Question

Calculate the energy in joules of a wave particles with a wave length of 6.5×10^6 nm (infrared region)

Answer 1

The energy of the wave particle is 3.058 x 10⁻²³ J.

Step-by-step explanation:

Given;

wavelength of the wave particle, λ = 6.5 x 10⁶ nm = (6.5 x 10⁶) x 10⁻⁹ m

The energy of the wave particle is calculated as;

`E = hf\\\\E = (hc)/(\lambda)`

where;

h is Planck's constant = 6.626 x 10⁻³⁴ J/Hz

c is speed of light = 3 x 10⁸ m/s

`E = ((6.626 * 10^(-34))(3* 10^8))/(6.5 * 10^6 * 10^(-9)) \\\\E = 3.058 * 10^(-23) \ J`

Therefore, the energy of the wave particle is 3.058 x 10⁻²³ J.