Two rain drops falling through air have radii in the ratio `1:2`. They will have terminal velocity in the ratio

Options

A. `4:1`
B. `1:4`
C. `2:1`
D. `1:2`

Answer

B

Explanation

Terminal velocity, `v= (2r^(2) (rho - sigma) g)/(9 eta)` i.e., `v prop r^(2)`
`:. (v_(1))/(v_(2)) = (r_(1)^(2))/(r_(2)^(2)) =((1)/(2))^(2) = (1)/(4)`