A sphere of radius R  and density $\rho$₁  is dropped in a liquid of density $\mathrm{\sigma }.$ Its terminal velocity is v_1. If another sphere of radius R and density $\rho$₂ is dropped in the same liquid, its terminal velocity will be

• A

  $\left(\frac{{\mathrm{\rho }}_2-\mathrm{\sigma }}{{\mathrm{\rho }}_1-\mathrm{\sigma }}\right){\mathrm{V}}_1$

• B

  $\left(\frac{{\rho }_1-\sigma }{{\rho }_2\cdots \sigma }\right)V_1$

• C

  $\left(\frac{{\mathrm{\rho }}_1}{{\mathrm{\rho }}_2}\right){\mathrm{v}}_1$

• D

  $\left(\frac{{\mathrm{\rho }}_2}{{\mathrm{\rho }}_1}\right){\mathrm{V}}_1$