Answer:
E = 124 eV
Step-by-step explanation:
Given,
The frequency of the X-rays, ν = 3.0 x 10¹⁰ Hz
The formula for calculating the energy of the electromagnetic waves of a single photon of having frequency 'ν' is given by the relation
E = hν joules
Where,
h - Planck's constant (6.626 x 10⁻³⁴ Js)
Substituting the values in the above equation
E = 6.626 x 10⁻³⁴ Js x 3.0 x 10¹⁰ Hz
= 1.9878 x 10⁻²³ J
Converting it into eV
E = 1.9878 x 10⁻²³ x 6.242 x 10¹⁸ eV
= 124 eV
Therefore, the energy in electron volts of X-rays is, E = 124 eV