A particle rests on the top of a hemisphere of radius R. Find the smallest horizontal velocity that must be imparted to the particle if it is to leave the hemisphere without sliding down is
A
√gR
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B
√2gR
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C
√3gR
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D
√5gR
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Solution
The correct option is A√gR The velocity should be such that the centripetal acceleration is equal to the acceleration due to gravity ⇒v2R=g or, v=√Rg