Question

A microwave oven produces electromagnetic radiation with a wavelength of 12.2 cm and a power of 760 W. Calculate the number of microwave photons produced by the oven per second.

Answer 1

Answer:

The number of microwave photons produced by the oven per second, is 4.665 x 10²⁶ photons / s

Explanation:

Given;

wavelength of the electromagnetic radiation, λ = 12.2 cm = 0.122 m

power of the photon, P = 760 W = 760 J/s

The energy of a single photon of the radiation is given as;

$E = hf\\\\E = h(\frac{c}{\lambda} )\\\\E = 6.626*10^{-34}(\frac{3*10^{8}}{0.122} )\\\\E = 1.629*10^{-24} \ J / photon$

The number of microwave photons produced by the oven per second, is given as;

$n = \frac{760 \ J/s}{1.629*10^{-24} \ J/photon} \\\\n = 4.665*10^{26} \ photons / s$

Therefore, the number of microwave photons produced by the oven per second, is 4.665 x 10²⁶ photons / s