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A point objects of mass m is slipping do...

A point objects of mass `m` is slipping down on a smooth hemispherical body of mass `M` and radius `R`. The point object is tied to a wall with an ideal string as shown. At a certain instant, speed of the hemisphere is `v` and its acceleration is a. Then speed `v_(p)` and acceleration `a_(p)` of a particle has value (Assume all the surfaces in contact are frictionless)

A

`v_(P) = v sin 60^(@)`

B

`v_(P) = v `

C

`a_(P) = a`

D

`a_(P) = sqrt([((v^(2) ) /( R )) + ( a (sqrt(3))/(2))]^(2) + (( a)/( 2))^(2))`

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The correct Answer is:
B, D
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