Q.

A particle is moving along a circular path of radius r with uniform speed V. Then magnitude of average velocity of the particle during the time interval when it moves from A to B is

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a

2 Vπ

b

2 Vπ

c

22 Vπ

d

V2π

answer is C.

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Detailed Solution

t = Time of travel =SV=AB¯V=πr2Vd = Displacement = Chord AB=x2+r2=2r∴ Vavg→=dt=2rπr2V=22Vπ
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A particle is moving along a circular path of radius r with uniform speed V. Then magnitude of average velocity of the particle during the time interval when it moves from A to B is