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Q.

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 that

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a

Its velocity is constant

b

Its acceleration is constant

c

kinetic energy is not constant

d

It moves in a circular path

answer is D.

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Detailed Solution

A constant force F  is acting on a particle having velocity V  such

that FV  as shown

Question Image

Here we observe.

Option (a) is not supporting the situation because velocity vector is

continuously changing its direction.

Option (b) is also not supporting again we get a  vector also not

constant it is also changing its direction.

Option (c) correctly concluding about K.E.

Here particle perform uniform circular motion.

So we get K.E. = constant (  m, v are constant)

Option (d) is also correctly concluding the path traced by the particle

Since FV  and F  is constant force.

Obviously particle perform uniform circular motion.

Ans:  d

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