PHYSICS FOR SCIEN & ENGNR W/MOD MAST
4th Edition
ISBN: 9780134112039
Author: GIANCOLI
Publisher: PEARSON
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Question
Chapter 37, Problem 33P
(a)
To determine
The kinetic energy of the electron for the given conditions.
(b)
To determine
The wavelength of the recoiling photon for the given conditions.
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(d) In a photoelectric experiment using a photocell, the graph of stopping potential Vs against frequency f of incident light as shown in FIGURE 6 is obtained. From the graph, deduce
(i) the threshold frequency.
(ii) the value of maximum kinetic energy when incident light frequency is 5.0✕1014 Hz. (Given: h=6.63✕10-34 Js ; e=1.602✕10-19 C).
(iii) Determine the value of stopping potential Vs. (Given: h=6.63✕10-34 Js ; e=1.602✕10-19 C).
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1. (4) A free electron at rest is struck by a photon of energy 2.874 MeV. After the collision, the
electron's kinetic energy is 1.437 MeV. Evaluate the angle between the incoming and outgoing"
photons.
2. a) Consider the Compton effect, a X-ray photon of wavelength 2' is incident on an electron
initially at rest, will the scattered photon have wavelength () higher or lower than the incident
photon? Show that, a = 2' – h(1 – cosp)/mc. o is the angle of scattering for the photon.
Chapter 37 Solutions
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
Ch. 37.2 - Prob. 1AECh. 37.2 - Prob. 1BECh. 37.4 - Prob. 1CECh. 37.7 - Prob. 1DECh. 37.7 - Prob. 1EECh. 37.11 - Prob. 1FECh. 37 - Prob. 1QCh. 37 - Prob. 2QCh. 37 - Prob. 3QCh. 37 - Prob. 4Q
Ch. 37 - Prob. 5QCh. 37 - Prob. 6QCh. 37 - Prob. 7QCh. 37 - Prob. 8QCh. 37 - Prob. 9QCh. 37 - Prob. 10QCh. 37 - Prob. 11QCh. 37 - Prob. 12QCh. 37 - Prob. 13QCh. 37 - Prob. 14QCh. 37 - Prob. 15QCh. 37 - Prob. 16QCh. 37 - Prob. 17QCh. 37 - Prob. 18QCh. 37 - Prob. 19QCh. 37 - Prob. 20QCh. 37 - Prob. 21QCh. 37 - Prob. 22QCh. 37 - Prob. 23QCh. 37 - Prob. 24QCh. 37 - Prob. 25QCh. 37 - Prob. 26QCh. 37 - Prob. 27QCh. 37 - Prob. 28QCh. 37 - Prob. 1PCh. 37 - Prob. 2PCh. 37 - Prob. 3PCh. 37 - Prob. 4PCh. 37 - Prob. 5PCh. 37 - Prob. 6PCh. 37 - Prob. 7PCh. 37 - Prob. 8PCh. 37 - Prob. 9PCh. 37 - Prob. 10PCh. 37 - Prob. 11PCh. 37 - Prob. 12PCh. 37 - Prob. 13PCh. 37 - Prob. 14PCh. 37 - Prob. 15PCh. 37 - Prob. 16PCh. 37 - Prob. 17PCh. 37 - Prob. 18PCh. 37 - Prob. 19PCh. 37 - Prob. 20PCh. 37 - Prob. 21PCh. 37 - Prob. 22PCh. 37 - Prob. 23PCh. 37 - Prob. 24PCh. 37 - Prob. 25PCh. 37 - Prob. 26PCh. 37 - Prob. 27PCh. 37 - Prob. 28PCh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - Prob. 55PCh. 37 - Prob. 56PCh. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Prob. 59PCh. 37 - Prob. 60PCh. 37 - Prob. 61PCh. 37 - Prob. 62PCh. 37 - Prob. 63PCh. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PCh. 37 - Prob. 69PCh. 37 - Prob. 70PCh. 37 - Prob. 71PCh. 37 - Prob. 72GPCh. 37 - Prob. 73GPCh. 37 - Prob. 74GPCh. 37 - Prob. 75GPCh. 37 - Prob. 76GPCh. 37 - Prob. 77GPCh. 37 - Prob. 78GPCh. 37 - Prob. 79GPCh. 37 - Prob. 80GPCh. 37 - Prob. 81GPCh. 37 - Prob. 82GPCh. 37 - Prob. 83GPCh. 37 - Prob. 84GPCh. 37 - Prob. 85GPCh. 37 - Prob. 86GPCh. 37 - Prob. 87GPCh. 37 - Prob. 88GPCh. 37 - Prob. 89GPCh. 37 - Prob. 90GPCh. 37 - Prob. 91GPCh. 37 - Prob. 92GPCh. 37 - Prob. 93GPCh. 37 - Show that the wavelength of a particle of mass m...Ch. 37 - Prob. 95GPCh. 37 - Prob. 96GPCh. 37 - Prob. 97GPCh. 37 - Prob. 98GPCh. 37 - Prob. 99GPCh. 37 - Prob. 100GP
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- For collisions with free electrons, compare the Compton shift of a photon scattered as an angle of 30° to that of a photon scattered at 45Carrow_forwardIn a Compton scattering experiment, an x-ray photon scatters through an angle of 15.0° from a free electron that is initially at rest. The electron recoils with a speed of 2,200 km/s. (a) Calculate the wavelength of the incident photon. nm (b) Calculate the angle through which the electron scatters. Oarrow_forwardIn a Compton scattering experiment, an x-ray photon scatters through an angle of 20.2° from a free electron that is initially at rest. The electron recoils with a speed of 2,440 km/s. (a) Calculate the wavelength of the incident photon.nm(b) Calculate the angle through which the electron scatters.arrow_forward
