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A drop of liquid is broken down into 27 ...

A drop of liquid is broken down into `27` identical liquid drops. If the terminal velocity of original liquid drops is `V_(T)`, then find the terminal velocity of the new liquid drop thus formed.

A

`1//27`

B

`27`

C

9

D

`1//9`

Text Solution

Verified by Experts

The correct Answer is:
C
Terminal velocity for sphere of radius r
`v=2/(9 eta)(d - rho) r^(2)g`
`implies v prop r^(2)`
`r_(2)^(3)=(r_(1)^(3))/27implies(r_(1))/(r_(2))=3implies(v_(1))/(v_(2))=((r_(1))/(r_(2)))^(2)=9`
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