Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
5th Edition
ISBN: 9781305586871
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Question
Chapter 29, Problem 49P
(a)
To determine
The size of the quantum jump in the electron’s energy.
(b)
To determine
The energy of the electron in blackbody
(c)
To determine
The frequency of the microwave radiation.
(d)
To determine
The wavelength of the photon.
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An electron entering Thomson’s e/m apparatus has an initial velocity (in horizontal direction only) of 4.0 x 106 m/s. In the lab is a permanent horseshoe magnet of strength 12 mT, which you would like to use. (a) What electric fi eld will you need in order to produce zero defl ection of the electrons as they travel through the apparatus? (b) The length of nonzero E and B fi elds is 2.0 cm. When the magnetic fi eld is turned off, but the same electric field remains, how far in the vertical direction will the electron beam be deflected over this length?magnetic fi eld is turned off, but the same electric fi eld remains, how far in the vertical direction will the electron beam be defl ected over this length
In 1897 J.J Thomson ”discovered” the electron by measuring the charge-to-mass ratio of ”cathode rays” (actually, streams of electrons, with charge q and mass m) as follows : (a) First he passed the beam through uniform crossed electric and magnetic fields E and B (mutually perpendicular, and both of them perpendicular to the beam), and adjusted the electric field until he got zero deflection. Derive the speed of the particles (in terms of E and B).(b) Then he turned off the electric field, and measured the radius of curvature, R, of the beam as deflected by the magnetic field alone. In terms of E, B, and R, what is the charge to mass ratio (q/m) of the particles ?
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Chapter 29 Solutions
Principles of Physics: A Calculus-Based Text, Hybrid (with Enhanced WebAssign Printed Access Card)
Ch. 29.2 - Prob. 29.1QQCh. 29.2 - Prob. 29.2QQCh. 29.4 - Prob. 29.3QQCh. 29.5 - Prob. 29.4QQCh. 29.6 - Prob. 29.5QQCh. 29.6 - Prob. 29.6QQCh. 29 - Prob. 1OQCh. 29 - Prob. 2OQCh. 29 - Prob. 3OQCh. 29 - Prob. 4OQ
Ch. 29 - Prob. 5OQCh. 29 - Prob. 6OQCh. 29 - Prob. 7OQCh. 29 - Prob. 8OQCh. 29 - Prob. 9OQCh. 29 - Prob. 10OQCh. 29 - Prob. 1CQCh. 29 - Prob. 2CQCh. 29 - Prob. 3CQCh. 29 - Prob. 4CQCh. 29 - Prob. 5CQCh. 29 - Prob. 6CQCh. 29 - Prob. 7CQCh. 29 - Prob. 8CQCh. 29 - Prob. 9CQCh. 29 - Prob. 10CQCh. 29 - Prob. 1PCh. 29 - Prob. 2PCh. 29 - Prob. 3PCh. 29 - Prob. 4PCh. 29 - Prob. 5PCh. 29 - Prob. 6PCh. 29 - Prob. 7PCh. 29 - Prob. 8PCh. 29 - Prob. 10PCh. 29 - Prob. 11PCh. 29 - Prob. 12PCh. 29 - Prob. 13PCh. 29 - Prob. 14PCh. 29 - Prob. 15PCh. 29 - Prob. 16PCh. 29 - Prob. 17PCh. 29 - Prob. 18PCh. 29 - Prob. 19PCh. 29 - Prob. 20PCh. 29 - Prob. 21PCh. 29 - Prob. 22PCh. 29 - Prob. 23PCh. 29 - Prob. 24PCh. 29 - Prob. 25PCh. 29 - Prob. 26PCh. 29 - Prob. 27PCh. 29 - Prob. 28PCh. 29 - Prob. 29PCh. 29 - Prob. 30PCh. 29 - Prob. 31PCh. 29 - Prob. 32PCh. 29 - Prob. 33PCh. 29 - Prob. 34PCh. 29 - Prob. 35PCh. 29 - Prob. 36PCh. 29 - Prob. 37PCh. 29 - Prob. 38PCh. 29 - Prob. 39PCh. 29 - Prob. 40PCh. 29 - Prob. 41PCh. 29 - Prob. 42PCh. 29 - Prob. 43PCh. 29 - Prob. 44PCh. 29 - Prob. 45PCh. 29 - Prob. 46PCh. 29 - Prob. 47PCh. 29 - Prob. 48PCh. 29 - Prob. 49PCh. 29 - Prob. 50PCh. 29 - Prob. 51PCh. 29 - Prob. 52PCh. 29 - Prob. 53PCh. 29 - Prob. 54PCh. 29 - Prob. 55PCh. 29 - Prob. 57PCh. 29 - Prob. 58PCh. 29 - Prob. 59PCh. 29 - Prob. 60PCh. 29 - Prob. 61PCh. 29 - Prob. 63PCh. 29 - Prob. 64PCh. 29 - Prob. 65PCh. 29 - Prob. 66P
