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Question

A constant force is acting perpendicular to the velocity ofa particle. For this situation, which one of the following is correct?

A
velocity is constant
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B
acceleration is constant
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C
momentum will be constant
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D
the particle follows an elliptical path
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Solution

The correct option is C acceleration is constant
Since the force acts perpendicular to the velocity of the particle,acceleration will always be force per unit mass.So accelearation will remain constant for such a situation.Also the velocity in the direction of force is changing so momentum cannot be constant.
Also the particle's velocity will be either constantly increasing or decreasing thereby giving a constantly increasing or decreasing angle between the horizontal and perpendicular velocity.So it could not follow an elliptical path.

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