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.