Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Chapter 3, Problem 43E
To determine
To Calculate: The mass of the less-detached participant.
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Problem 3:
(a) Consider an object of constant mass m acted on by a three-force F. According to special relativity,
yma + (F. v)v/c2. Hint: Compute E to notice that it appears in dP, and show that
prove that F
dE
dt
F.v.
(b) In a hot star, a multiply-ionized, hydrogen-like atom with a single remaining electron produces a
series of spectral lines as described by the Bohr model. The series corresponds to electronic transitions that
1
terminate in the same final state. The longest and shortest wavelengths of the series are 63.3 nm and 22.8
nm, respectively. What is the ion?
(a) Calculate the speed of an electron that is in the n = 1 orbit of a hydrogen atom, and give your answerv as a fraction of the speed of light in empty space c, for example, v = 0.5 if the answer werev = c/2 = 1.50 × 108 m/s. (It isn’t.)(b) How many nanometers would be the wavelength of the photon emitted when the electron in a hydrogenatom jumps from the n = 3 orbit to the n = 2 orbit? This is the Hα line, and its light is scarlet, the color offresh human blood.(c) How many nanometers would be the wavelength of the photon emitted when the electron in a hydrogenatom jumps from the n = 2 orbit to the n = 1 orbit?(d) How many nanometers would be the wavelength of a photon that would have the minimum amount ofenergy needed to ionize any hydrogen atom? (Hint: Electromagnetic radiation with this wavelength or shorteris called extreme ultraviolet radiation.(e) How many electron-volts (eV) would the electron in part (7)(d) need to have?
(a) The lifetime of a highly unstable nucleus is 10−20 s . What is the smallest uncertainty in its decay energy? (b) Compare this with the rest energy of an electron.
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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- please can you do ıt fastarrow_forward(a) An electron and a 0.0400 kg bullet each have a velocity of magnitude 510 m/s, accurate to within 0.0100%. Within what lower limit could we determine the position of each object along the direction of the velocity? (Give the lower limit for the electron in mm and that for the bullet in m.) for the electron 0.01136 for the bullet 2.585e-34 mm m (b) What If? Within what lower limit could we determine the position of each object along the direction of the velocity if the electron and the bullet were both relativistic, traveling at 0.450c measured with the same accuracy? (Give the lower limit for the electron in nm and that for the bullet in m.) for the electron for the bullet 4.2899 X nm 9.76445e-42 X marrow_forwardThe degeneracy pressure of the electrons can stabilize the collapse of a star due to gravity by equating the gravitational inward pressure with the outward electron gas degeneracy pressure. These cold stars called white dwarfs have small radii compared to their original size and this radius decreases as the original mass of the star increases. As the mass of a star increases, the electron energy increases to a point in which their energy has to be treated relativistically. (a) Evaluate the degeneracy pressure for ultra-relativistic electrons (problem 2, above). (b) As the pressure increases, the reaction e − + p → n + ν takes place. The neutrinos (ν) escape as matter is transparent to them, electrons and protons convert to neutrons until we are left with a neutron star. Using your expression for the degeneracy pressure obtained in (a) above, equate the gravitational pressureto the neutron degeneracy pressure (replace the electron’s mass in your degeneracy pressure expression from (a)…arrow_forward
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