Question

Calculate the energy in electron volts of X-rays that have a frequency of 3.00 x 100 Hz.

Answer 1

Answer:

E = 124 eV

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