A charged particle is projected perpendicular to a uniform magnetic field. Describe area bounded by the path of particle inside magnetic field, in terms of its kinetic energy.

Explanation

To solve the problem of determining the area bounded by the path of a charged particle projected perpendicular to a uniform magnetic field in terms of its kinetic energy, we can follow these steps:

### Step 1: Understand the Motion of the Charged Particle
When a charged particle is projected perpendicular to a magnetic field, it experiences a magnetic force that acts as a centripetal force, causing it to move in a circular path.

### Step 2: Write the Expression for Centripetal Force
The centripetal force required to keep the particle moving in a circular path is given by:
\[
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