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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 the point of contact only

b

conserved about the centre of the sphere only

c

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

d

conserved about every point

answer is D.

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Detailed Solution

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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 passing through the centre of the ball

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