Question

Find the wavelength of a photon of light with energy of 9.02x10^-19 J.

Answer 1

2.21 x 10⁻⁷m⁻¹

Step-by-step explanation:

Given parameters:

Energy of the photon = 9.02 x 10⁻¹⁹J

Unknown:

Wavelength of the photon = ?

Solution;

The wavelength and energy of a photon are related using the expression below;

E =
`(hc)/(wavelength)`

h is the Planck's constant = 6.63 x 10⁻⁴m²kg/s²

c is the speed of light

E is the energy

h c = E x wavelength

Wavelength =
`(hc)/(E)` =
`(6.63 x 10^(-34) x 3 x 10^(8) )/(9.02 x 10^(-19) )`

Wavelength = 2.21 x 10⁻⁷m⁻¹