Question

A 900W microwave generator in an oven generates energy quanta of frequency 2560 MHz. How many energy quanta does it emit per second?

Answer 1

h ν = energy of 1 quanta

n h ν = 900 J / s energy generated

n = 900 J / s / (6.63E-34 J-s * 2.56E9 / s)

n = 5.30E26 / sec

Answer 2

The number of photons emitted per second by a 900W microwave generator operating at a frequency of 2560 MHz is calculated using the energy of a single photon and the power output of the generator, and it comes out to be approximately 5.30 x 10^25 photons per second.

Step-by-step explanation:

To find the number of energy quanta, or photons, emitted per second by a 900W microwave generator with a frequency of 2560 MHz, we first need to calculate the energy of a single photon. The energy (E) of a single photon can be calculated using Planck's equation, E = hν, where h is Planck's constant (6.626 x 10-34 Js) and ν (nu) is the frequency of the electromagnetic wave in Hz. Since 1 MHz equals 1,000,000 Hz, the frequency is 2560 x 106 Hz.

Energy of a single photon, E = (6.626 x 10-34 Js) × (2560 x 106 Hz) = 1.697 x 10-24 joules

Next, we calculate the number of photons emitted per second by the microwave oven's output power. Since power (P) is the rate of energy transfer, we can find the number of photons by dividing the total power by the energy per photon: Number of photons = P/E.

Number of photons per second = (900 J/s) / (1.697 x 10-24 joules/photon) ≈ 5.30 x 1025 photons/second.

Therefore, a 900W microwave generator operating at a frequency of 2560 MHz emits approximately 5.30 x 1025 photons per second.