Question

What is the energy of a photon with: a wavelength of 1 nm? What type of radiation is it?

Answer 1

Explanation:

Given parameters:

 Wavelength of photon  = 1nm  = 1  x 10⁻⁹m

Unknown:

Energy of the photon = ?

Type of radiation = ?

Solution:

The energy of a photon can be derived using the expression below:

      E = $\frac{h c}{wavelength}$

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

c is the speed of light = 3 x 10⁸m/s

Insert the parameters and solve;

      E  = $\frac{6.63 x 10^{-34} x 3 x 10^{8} }{1 x 10^{-9} }$  

       E = 1.98 x 10⁻¹⁸J

Type of radiation:

X-rays