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Q.

A small ball (mass m) falling under gravity in a viscous medium experiences a drag force proportional to the instantaneous speed u such that Fdrag = ku. Then, the terminal speed of ball with in viscous medium is

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a

kmg

b

mgk

c

mgk

d

None of these

answer is D.

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Detailed Solution

Weight- Upthrust = Drag force.
But no information is given regarding the upthrust.

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A small ball (mass m) falling under gravity in a viscous medium experiences a drag force proportional to the instantaneous speed u such that Fdrag = ku. Then, the terminal speed of ball with in viscous medium is