Question

Find the

(a) maximum frequency, and

(b) minimum wavelength of X-rays produced by 30 kV electrons.

Answer 1

Potential of the electrons, V = 30 kV = 3 × 10⁴ V

Hence, energy of the electrons, E = 3 × 10⁴ eV

Where,

e = Charge on an electron = 1.6 × 10⁻¹⁹ C

(a)Maximum frequency produced by the X-rays = ν

The energy of the electrons is given by the relation:

E = hν

Where,

h = Planck’s constant = 6.626 × 10⁻³⁴ Js

Hence, the maximum frequency of X-rays produced is

(b)The minimum wavelength produced by the X-rays is given as:

Hence, the minimum wavelength of X-rays produced is 0.0414 nm.