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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

`3/2`

B

`9/4`

C

`(27)/(8)`

D

`8/(27)`

Text Solution

Verified by Experts

The correct Answer is:
B

Terminal velocity `vpropr^2`
`:." "(v_1)/(v_2)=(r_1^2)/(r_2^2)=9/4" or "(r_1)/(r_2)=3/2`
`:." "("Volume"(V_1))/("Volume"(V_2))=((4pi)/3)/((4pi)/3)((r_1^3)/(r_2^3))=((3)/(2))^3=(27)/8`
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