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Two water drops of the same radius are f...

Two water drops of the same radius are falling through air with a velocity 5cm/s. If the two drops coalesce to form one drop, the terminal velocity of the drop will be

A

`15xx10^(-2) ms^(-1)`

B

`2.4xx10^(-2) ms^(-1)`

C

`0.75xx10^(-2) ms^(-1)`

D

`25xx10^(-2) ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_T prop r^2`
`8 xx 4/3 pi r^3 = 4/3pi R^3`
R=2r
`implies (V_(T_1))/(V_(T_2))=((r)/(2r))^2=1/4 implies V_(T_2)=4xx3.75xx10^(-2)`
`=15xx10^(-2)` m/s
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