One spherical ball of radius `R`, density of released in liquid of density `d//2` attains a terminal velocity V. Another ball of radius 2R and density 1.5 d released in the liquid will attain a terminal velocity

Options

A. 2 V
B. 4 V
C. 6 V
D. 8 V

Answer

D

Explanation

`v=(2)/(9)(r^(2)(rho-rho_(0))g)/(eta)(v_(1))/(v_(2))=(r_(1)^(2))/(r_(2)^(2))xx((rho_(1)-rho_(0))/(rho_(2)-rho_(0)))`