Question

1.

Calculate the energy possessed by a single photon having electromagnetic radiation of 8.40 x 10^14 Hz. Show your work. No work No credit. Round using significant figures
2.
What is the frequency of an X-ray with a wavelength of 2.13 x 10^-13m? Show your work. Round using significant figures. No work No credit.

Answer 1

Step-by-step explanation:

1.

Given parameters:

Frequency of the radiation = 8.4 x 10¹⁴Hz

Unknown:

Energy of the wave = ?

Solution:

The energy of a wave is given by the expression below;

E = hf

E is the energy

h is the Planck's constant = 6.63 x 10⁻³⁴m²kg/s

f is the frequency

Now insert the parameters and solve;

E = 6.63 x 10⁻³⁴m²kg/s x 8.4 x 10¹⁴Hz

E = 5.57 x 10¹ x 10⁻²⁰J

E = 5.57 x 10⁻¹⁹J

2.

Given parameters:

Wavelength = 2.13 x 10⁻¹³m

Unknown:

Frequency of the wave = ?

Solution:

The frequency of a wave can be determined using the expression;

C = f∧

C is the speed of light = 3 x 10⁸m/s

f is the frequency

∧ is the wavelength

f =
`(C)/(wavelength)` =
`(3 x 10^(8) )/(2.13 x 10^(-13) )` = 1.41 x 10²¹hz