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A small ball is rolled with speed u from...

A small ball is rolled with speed `u` from point A along a smooth circular track as shown in figure. If `x=3R`, then

`What is the minimum value of x for which the ball can reach the point of projection after reaching C?

A

`2R`

B

`5R`

C

`3R`

D

`5/2R`

Text Solution

Verified by Experts

The correct Answer is:
A

Minimum velocity at `C: v_C=sqrt(gR)`
Range, `v_Csqrt((2xx2R)/(g))=2R`
This is the minimum value of x.
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