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Question

A particle moves along a circular path with decreasing speed.Then

A
its angular momentum remains constant
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B
its resultant acceleration is towards the centre
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C
particle moves in a spiral path with decreasing radius
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D
the direction of angular momentum remains constant
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Solution

The correct option is D the direction of angular momentum remains constant
A particle moves along a circular path with speed, then the angular momentum is given by
L=r×p=r×mv
When the speed v decrease, the magnitude of of angular momentum decreases. But the direction of angular momentum remains constant.
The correct option is D.

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