Question

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

Answer 1

Answer:

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

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;

$E = hf\\\\E = \frac{hc}{\lambda}$

where;

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

c is speed of light = 3 x 10⁸ m/s

$E = \frac{(6.626 \times 10^{-34})(3\times 10^8)}{6.5 \times 10^6 \times 10^{-9}} \\\\E = 3.058 \times 10^{-23} \ J$

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