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Two rain drops reach the earth with diff...

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

A

`3:4`

B

`4:9`

C

`9:4`

D

`27:8`

Text Solution

Verified by Experts

(d) Terminal velcoity,`V_(T)oor^(2)`
or `(V_(T1))/(v_(T2))=(r_(1)^(2))/(r_(2)^(2))`
`thereforesqrt((9)/(4))=(r_(2))/(r_(2))or(r_(1))/(r_(2))=(3)/(2)`
`thereforeV=(4)/(3)pir^(3)or (V_(1))/(V_(2))=(r_(1))/(r_(2)^(3))=(27)/(8)`
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