# 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 Option 1) its velocity is constant Option 2) its acceleration is constant Option 3) its kinetic energy is constant Option 4) it moves in a straight line.

As we learnt in

Work done by time dependent force -

$W= \int \vec{F}\cdot \vec{v}\: dt$

- wherein

Where $\vec{F}$ and $\vec{v}$ are force and velocity vector at any instant

In this case since force is constant and it is always perpendicular to velocity so work done by this force is zero. Hence speed or kinetic energy remains constant.

Option 1)

its velocity is constant

Option 2)

its acceleration is constant

Option 3)

its kinetic energy is constant

Option 4)

it moves in a straight line.

N

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