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Q.

A sphere is released on a smooth inclined plane from the top. when it moves down, its angular momentum is

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a

conserved about every point

b

conserved about the point of contact only

c

conserved about the centre of the sphere only

d

conserved about any point on a line parallel to the inclined plane and passing through the centre of the ball

answer is D.

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Detailed Solution

As the inclined plane is smooth, the sphere can never roll, rather it will just slip down. Hence, the angular momentum remains conserved about any point on a line parallel to the inclined plane and passes through the centre of the ball.
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