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Question

# A particle is moving along vertical circle of radius R inside a smooth hollow sphere. If V1,V2 are velocities of particle at the highest and lowest points of vertical circle respectively, then which of the following expression is true?

A
V22V21=2gR
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B
V22V21=3gR
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C
V22V21=4gR
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D
V22V21=6gR
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Solution

## The correct option is D V22−V21=4gRFor the particle to move in a circle inside the hollow sphere, it needs to have an critical velocities.i.e V2=√5gR and V1=√gR ∴V22−V21=4gR

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