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A small ball (mass m) falling under grav...

A small ball (mass m) falling under gravity in a viscous medium experience a drag force proportional to the instantaneous speed u such that `F_(drag)=ku`. Then the terminal speed of ball within viscous medium is

A

`k/(mg)`

B

`(mg)/k`

C

`sqrt((mg)/(k))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Drag force +upthrust =weight
`:. Ku+F=mg`
or, `u=(mg-F)/(k)`.
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