A vessel is partly filled with liquid. When the vessel is cooled to a lower temperature, the space in the vessel unoccupied by the liquid remains constant. Then the volume of the liquid `(V_L)` volume of the vessel `(V_V)` the coefficient of cubical expansion of the material of the vessel `(gamma_v)` and of the solid `(gamma_L)` are related as

Options

A. `gamma_(L)gtgamma_(v)`
B. `gamma_(L)ltgamma_(V)`
C. `(gamma_(V))/(gamma_(L))=(V_(V))/(V_(L))`
D. `(gamma_(V))/(gamma_(L))=(V_(L))/(V_(V))`

Answer

AD

Explanation

`DeltaV_(L)=DeltaV_(V)rArrgamma_(L)V_(L)=gamma_(V)V_(V)rArr(gamma_(L))/(gamma_(V))=(V_(V))/(V_(L))`
As `V_(V)gtV_(L)rArrgamma_(L)gtgamma_(V)`