A solid sphere of volume v and density $\mathrm{\rho }$ floats at the interface of two immiscible liquids of densities ${\mathrm{\rho }}_1\mathrm{and} {\mathrm{\rho }}_2$ respectively. If  ${\mathrm{\rho }}_1<\mathrm{\rho }<{\mathrm{\rho }}_2,$then the ratio of volume.of the parts of the sphere in upper and lower liquid is:

• A

  $\frac{\mathrm{\rho }-{\mathrm{\rho }}_1}{{\mathrm{\rho }}_2-\mathrm{\rho }}$

• B

  $\frac{{\mathrm{\rho }}_2-\mathrm{\rho }}{\mathrm{\rho }-{\mathrm{\rho }}_1}$

• C

  $\frac{\mathrm{\rho }+{\mathrm{\rho }}_1}{\mathrm{\rho }+{\mathrm{\rho }}_2}$

• D

  $\frac{\mathrm{\rho }+{\mathrm{\rho }}_2}{\mathrm{\rho }+{\mathrm{\rho }}_1}$