The rediation emitted when an electron jumps from `n = 3 to n = 2` orbit in a hydrogen atom falls on a metal to produce photoelectron. The electron from the metal surface with maximum kinetic energy are made to move perpendicular to a magnetic field of `(1//320) T` in a radius of `10^(-3) m`. Find (a) the kinetic energy of the electrons, (b) Work function of the metal , and (c) wavelength of radiation.

Explanation

To solve the problem step by step, we will find the kinetic energy of the electrons, the work function of the metal, and the wavelength of the radiation emitted when an electron jumps from the n = 3 to n = 2 orbit in a hydrogen atom.

### Step 1: Calculate the Kinetic Energy of the Electrons

The kinetic energy (KE) of the electrons can be calculated using the formula derived from the motion of charged particles in a magnetic field:

\[
KE = \frac{E^2 B^2 R^2}{2m}
...