A sphere of radius R and density `rho_1` is dropped in a liquid of density `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. `((rho_2-sigma)/(rho_1-sigma))v_1`B. `((rho_1-sigma)/(rho_1-sigma))v_1`C. `((rho_1)/(rho_2))v_1`D. `((rho_2)/(rho_1))v_1`

A sphere of radius R and density `rho_1` is dropped in a liquid of den

1.	A sphere of radius R and density `rho_1` is dropped in a liquid of density `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. `((rho_2-sigma)/(rho_1-sigma))v_1`B. `((rho_1-sigma)/(rho_1-sigma))v_1`C. `((rho_1)/(rho_2))v_1`D. `((rho_2)/(rho_1))v_1`
Answer» Correct Answer - A `6pietaRv_1=(4)/(3)piR^3(rho_1-sigma)` `6pietaRv_2=(4)/(3)piR^3(rho_2-sigma)` `(v_2)/(v_1)=((rho_2-sigma)/(rho_1-sigma))`

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