Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 3, Problem 33E
To determine
To Explain:Some X-rays of the incident wavelength are being scattered at all angles.
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Compton scattering can also occur if a photon collides with a proton (mass 1.673 * 10-27 kg) at rest. If you do an experiment of this kind using gamma-ray photons with wavelength 2.50 * 10-12 m = 2.50 pm, for what scattering angle is the wavelength of the scattered gamma rays longer than the wavelength of the incident gamma rays by (a) 0.0100% and (b) 0.0800%?
Compton used photons of wavelength 0.0711 nm.
(a) What is the energy of these incident photons?
4
(b) What is the wavelength of the photons scattered at an angle of 180°?
(c) What is the energy of the photons scattered at an angle of 180°?
Assuming a photon- free electron scattering in Compton
effect, calculate the momentum of incident photon,
scattered photon and recoiling electron. Find the angle
through which the electrons are scattered.
do=0.00248 nm
8 = 90°
Planck's constant=6.63x10-34 Js; Mass of electron =
9.1x10-31 Kg; Speed of light in vacuum = 3.0x10$ m/s
Intensity
Chapter 3 Solutions
Modern Physics
Ch. 3 - Prob. 1CQCh. 3 - Prob. 2CQCh. 3 - Prob. 3CQCh. 3 - Prob. 4CQCh. 3 - Prob. 5CQCh. 3 - Prob. 6CQCh. 3 - Prob. 7CQCh. 3 - A ball rebounds elastically from the floor. What...Ch. 3 - Prob. 9CQCh. 3 - Prob. 10CQ
Ch. 3 - Prob. 11ECh. 3 - Prob. 12ECh. 3 - Prob. 13ECh. 3 - Prob. 14ECh. 3 - Prob. 15ECh. 3 - Prob. 16ECh. 3 - Prob. 17ECh. 3 - What is the stopping potential when 250 nm...Ch. 3 - Prob. 19ECh. 3 - Prob. 20ECh. 3 - Prob. 21ECh. 3 - Prob. 22ECh. 3 - Prob. 23ECh. 3 - Prob. 24ECh. 3 - Prob. 25ECh. 3 - Prob. 26ECh. 3 - Prob. 27ECh. 3 - Prob. 28ECh. 3 - Prob. 29ECh. 3 - Prob. 30ECh. 3 - Prob. 31ECh. 3 - Prob. 32ECh. 3 - Prob. 33ECh. 3 - Prob. 34ECh. 3 - Prob. 35ECh. 3 - Prob. 36ECh. 3 - Verify that the Chapter 2 formula KE=mc2 applies...Ch. 3 - Prob. 38ECh. 3 - Prob. 39ECh. 3 - Prob. 40ECh. 3 - Prob. 41ECh. 3 - Prob. 42ECh. 3 - Prob. 43ECh. 3 - Prob. 44ECh. 3 - Prob. 45ECh. 3 - Prob. 46ECh. 3 - Prob. 47CECh. 3 - Prob. 49CECh. 3 - Prob. 50CECh. 3 - Prob. 51CECh. 3 - Prob. 52CECh. 3 - Prob. 53CECh. 3 - Prob. 54CECh. 3 - Prob. 55CE
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- If the work function of a metal is 3.2 eV, what is the maximum wavelength that a photon can have to eject a photoelectron from this metal surface?arrow_forwardWhen a hydrogen atom is in its ground state, what are the shortest and longest wavelengths of the photons it can absorb without being ionized?arrow_forwardA 0.75-nm photon is scattered by a stationary electron. The speed of the electron’s recoil is 1.5106 m/s. (a) Find the wavelength shift of the photon. (b) Find the scattering angle of the photon.arrow_forward
- What is the de Brogue wavelength of a proton whose kinetic energy is 2.0 MeV? 10.0 MeV?arrow_forwardAt what velocity will an electron have a wavelength of 1.00 m?arrow_forwardWhat is the maximum kinetic energy of photoelectrons ejected from sodium by the incident radiation of wavelength 450 nm?arrow_forward
- Q5 X-rays of wavelength 1 = 84 pm are scattered from a carbon target, and the scattered rays are detected at 158° to the incident beam. Evaluate: (i) The Compton shift of the scattered rays. (ii) The percentage of the initial x-ray photon energy that is transferred to an electron in the scattering. Take, Planck Constant h = 6.63 x 10-34 J. S Speed of light c = 3.00 x 10°m/s Mass of electron = 9.11 × 10-31kgarrow_forward5. (a) By considering the case where an atom is enclosed within a cavity containing black body radiation at temperature T, show that the Einstein A and B coefficients are related to each other through the following relationships: 9,B12 = 92B21, 8nhv³ - B21, A21 where g, and g, are the degeneracies of the two levels respectively. The spectral energy density of black body radiation is given by 8thv³ u(v) c exp(hv/kgT) –1 1 where kg is Boltzmann's constant. (b) Explain why the effective temperature of the laser levels must be negative in order for a laser to oscillate. (c) The degeneracies of the upper and lower levels of the 488.0 nm line of the argon ion laser are 6 and 4, respectively. Deduce the effective temperature of the laser levels when the population of the upper level is twice that of the lower level. (d) Describe how population inversion is achieved in a semiconductor laser diode. (e) A certain semiconductor laser diode has a length of 0.5 mm and has a high reflection coating…arrow_forwardIn a photoelectric experiment using a sodium surface, you find a stopping potential of 1.86 V for a wavelength of 300 nm and a stopping potential of 0.885 V for a wavelength of 393 nm. From these data find (a) a value for the Planck constant, (b) the work function for sodium, and (c) the cutoff wavelength Ao for sodium. (a) Number i (b) Number i (c) Number i Units Units Units >arrow_forward
- The energy of an ultraviolet light is 3.28 eV. (i) What is its wavelength? (Given: h=6.63✕10-34 Js ; e=1.602✕10-19 C). (ii) Based on the de Broglie's hypothesis, determine the velocity of the electron. (Given: h=6.63✕10-34 Js ; me=9.11✕10-31 kg).arrow_forward(dB-1) The mass of a proton is 1.67x10-27 kg and the mass of an electron is 9.11×10-31 kg. A typical car has a mass of ~1000 kg. (a) Find the de Broglie wavelength (in nm) of a proton with a kinetic energy of 2.50 eV. (b) Find the de Broglie wavelength (in nm) of a 2.50 eV electron. (c) Estimate the de Broglie wavelength of a car driving down the highway. You can round to the nearest oder of magnitude. (d) In general, what can we conclude about the de Broglie wavelengths of macroscopic objects? Are the wave qualities of macroscopic objects noticeable?arrow_forward
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