College

A 900 W microwave generator in an oven generates energy quanta of frequency 2560 MHz. How much energy is generated?

Answer :

Final answer:

The energy of a single quantum is computed using the Planck's equation: E = hf. To find the total energy output, that single quantum energy is multiplied by the number of photons produced within one second when operating a 900 W microwave oven at full capacity.

Explanation:

The student is interested in understanding how many energy quanta a 900 W microwave oven system with a frequency of 2560 MHz generates. The energy of a single photon (the smallest quantum of electromagnetic energy) can be calculated using Planck's equation: E = hf, where, E is the energy of a photon, h is Planck’s constant (6.626 x 10^(-34) Js), and f is the frequency of the system. In this case, for obtaining the total energy, we multiply the energy of each quantum with the number of photons produced within one second when the system operates at full capacity (900 W). The lesser the frequency of the system, the more the number of quanta for a given energy output.

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