PHYSICS F./SCI... W/MOD V.II W/KIT
4th Edition
ISBN: 9780134819884
Author: GIANCOLI
Publisher: PEARSON
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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).
In 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.
O
Chapter 37 Solutions
PHYSICS F./SCI... W/MOD V.II W/KIT
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_forwardd) 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)arrow_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
- (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_forwardA) 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_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_forward
- (5) The total power output from a star is 4.5 x 1026 W. Assuming that all the emitted radiation has a wavelength λ = 550 nm, calculate the number of photons that are emitted per second.arrow_forwardA photon with wavelength X scatters off an electron at rest, at an angle with the incident direction. The Compton wavelength of the electron Ac = 0.0024 nm. a) For λ = 0.0006 nm and 0 = 53 degrees, find the wavelength X' of the scattered photon in nanometres. b) Obtain a formula for the energy of the electron Ee after collision, in terms of the universal constants h, c and the variables X, X' and Ac. The answer must be expressed in terms of these variables only. (Please enter an algebraic expression using latex format; do not input any numerical values) c) Using the energy conservation condition, find the value of the electron energy Ee after scattering in units of keV. d) Write an algebraic expression for the electron's momentum pe in terms of its energy Ee, its mass me and the speed of light c. e) What is the de Broglie wavelength of the scattered electron ? Express your answer in terms of Ee, me, and X and c. f) Find the value of the de Broglie wavelength of the scattered electron…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
- . (a) Find the momentum of a 3.9 cm wavelength microwave photon. p: 1.699×10-23 kg m/s (b) Discuss why you expect the answer to (a) to be very small. The wavelength of microwave photons is large is very small ! No, that's only partially correct. so the momentum they carryarrow_forwardX-ray photons of wavelength 0.0248 nm are incident on a target and the Compton-scattered photons are observed at 80.0° above the photons' incident line of travel. [Use relativistic units for this problem!](a) What is the momentum of the incident photons? eV/c(b) What is the momentum (magnitude and angle) of the scattered electrons? eV/c°magnitude=61802.35 angel=?arrow_forwardX-ray of wavelength 0.150 nm collides with an electron at rest. The scattered photon moves off at anangle of 85.0 0from the direction of the incident photon.(a) Calculate the Compton shift in wavelength. (b) Calculate the wavelength of the scattered photon.arrow_forward
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