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Question

A small steel ball is released from rest at the rim of a hemispherical glass bowl as shown below. Considering no friction, choose the correct statement.

A
The ball will move out of the glass bowl on reaching point B.
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B
The ball will stop at point C after a number of to-and-fro motions.
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C
The ball will keep oscillating between points A and B and will never stop.
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D
The ball will not move at all since friction is necessary for motion.
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Solution

The correct option is C The ball will keep oscillating between points A and B and will never stop.
As friction is absent, there won't be any loss of energy. Initially the ball has potential energy which is converted totally into kinetic energy at point C. As the ball starts ascending along CB, its kinetic energy is converted into potential energy. As there is no loss of energy, the ball will keep oscillating between points A and B.

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