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A smooth narrow tube in the form of an a...

A smooth narrow tube in the form of an arc AB of a circle of centre O and radius r is fixed so that A is vertically above O and OB is horizontal. Particles P of mass m and Q of mass 2 m with a light inextensible string of length (pi r/2) connecting them are placed inside the tube with P at A and Q at B and released from rest. Assuming the string remains taut during motion, find the speed of particles when P reaches B.
.

A

`sqrt((2gR)/(3))`

B

`sqrt((2gR)/(3pi))`

C

`sqrt((2(1 + pi) gR)/(3))`

D

`sqrt((2pi gR)/(3))`

Text Solution

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The correct Answer is:
C
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