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Q.

In the given curved road, if particle is released from A, then: 

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a

kinetic energy at B must be mgh.

b

kinetic energy at B may be zero.

c

kinetic energy at B must be less than mgh.

d

kinetic energy at B must not be equal to zero.

answer is B.

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Detailed Solution

 If the surface is smooth, then the kinetic energy at B never be zero.

 If the surface is rough, the kinetic energy at B might be zero. Because, work done by force of friction is negative. If work done by friction is equal to mgh then, net work done on body will be zero. Hence, net change in kinetic energy is zero.

 If the surface is rough, the kinetic energy at B must be lesser than mgh. If surface is smooth, the kinetic energy at B is equal to mgh.

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