A proton and an alpha particle, both are moving with same initial velocity, perpendicular to uniform magnetic field of 1 T. Find the ratio of radii of circles described by the alpha particle and the proton.

Explanation

To find the ratio of the radii of the circles described by a proton and an alpha particle moving in a magnetic field, we can follow these steps:

### Step 1: Understand the motion in a magnetic field
When a charged particle moves perpendicular to a magnetic field, it experiences a magnetic force that causes it to move in a circular path. The radius of this circular path can be determined using the formula derived from the balance of forces.

### Step 2: Write the formula for the radius of circular motion
The radius \( R \) of the circular path of a charged particle in a magnetic field is given by the formula:

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