C. `17.46xx10^(-5)//^(@)C`D. `16.5xx10^(-5)//^(@)C`

A glass vessel is filled up to 3/5th of its volume by mercury. If the

1.	A glass vessel is filled up to 3/5th of its volume by mercury. If the volume expansivities of glass and mercury be `9xx 10^(-6)//^(@)C` and `18xx10^(-5)//^(@)C` respectively, then the coefficient of apparent expansion of mercury isA. `17.1xx10^(-5)//^(@)C`B. `9.9xx10^(-5)//^(@)C`C. `17.46xx10^(-5)//^(@)C`D. `16.5xx10^(-5)//^(@)C`
Answer» Correct Answer - D Let V be the volume of the glass vessel. Then volume of mercury will be `(3//(5)` V. Expansion of mercury`=(3//5)Vxxgamma_mDeltaT` And that of glass`=Vgamma_gDeltaT` Net (effective or apparent) expansion of mercury `DeltaV=V((3gamma_m)/(5)-gamma_g)DeltaT` `:.` Coefficient of apparent expansion will be `(DeltaV)/((3//5)VxxDeltaT)=((3)/(5)gamma_mgamma_g)(5)/(3)`

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