General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 19, Problem 53E
(a)
To determine
The velocity of the ion in the velocity selector.
(b)
To determine
The spatial separation between the isotopes.
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A beam of protons is fired into a region of uniform magnetic field with a speed of 80200 m/s. What uniform magnetic field strength,
applied perpendicular to the direction of the beam, will deflect the beam into a circular arc with radius of 5.51 mm?
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(a) A hydrogen atom consists of a proton and electron separated by a distance 0.5 x10 -10 m. Assume that the electron moves in a circular orbit around the proton with a frequency of 1013 cps (cps = cycles per second which is equivalent to Hertz). Find the magnetic field at the nucleus due to the moving electron
(b) What would be the magnetic field at nucleus, if there is a neutron, in addition to the proton in the nuleus?
Suppose you want to identify a bunch of particles using mass spectrometer. First, they are ionized with charge q= +1.6e-19 C. Then the particles pass through the velocity selector with a speed v= 6.7e6 m/s and enters a magnetic field B= 1.4 T. If they hit the detector 0.4 m away from the entry opening, what kind of particle are they?
Options are:
A. Deuterium (m= 3.34e-27 kg)
B. Proton (m= 1.67e-27 kg)
C. Helium 4 (m= 6.65e-27 kg)
D. Beryllium 8 (m= 13.3e-27 kg)
Chapter 19 Solutions
General Physics, 2nd Edition
Ch. 19 - Prob. 1RQCh. 19 - Prob. 2RQCh. 19 - Prob. 3RQCh. 19 - Prob. 4RQCh. 19 - Prob. 5RQCh. 19 - Prob. 6RQCh. 19 - Prob. 7RQCh. 19 - Prob. 8RQCh. 19 - Prob. 9RQCh. 19 - Prob. 10RQ
Ch. 19 - Prob. 1ECh. 19 - Prob. 2ECh. 19 - Prob. 3ECh. 19 - Prob. 4ECh. 19 - Prob. 5ECh. 19 - Prob. 6ECh. 19 - Prob. 7ECh. 19 - Prob. 8ECh. 19 - Prob. 9ECh. 19 - Prob. 10ECh. 19 - Prob. 11ECh. 19 - Prob. 12ECh. 19 - Prob. 13ECh. 19 - Prob. 14ECh. 19 - Prob. 15ECh. 19 - Prob. 16ECh. 19 - Prob. 17ECh. 19 - Prob. 18ECh. 19 - Prob. 19ECh. 19 - Prob. 20ECh. 19 - Prob. 21ECh. 19 - Prob. 22ECh. 19 - Prob. 23ECh. 19 - Prob. 24ECh. 19 - Prob. 25ECh. 19 - Prob. 26ECh. 19 - Prob. 27ECh. 19 - Prob. 28ECh. 19 - Prob. 29ECh. 19 - Prob. 30ECh. 19 - Prob. 31ECh. 19 - Prob. 32ECh. 19 - Prob. 33ECh. 19 - Prob. 34ECh. 19 - Prob. 35ECh. 19 - Prob. 36ECh. 19 - Prob. 37ECh. 19 - Prob. 38ECh. 19 - Prob. 39ECh. 19 - Prob. 40ECh. 19 - Prob. 41ECh. 19 - Prob. 42ECh. 19 - Prob. 43ECh. 19 - Prob. 44ECh. 19 - Prob. 45ECh. 19 - Prob. 46ECh. 19 - Prob. 47ECh. 19 - Prob. 48ECh. 19 - Prob. 49ECh. 19 - Prob. 50ECh. 19 - Prob. 51ECh. 19 - Prob. 52ECh. 19 - Prob. 53ECh. 19 - Prob. 54ECh. 19 - Prob. 55ECh. 19 - Prob. 56ECh. 19 - Prob. 57ECh. 19 - Prob. 58ECh. 19 - Prob. 59ECh. 19 - Prob. 60ECh. 19 - Prob. 61E
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- An lithium nucleus has a velocity of v = (4.76 x 106 m/s) i – (2.75 x 106 m/s) j and travels through a region of space with a uniform magnetic field of B = (0.667 T) k This particle has a charge of +3e = +4.806 x 10 19 C and seven nucleons in the nucleus meaning it has a mass of 7u = 7(1.66 x 1027 kg) = 11.6 x 10-27 kg (a) Find the magnetic force on this particle. (HINT: You can use the cross product or the magnitude and right-hand-rule. If you use the magnitude and RHR, be sure to calculate the magnitude and angle of the velocity first) (b) This force will provide a centripal force on the particle and cause it to circle (or orbit) around the field lines. What would be the radius of this circular path? (c) What is the period of the orbit?arrow_forwardA common way to focus a beam of charged particles is to use an electric field and a magnetic field together. Based on the relative strength and orientation of the two fields, you can tune the Coulomb and Lorentz forces to direct the beam of particles. This technique is common in mass spectrometers and scanning electron microscopes. You want to focus a beam of positively charged particles moving in the -z direction. The particles have a mass of 3.30e-23 kg and you orient a 0.341 T magnetic field in the +x direction. What direction do the particles feel the Lorentz force from the magnetic field? The particle is moving with a velocity of 1.97e+05 and has a charge of 1.00e-16 C. What is the magnitude of the Lorentz force on the particle S in Newton? FLorentz %D If you want the Lorentz force and the Coulomb force to exactly cancel each other, what magnitude of electric field should you apply in N E = What direction should you orient the electric field so that the Coulomb force and the…arrow_forwardAn Iron-Nickel sample from a meteorite was placed into a velocity selector and mass spectrometer. Experimenters expect 3 primary isotopes: 56FE, 58Nİ, & 60NI. Positive ions are accelerated by an applied potential (AV) of 3300 Volts which is the same potential difference used to create the electric field in the velocity selector, where d is 1.1 cm. 1. On the figure provided, in the velocity selector region, (A) draw the direction of the electric field. (B) Draw the necessary corresponding magnetic field to produce a velocity selector in the velocity selector region and, assuming the magnetic field is the same in the mass spectrometer, the mass spectrometer region. (C) Draw the approximate path for a positive ions within the mass spectrometer region. VELOLITY SELECTOR 2. Assuming the velocity selector is designed for singly- charged 58Ni, what must be the average magnetic field in this region? Assume our velocity selector is a bit leaky and lets the other 2 isotopes through to the mass…arrow_forward
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