A proton, a deuteron and `alpha`-particle, whose kinetic energies are same, enter perpendicularly a uniform magnetic field. Compare the radii of their circular paths.

Explanation

To solve the problem of comparing the radii of the circular paths of a proton, a deuteron, and an alpha particle entering a uniform magnetic field with the same kinetic energy, we can follow these steps:

### Step 1: Understand the formula for the radius of the circular path
The radius \( R \) of a charged particle moving in a magnetic field is given by the formula:
\[ R = \frac{mv}{qB} \]
where:
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