High School

An FM radio transmitter has a power output of 150 kW and operates at a frequency of 99.7 MHz. How many photons per second does the transmitter emit?

Answer :

The number of photons emitted is 2.27 x 10³⁰ photons / s.

What is the number of photons emitted?

The number of photons emitted is calculated by applying the following formula.

N = P / E

Where;

  • P is the power output of the transmitter
  • E is the energy of each photon

The energy of each photon is calculated as;

E = hf

Where;

  • h is Planck's constant
  • f is the frequency of the transmitter

E = 6.626 x 10⁻³⁴ x 99.7 x 10⁶

E = 6.61 x 10⁻²⁶ J

The number of photons emitted is calculated as;

N = ( 150, 000 ) / ( 6.61 x 10⁻²⁶)

N = 2.27 x 10³⁰ photons / s

Learn more about number of photons emitted here: https://brainly.com/question/30662542

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