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_(C)//V_(L)`
D. `(gamma_(v))/(gamma_(L))=V_(L)//V_(C)`

Answer

A

Explanation

`DeltaV_(L)=DeltaV_(V)rArr gamma_(L)V_(L)=gamma_(v)V_(v)` or `(gamma_(L))/(gamma_(v))=(V_(v))/(V_(L))`
But `V_(v) gt V_(L)rArr gamma_(L) gt gamma_(v)`