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A laser used to weld detached retinas emits light with a wavelength of 652 $\mathrm{nm}$ in pulses that are 20.0 $\mathrm{ms}$ in duration. The average power expended during each pulse is 0.600 $\mathrm{W}$ . (a) How much energy is in each pulse, in joules? In electron volts? (b) What is the energy of one photon in joules? In electron volts? (c) How many photons are in each pulse?

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A) $7.5 \times 10^{16} \mathrm{eV}$B) 1.905375 $\mathrm{eV}$C) $3.94 \times 10^{16}$ photons

Physics 102 Electricity and Magnetism

Physics 103

Chapter 28

Photons, Electrons, and Atoms

Electromagnetic Waves

Atomic Physics

Cornell University

University of Michigan - Ann Arbor

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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A laser used to weld detac…

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A laser used to weld deta…

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BIO A laser used to weld d…

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(II) A laser used to weld …

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02:09

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okay. And this question were told that we have, ah, pulses of light and they're at a wavelength of 652 nanometers. Ropes should be attended the minus nine, and we know that they're 20 milliseconds in duration. So time is equal to 20 times 10 to the minus three seconds. And, well, my lambda and two, you look very similar. So that's the Lambda. That's a T. And we know that the average power is 0.6 watts. So that's big decimal. And we want to get the energy. Um, a beach pulls. So in general, we can say that energy is the derivative of power, the respect of time so we can say power derided by time. And so if we take 0.6 and divided by 20 times 10 to the minus three, You know, um, I got that those 30 Jules. And if I want to convert that to E V, I need thio divided by, um 1.6 times 10 to the minus 19. Oh, wow. That's big. Why would we want it in those units? Um, energy is power departed by time in a positive video and rethink. Okay, I realized I made a mistake. Um, powers Energy over time, not energy is powered by to buy time. So, um, therefore, energy is power times time. So let me revise that. Yes, 30 jewels. Kind of Sounds like a lot, so that's 0.6 times 20. So that's 1.2. So that's 12 times 10 to the minus three. Jules. So, um and then if we convert that two eve, you we make that three a little clearer. Hopefully, that's a clearer three. I'm scum, right? Three. And, um great. So now we want to take that and divide it by 1.6 times 10 to the minus 19. Some do that on my calculator now. And I got 7.5 times. 10 to the 16 maybe. And we want for be the energy of one photons. And so this would be all for a for be the energy of one foe. Time actually described boxes away. That's gonna be equals H c over lambda. So I'm gonna go ahead and plug that in with Lambda 6 52 times. 10 to the minus nine. So, um, taking that into a calculator I got, but it's 3.5 times, 10 to the minus 19 Jules and which is equal to 1.9 one e v. And for C. We wantto probably got how many photons are in this and each pulse. And so we want to just take the this number or excuse me, this number and divided by this number. So 7.5 times 10 to the 16 divided by, um, 1.905 and I bought 3.94 times, 10 to the 16. So the number of photons is 3.94 times 10 to the 16 oh times.

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