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

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

Step-by-step 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((c)/(\lambda) )\\\\E = 6.626*10^(-34)((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 = (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