A beam of charged particle, having kinetic energy `10^3 eV`, contains masses `8xx10^(-27) kg and 1.6xx10^(-26) kg` emerge from the end of an accelerator tube. There is a plate at distance `10^2 m` from the end of the tube and placed perpendicular to the beam. Calculate the magnitude of the smallest magnetic field which can prevent the beam from striking the plate.

Explanation

To solve the problem of finding the magnitude of the smallest magnetic field that can prevent a beam of charged particles from striking a plate, we can follow these steps:

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