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A particle is confined to rotate in a ci...

A particle is confined to rotate in a circular path decreasing linear speed, then which of the following is correct?

A

`vecL` (angular momentum) is conserved about the centre

B

Only direction of angular momentum `vecL` is conserved

C

It spirals towards the centre

D

Its acceleration is towards the centre

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The correct Answer is:
B

`|vecL| =mvr`, since `v` is changing (decreasing) `L` is not conserved in magnitude. Since it is given that a particle is confined to rotate in a circular path, it canot have spiral path. Since. The particle has two acceleration `a_(c)` and `a_(t)`, therefore the net acceleration is not towards the centre.

The direction of `vecL` remains the same even when the speed decreases.
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