Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
12th Edition
ISBN: 9781259587399
Author: Eugene Hecht
Publisher: McGraw-Hill Education
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Chapter 41, Problem 29SP
To determine
The speed of an electron having kinetic energy
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An electron is accelerated from rest through a potential difference of 2.5 × 106 V. (a) What is
the relativistic kinetic energy of the electron? (b) What is the speed of the electron?
(c) What is the total relativistic energy of the electron? Given that the magnitude of the
charge of the electron is 1.602 × 10-19 C and the mass of the electron is 9.11 × 10-3¹ kg.
that has
1 eV=
Find the speed of an electron
a kinetic energy of 2.09 eV.
1.602 x 10-19 J.
Answer in units of m/s. Answer in units of
m/s.
Problem 17: An evacuated tube uses a potential difference of AV= 0.56 kV to accelerate electrons, which then hit a copper plate and
produce X-rays.
. Part (a) Write an expression for the non-relativistic speed of these electrons v in terms of e, AV, and m, assuming the electrons start from rest.
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Part (b) Calculate the non-relativistic speed of these electrons v in m/s.
Chapter 41 Solutions
Schaum's Outline of College Physics, Twelfth Edition (Schaum's Outlines)
Ch. 41 - 16. Determine γ when the speed of a spacecraft is...Ch. 41 - Prob. 17SPCh. 41 - 41.18 [I] A spaceship is seen by a stationary...Ch. 41 - 41.19 [I] A space probe that was manufactured to...Ch. 41 - Prob. 20SPCh. 41 - Prob. 21SPCh. 41 - Prob. 22SPCh. 41 - 23. A proton has a mass of 1.672 6 × 10–27 kg and...Ch. 41 - Prob. 24SPCh. 41 - 41.25 [I] A proton has a mass of kg and is...
Ch. 41 - 26. At what speed must a particle move for γ to be...Ch. 41 - 27. A particle is traveling at a speed υ such that...Ch. 41 - 41.28 [I] Compute the rest energy of an...Ch. 41 - Prob. 29SPCh. 41 - 41.30 [II] A proton is accelerated to a kinetic...Ch. 41 - Prob. 31SPCh. 41 - 41.32 [II] A certain strain of bacteria doubles in...Ch. 41 - 41.33 [II] A certain light source sends out ...Ch. 41 - 41.34 [II] The insignia painted on the side of a...Ch. 41 - 41.35 [II] As a spacecraft moving at 0.92c travels...Ch. 41 - 41.36 [III] Find the speed and momentum of a...
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- A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 29 x 106 m/s, causing the two particles to annihilate.If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 10-4 u, or 9.109 x 10-31 kg.arrow_forwardIn this problem, we will try to understand why chemical reactions cannot power the Sun, but nuclear reactions can. The energy scale of chemical reactions is a few eV, where eV is a unit of energy called an electron volt. 1 eV = 1.602 x 10-19 J. A typical chemical reaction involves an energy change of ~0.1 to 10 eV. In contrast, a nuclear reaction typically involves a change in energy of order a few MeV (mega electron volts; a factor of a million larger). Suppose that the Sun has a constant luminosity throughout its life, equal to its current luminosity of L⊙=3.827×1026J/s . Suppose also that the Sun is made entirely of hydrogen (or just protons, since the mass of the electron is about 2000 times smaller and is negligible in comparison). If every pair of two protons in the Sun undergo a one-time chemical reaction that nets ~1 eV of energy, how long would it take (in years) to expend all the available chemical energy?arrow_forwardAn evacuated tube uses a potential difference of ΔV = 0.38 kV to accelerate electrons, which then hit a copper plate and produce X-rays Write an expression for the non-relativistic speed of these electrons v in terms of e, ΔV, and m, assuming the electrons start from rest. Calculate the non-relativistic speed of these electrons v in m/s.arrow_forward
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- In an x-ray tube, high-speed electrons are slammed into a lead target, giving off x-rays. If the electrons are accelerated from rest through a potential difference of 190 000 volts, what speed do they have when they strike the target? ( q e = 1.6 × 10 −19 C, m e = 9.11 × 10 −31 kg, and c = 3.00 × 10 8 m/s)arrow_forwardWhat is the velocity of a proton with a kinetic energy of 3.4 eV. Give your answers in 105 m/s with 3 decimal places.arrow_forward-9 How much energy is contained in particle with a mass of m= 1 × 10-⁹ kg? O 9 x 1033 J O 9 x 10¹6 J O 3 x 107 J O 9 × 107 Jarrow_forward
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