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 gt gamma_V`
B. `gamma_L lt gamma_V`
C. `(gamma_V)/(gamma_L)=(V_V)/(V_L)`
D. `(gamma_V)/(gamma_L)=(V_L)/(V_V)`

Answer

A, D

Explanation

`DeltaV_L=DeltaV_V`
`Y_LV_L=Y_(V)V_V` or `(Y_L)/(T_V)=(V_V)/(V_L)`
`V_VgtV_LimpliesT_LgtY_V`