Two rain drops reach the earth with different terminal velocities having ratio 9:4. Then, the ratio of their volumes is

Options

A. `3:2`
B. `4:9`
C. `9:4`
D. `27:8`

Answer

D

Explanation

`V_(t1)/V_(t2) =r_(1)^(2)/r_(2)^(2) [ because V_(t) proptor^(2)]`
`implies sqrt(9/4) =r_(1)/r_(2)`
`V=4/3 pir^(3)`
i.e.,`v_(1)/v_(2) = r_(1)^(3)/r_(2)^(3)=[sqrt(9/4)]^(3)=27/8=27:8`