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A radio station broadcasts at a frequency of 92.0 $\mathrm{MHz}$ with a power output of 50.0 $\mathrm{kW}$ . (a) What is the energy of each emitted photon, in joules and electron volts? (b) How many photons are emitted per second?

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A) $3.8 \times 10^{-7} \mathrm{eV}$B) $8.2 \times 10^{29}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 28

Photons, Electrons, and Atoms

Electromagnetic Waves

Atomic Physics

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Lectures

02:42

Atomic physics is the field of physics that studies atoms as an isolated system of electrons and an atomic nucleus. It is primarily concerned with the arrangement of electrons around the nucleus and the processes by which these arrangements change. The theory of quantum mechanics, a set of mathematical rules that describe the behaviour of matter and its interactions, provides a good model for the description of atomic structure and properties.

03:50

In atomic physics, the Rutherford-Bohr model or Bohr model or Bohr model of the atom was first proposed by Niels Bohr in 1913. It was the first quantum theory of the atomic structure, applying the principles of quantum mechanics to the hydrogen atom. The Rutherford-Bohr model is a planetary model in which the electron is assumed to revolve around the nucleus in circular orbits. The Rutherford-Bohr model of the atom was based on Max Planck's quantum theory of radiation, which explained the spectrum of blackbody radiation, and Albert Einstein's theory of the photoelectric effect, which explained the origin of the spectrum of line emission from atoms. The Bohr model of the atom was the first to explain the discrete spectrum of hydrogen and how the spectral lines of the hydrogen atom were split into multiple spectral lines in a phenomenon called the fine structure. It introduced the Bohr radius and the concept of quantum levels to explain the discrete nature of the spectrum of the hydrogen atom. The Bohr model of the atom had a significant influence on the development of quantum mechanics, and was instrumental in the development and validation of quantum mechanics.

02:09

A radio station broadcasts…

03:08

An FM radio station broadc…

02:00

What is the energy in joul…

00:33

01:07

A 1000 kHz AM radio statio…

02:56

(a) If the power output of…

02:03

(a) Find the energy in jou…

all right. The energy of a photon is given by e equals H f where h is planes constant and off is the frequency of the photon depending what units? We want the energy and will use a different expression for H. If we want Ian eat in units of electron volts, then we should use H is 4.14 attempts. 10 to the negative, 15 evey got seconds. And our frequency in this case is 92 times 10 to the sixth hurts or in vour seconds. And so each photon has an energy of 3.81 times 10 to the negative 17 electron volts. And if we want to convert this to Jules, then we divide out or excuse me. We multiply by 1.6 times 10 to the negative 19 Jules Pretty. And this comes out to 6.1 times 10 to the negative. 26. Jules. Okay. In part B, we want to know how many photons are associated with this power source. So for power source is 50 times 10 to the three watts. That's 50 times ended the three jewels per second, divided by 6.1 times 10 to the negative 25 jewels perf otan. And this gives us 8.20 times. 10 to the 29. So tons per second, Yeah.

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