A charged particle of mass m and charge q is accelerated through a potential difference of V volts. It enters a region of uniform magnetic field which is directed perpendicular to the direction of motion of the particle. Find the radius of circular path moved by the particle in magnetic field.

Explanation

To find the radius of the circular path of a charged particle moving in a magnetic field, we can follow these steps:

### Step 1: Understand the Energy Conversion
When a charged particle of mass \( m \) and charge \( q \) is accelerated through a potential difference \( V \), the work done on the particle is converted into kinetic energy. The relationship can be expressed as:
\[ qV = \frac{1}{2} mv^2 \]

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