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A charge particle moves in a circular path in xy-plane centered at the origin. If the speed of the particle is constant and uniform magnetic field $\vec{B}$ exist in the region, then its angular momentum

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About the origin is constant both in magnitude and direction

About (0, 0, 1) is constant in magnitude but not in direction

About (0, 0, 1) varies both in magnitude and direction

About (0, 0, 1) is constant in direction but not in magnitude

answer is A, B.

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Detailed Solution

$\vec{L_{0}} = \vec{r} \times \vec{p}$

$| \vec{L_{0}} | = r p$

direction will change if the point is not coinciding with the center of rotation.

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