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Question

A particle is in motion along a curved path. Then,

A
If its speed is constant, it has no acceleration
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B
lf its speed is constant, the magnitude of its acceleration at any point of its path is inversely proportional to the radius curvature of the path there.
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C
lf its speed is increasing, the acceleration of the particle is along the direction of its motion.
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D
lf its speed is constant , the direction of its acceleration cannot be along the tangent.
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Solution

The correct options are
A lf its speed is constant, the magnitude of its acceleration at any point of its path is inversely proportional to the radius curvature of the path there.
D lf its speed is constant , the direction of its acceleration cannot be along the tangent.
Its speed may be constant but it has some magnitude of acceleration at any point on its path . Its acceleration is inversely proportional to the curvature of path there.The direction of its velocity is always tangent to the curve but not acceleration.
Therefore, (B) and (D) are the correct options.

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