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Questions  

A spherical ball falls through viscous medium with terminal velocity V. If this ball is replaced by another ball of the same mass but half the radius, then the terminal velocity will be  (neglect the effect of buoyancy.)

a
v
b
2v
c
4v
d
8v

detailed solution

Correct option is B

At terminal velocity mg = 6πηrVT. For constant mass, VT ∝1r.Therefore, VT"VT = rr2 ⇒VT" = 2VT = 2V

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A ball is thrown upwards into air with a speed greater than its terminal speed. It lands at the same place from where it  was thrown. Mark the correct statement(s).


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