1.

A vessel is partly filled with a liquid. Coefficients of cubical expansion of material of the vessel and liquid are `gamma_v` unoccupied by the liquid will necessarilyA. remain unchanged if `gamma_v=gamma_L`B. increase if `gamma_v=gamma_L`C. decrease if `gamma_v=gamma_L`D. none of the above

Answer» Correct Answer - B
Since the vessel is partly filled, volume of the vessel is greater that of the liquid. When a body having volume V is heated through `Deltatheta`, then increase in its volume is given by
`DeltaV=VgammaDeltatheta`
Since, `gamma_V=gamma_L`, therefore `DeltaVpropV`. Hence on heating expansion of vessel will be greater than that of liquid. It means unoccupied volume will necessarily increase. So, option (b) is correct.


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