Question

1.)A photon has a wavelength of 1.95 x10^-11 m. What is the frequency?

a.)Using your answer, find the energy of that photon

Answer 1

Step-by-step explanation:

Given parameters:

Wavelength of photon = 1.95 x 10⁻¹¹m

Unknown:

Frequency of the wave = ?

Energy of the photon = ?

Solution:

The frequency and wavelength of a wave are related by the expression;

C = Fλ

C = speed of light = 3 x 10⁸m/s

F = frequency

λ = wavelength

Insert the parameters and solve;

3 x 10⁸ = F x 1.95 x 10⁻¹¹

F =
`(3 x 10^(8) )/(1.95 x 10^(-11) )` = 1.54 x 10¹⁹Hz

Energy of the photon is related to frequency using the expression below;

E = hF

h is the Planck's constant = 6.634 x 10⁻³⁴m²kg/s

Insert the parameters and solve;

E = 6.634 x 10⁻³⁴ x 1.54 x 10¹⁹ = 1.02 x 10⁻¹⁴J