A solid sphere having 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. lf ${\mathrm{\rho }}_1<\mathrm{\rho } <{\mathrm{\rho }}_2$, 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

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