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$\bullet$ The photoelectric threshold wavelength of a tungsten surface is 272 $\mathrm{nm}$ . (a) What are the threshold frequency and work function (in eV) of this tungsten? (b) Calculate the maximum kinetic energy (in eV) of the electrons ejected from this tungsten surface by ultraviolet radiation of frequency $1.45 \times 10^{15} \mathrm{Hz}$

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1.43 $\mathrm{eV}$

Physics 102 Electricity and Magnetism

Physics 103

Chapter 28

Photons, Electrons, and Atoms

Electromagnetic Waves

Atomic Physics

Martin P.

April 22, 2020

distinguish between functionalist and conflict perspectives on crime and deviance

Hope College

University of Sheffield

McMaster University

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.

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The photoelectric threshol…

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A 600-nm light falls on a…

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When ultraviolet light wit…

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The threshold wavelength …

07:01

The work function for tung…

Okay, So in this problem, we know that the threshold wavelength is 272 nanometers, so we can call this lambda Threshold equals 2 72 nanometers. And our goal is to got the threshold frequency. And so we can say in general, um, frequency is equal to see divided by lambda. Uh, and I just remember that cause it has the right unit. And so if I take three times 10 to the eight and divided by 2 72 pranks sort of the minus nine, I got 1.10 time's kind of the 15 hurts wasn't one over. 0110 times. 10 to the 15. And we want to God. Now we want to get the work function so we can kind of use the results of problem five to show that, um, that, uh, five, the work function is equal to h f. So fi equals h f. And so I can get that e just need to multiply Planck's constant by f and then we want to get it an e v. So all use 4.14 times 10 to the minus 15 proponents constant and then I'll use the frequency I calculated. So I got 4.57 you be Is that it was No. 4.57 e V. And then we want to get the maximum kinetic energy. Um, if we illuminate the if we illuminate the tungsten surface with the radiation frequency of, um, 1.45 times 10 to the minus 15. So we know but the frequency incident I don't know if that's a common, um, sub script, but I'm going to use it 1.45 times 10 to the 15 hurts. And we want to get the maximum energy. And so we know that that's equal to Based on equation 28.3, it's h f minus the work function. So it's gonna be a JJ off incident minus the work function 4.57 e v. So let's go ahead and calculate age times 1.45 here and then subtract 4.57 So 145 minus this whole thing. And then I got 1.44 You'd be

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