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A fixed U-shaped smooth wire has a semi-...

A fixed `U`-shaped smooth wire has a semi-circular bending between `A` and `B` as shown in the figure. A bead of mass `'m'` moving with uniform speed `v` through the wire enters the semicircular bend at `A` and leaves at `B`. The magnitude of average force exerted by the bead on the part `AB` of the wire is

A

0

B

`(4mv^(2))/(pid)`

C

`(2mv^(2))/(pid)`

D

none of these

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