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- In bohr model of hydrogen atom the electron circulates around the nucleus in a circular path of radius 5.29×10^-11m at a frequncy of 6.60×10^15 hz what valur of B is setup at center of orbitarrow_forwardA-2.0-mC charge is moving with a velocity given asv=(20,0,-15)m/s in the presence of a magnetic fieldB=(2,-7,3)Tesla.What is the x-component of themagnetic force on that charge?You may usearrow_forwardJ. J. Thomson is best known for his discoveries about the nature of cathode rays. His other important contribution was the invention, together with one of his students, of the mass spectrometer, a device that measures the ratio of mass m to (positive) charge q of an ion. Figure < 1 of 1 V B, R m + + + ++ +arrow_forward
- What is the kinetic energy of an electron that passes undeviated through perpendicular electric and magnetic fields if E = 4.0 kV/m and B = 8.0 mT? 1.4 eV 0.65 eV O 0.54 eV 0.84 eV O 0.71 eVarrow_forwardElectrons passes undeviated through crossed electric and magnetic fields. If E = 5 × 10¹ N/c and B = 4 × 10-4 Wb/m² find the velocity of electrons.arrow_forwardElectrons enter a magnetic field traveling at v, = vỹ. The constant, uniform magnetic field B = 0.75 2 T acts as a filter curving the electrons to a small gap that only allows specific electron energies. The source of electrons enters the filter as a beam that is 15 micrometers in diameter and have a range of energies from 5-25 meV. The filter redirects the beam, as pictured, to the right v = và but does not speed them up. If the filter is to further narrow the range of energies from 5-25 meV to 10-12 meV, find the dimensions of the gap. In the picture, calculate ymin and ymer, both of which can be assumed to be equal to the radius of the paths taken within the magnetic field. %3D The beam being focused to 15 um at the start can be assumed to be a point source and take circular paths within the magnetic field. Outgoing "Filtered" Electrons Blocked Electrons -不: Y Vma Incoming Electronsarrow_forward
- We know that electric charge is quantized and conserved. Can we say the same about Magnetic poles? Explain.arrow_forwardA mystery particle enters the region between the plates of a Thomson apparatus as shown in Figure 4.6. The deflection angle θ is measured to be 0.20 radians (downwards) for this particle when V = 2000 V, ℓ = 10.0 cm, and d = 2.00 cm. If a perpendicular magnetic field of magnitude 4.57 × 10−2 T is applied simultaneously with the electric field, the particle passes through the plates without deflection. (a) Find q/m for this particle. (b) Identify the particle. (c) Find the horizontal speed with which the particle entered the plates. (d) Must we use relativistic mechanics for this particle?arrow_forwardFour years after publication of the Schrödinger equation, Lev Davidovich Landau, age 23, solved the equation for a charged particle moving in a uniform magnetic field. A single electron moving perpendicular to a field B can be considered as a model atom without a nucleus, or as the irreducible quantum limit of the cyclotron. Landau proved that its energy is quantized in uniform steps of eħB/me. Gerald Gabrielse traps a single electron in an evacuated centimeter-size metal can cooled to a temperature of 86 mK. In a magnetic field of magnitude 5.29 T, the electron circulates for hours in its lowest energy level, generating a measurable signal as it moves. Evaluate the size of a quantum jump in the electron's energy. State your answer to the nearest micro electron Volt (ueV).arrow_forward
- In the classical model of the hydrogen atom, an excited electron orbits the proton in the circular orbit (quantum number n = 1) of 0.053 nm. What is the orbital frequency (in Hz)? (Proton is at rest)arrow_forwardThe velocity of electron in the first Bohr orbit of radius 0.5 A.U. is 2.24 x 106 m/s. Calculate the period of revolution of the electron in the same orbit.arrow_forwardIn a laboratory experiment designed to duplicate Thomson’s determination of qe / me , a beam of electrons having a velocity of 6.00×107 m/s enters a 5.00×10−3 T magnetic field. The beam moves perpendicular to the field ina path having a 6.80-cm radius of curvature. Determine qe / me from these observations, and compare the result with the known value.arrow_forward
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