A proton and an `alpha`-particle, accelerated through same potential difference, enter a region of uniform magnetic field with their velocities perpendicular to the field. Compare the radii of circular paths followed by them.

Explanation

To compare the radii of the circular paths followed by a proton and an alpha particle when both are accelerated through the same potential difference and enter a uniform magnetic field perpendicularly, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Charges and Masses**:
- The charge of a proton (Q) is \( q \).
- An alpha particle consists of 2 protons and 2 neutrons, giving it a charge of \( 2q \) and a mass of approximately \( 4m \) (where \( m \) is the mass of a proton).

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