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Question

A particle is acted upon by a force of constant magnitude which is always perpendicular to the velocity of the particle. The motion of the particle takes place in a plane. It follows

A
its velocity is constant
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B
its K.E. is constant
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C
its acceleration is constant
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D
it moves in a straight line
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Solution

The correct option is B its K.E. is constant
The force vector is always perpendicular to the displacement vector (or velocity vector) i.e FS
Work done by the force W=F.S=0
From work-energy theorem, W=ΔK.E
ΔK.E=0 i.e Kinetic energy of the particle is constant.

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