- A) Astronomers measure the peak wavelength of a nearby star to be 410 nm. What is the star's temperature? B) How much energy does a single photon of light have at this wavelength? C) An electron bound in an unknown metal requires 1.45E-19 ] of energy under the photoelectric effect to become free of the metal. How much kinetic energy would it have if struck by the photon froft part (b)? D) What is the final speed of the elctron from part (c)?arrow_forward(4) (i) Light shining on a metal surface produces photoelectrons with a maximum kinetic energy of 2.0 eV. The light intensity is then doubled. Now what is the maximum kinetic energy of the photoelectrons, in eV? (ii) The detector in an ordinary digital camera is made of silicon. This detector works by the photoelectric effect. The longest wavelength of light that an ordinary digital camera can detect has a wavelength of 1 micron (where 1 micron = 10^-6 m). What is the work function of silicon, in eV? (iii) Infrared cameras don't use detectors made of silicon. For an infrared camera to detect infrared radiation with a wavelength of 22 microns, its detector must be made of a di erent material. What is the maximum possible work function of this material, in eV?arrow_forward(b) (i) Calculate the de Broglie wavelength of an electron having a mass of 9.11 x 1031 kg and a charge of 1.602 x 10-19 J with a Kinetic energy of 135 eV. The value of the Planck's constant is equal to 6.63 * 10-34 Js. (ii) Assume that an electron is moving along the x-axis with a speed of 3.66 x 106 m/s and with a precision of 0.50%. Calculate the minimum uncertainty (as allowed by the uncertainty principle in quantum theory) with which the position of the electron along the X-axis simultaneously can be measured with the speed?arrow_forward
- 2. In a Compton scattering event, an incident photon is scattered by a free electron initially at rest. (i) If the scattered photon acquires a wavelength A' (where h is the Plank constant; mẹ is rest mass of electron; c is free-space light velocity), show that the scattered photon propagates in a direction perpendicular to that of the scattered electron. If the scattered electron propagates with kinetic energy 127.8 keV in a direction opposite to that of the scattered photon, as shown in Figure 2. Find the angle 0, and therefore determine wavelengths of the incident and scattered photons, respectively. (ii) 180° – 0 λο Figure 2arrow_forwardIn a Compton scattering experiment, an x-ray photon scatters through an angle of 17.0° from a free electron that is initially at rest. The electron recoils with a speed of 2,120 km/s. (a) Calculate the wavelength of the incident photon. 0.125 Your response differs from the correct answer by more than 10%. Double check your calculations. nm (b) Calculate the angle through which the electron scatters. 53.49 Your response differs from the correct answer by more than 10%. Double check your calculations.arrow_forwardX rays of wavelength 0.0123 nm are directed in the positive direction of an x axis onto a target containing loosely bound electrons. For Compton scattering from one of those electrons, at an angle of 156°, what are (a) the Compton shift, (b) the corresponding change in photon energy, (c) the kinetic energy of the recoiling electron, and (d) the angle between the positive direction of the x axis and the electron's direction of motion? The electron Compton wavelength is 2.43 x 10-12 m.arrow_forward
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