University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 27, Problem 27.63P
BIO Determining Diet. One method for determining the amount of corn in early Native American diets is the stable isotope ratio analysis (SIRA) technique. As corn photosynilicsizcs, it concentrates the isotope carbon-13, whereas most other plants concentrate carbon-12. Overreliance on corn consumption can then be correlated with certain diseases, because corn lacks the essential amino acid lysine. Archaeologists use a mass spectrometer to separate the 12C and 13C isotopes in samples of human remains. Suppose you use a velocity selector to obtain singly ionized (missing one electron) atoms of speed 8.50 km/s, and you want to bend them within a uniform magnetic field in a semicircle of diameter 25.0 cm for the 12C. The measured masses of these isotopes are 1.99 × 10−26kg(12C) and 2.16 × 10−26kg(13C). (a) What strength of magnetic field is required? (b) What is the diameter of the 13C semicircle? (c) What is the separation of the 12C and 13C ions at the detector at the end of the semicircle? Is this distance large enough to be easily observed?
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Ancient Meat Eating. The amount of meat in prehistoric diets can be determined by measuring the ratio of the isotopes 15N to 14N in bone from human remains. Carnivores concentrate 15N, so this ratio tells archaeologists how much meat was consumed. For a mass spectrometer that has a path radius of 12.5 cm for 12C ions (mass 1.99 * 10-26 kg), find the separation of the 14N (mass 2.32 * 10-26 kg) and 15N (mass 2.49 * 10-26 kg) isotopes at the detector.
6. A mixture of two isotopes is injected into a mass spectrometer. One isotope follows a curved path of radius R1 = 48.9 cm; the other follows a curved path of radius R2 = 51.7 cm. Find the mass ratio, m1 m2 / ,assuming that the two isotopes have the same charge and speed.
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)
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(c) What is the period of the orbit?
Chapter 27 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 27.1 - Suppose you cut off the part of the compass needle...Ch. 27.2 - Prob. 27.2TYUCh. 27.3 - Imagine moving along the axis of the...Ch. 27.4 - Prob. 27.4TYUCh. 27.5 - In Example 27.6 He+ ions with charge +e move at...Ch. 27.6 - The accompanying figure shows a top view of two...Ch. 27.7 - Figure 27.13c depicts the magnetic field lines due...Ch. 27.8 - Prob. 27.8TYUCh. 27.9 - A copper wire of square cross section is oriented...Ch. 27 - Can a charged particle move through a magnetic...
Ch. 27 - Prob. 27.2DQCh. 27 - Section 27.2 describes a procedure for finding the...Ch. 27 - The magnetic force on a moving charged particle is...Ch. 27 - A charged particle is fired into a cubical region...Ch. 27 - If the magnetic force does no work on a charged...Ch. 27 - A charged particle moves through a region of space...Ch. 27 - How might a loop of wire carrying a current be...Ch. 27 - How could the direction of a magnetic field be...Ch. 27 - A loose, floppy loop of wire is carrying current...Ch. 27 - Prob. 27.11DQCh. 27 - Each of the lettered points at the corners of the...Ch. 27 - A student claims that if lightning strikes a metal...Ch. 27 - Prob. 27.14DQCh. 27 - The magnetic force acting on a charged particle...Ch. 27 - When the polarity of the voltage applied to a dc...Ch. 27 - Prob. 27.17DQCh. 27 - Prob. 27.18DQCh. 27 - A particle with a charge of 1.24 108C is moving...Ch. 27 - A particle of mass 0.195 g carries a charge of...Ch. 27 - In a 1.25-T magnetic field directed vertically...Ch. 27 - A particle with mass 1.81 103 kg and a charge of...Ch. 27 - An electron experiences a magnetic force of...Ch. 27 - An electron moves at 1.40 106m/s through a region...Ch. 27 - CP A particle with charge 7.80 C is moving with...Ch. 27 - CP A particle with charge 5.60 nC is moving in a...Ch. 27 - A group of particles is traveling in a magnetic...Ch. 27 - A flat, square surface with side length 3.40 cm is...Ch. 27 - A circular area with a radius of 6.50 cm lies in...Ch. 27 - A horizontal rectangular surface has dimensions...Ch. 27 - An open plastic soda bottle with an opening...Ch. 27 - The magnetic field B in a certain region is 0.128...Ch. 27 - An election at point A in Fig. E27.15 has a speed...Ch. 27 - Repeat Exercise 27.15 for the case in which the...Ch. 27 - CP A 150-g ball containing 4.00 108 excess...Ch. 27 - An alpha particle (a He nucleus, containing two...Ch. 27 - In an experiment with cosmic rays, a vertical beam...Ch. 27 - BIO Cyclotrons are widely used in nuclear medicine...Ch. 27 - Prob. 27.21ECh. 27 - In a cyclotron, the orbital radius of protons with...Ch. 27 - An electron in the beam of a cathode-ray tube is...Ch. 27 - A beam of protons traveling at 1.20 km/s enters a...Ch. 27 - A proton (q = 1.60 1019 C, m = 1.67 1027 kg)...Ch. 27 - A singly charged ion of 7Li (an isotope of...Ch. 27 - Crossed E and B Fields. A particle with initial...Ch. 27 - (a) What is the speed of a beam of electrons when...Ch. 27 - A 150-V battery is connected across two parallel...Ch. 27 - A singly ionized (one electron removed) 40K atom...Ch. 27 - Singly ionized (one electron removed) atoms are...Ch. 27 - In the Bainbridge mass spectrometer (see Fig....Ch. 27 - Prob. 27.33ECh. 27 - A straight, 2.5-m wire carries a typical household...Ch. 27 - A long wire carrying 4.50 A of current makes two...Ch. 27 - An electromagnet produces a magnetic field of...Ch. 27 - A thin, 50.0-cm-long metal bar with mass 750 g...Ch. 27 - A straight, vertical wire carries a current of...Ch. 27 - Prob. 27.39ECh. 27 - The plane of a 5.0 cm X 8.0 cm rectangular loop of...Ch. 27 - The 20.0 cm 35.0 cm rectangular circuit shown in...Ch. 27 - A rectangular coil of wire, 22.0 cm by 35.0 cm and...Ch. 27 - CP A uniform rectangular coil of total mass 212 g...Ch. 27 - Both circular coils A and B (Fig. E27.44) have...Ch. 27 - Prob. 27.45ECh. 27 - Prob. 27.46ECh. 27 - Prob. 27.47ECh. 27 - A dc motor with its rotor and field coils...Ch. 27 - Figure E27.49 shows a portion of a silver ribbon...Ch. 27 - Prob. 27.50ECh. 27 - When a particle of charge q 0 moves with a...Ch. 27 - A particle with charge 7.26 108C is moving in a...Ch. 27 - Prob. 27.53PCh. 27 - Prob. 27.54PCh. 27 - Prob. 27.55PCh. 27 - The magnetic poles of a small cyclotron produce a...Ch. 27 - A particle with negative charge q and mass m =...Ch. 27 - A particle of charge q 0 is moving at speed in...Ch. 27 - Suppose the electric field between the plates in...Ch. 27 - Mass Spectrograph. A mass spectrograph is used to...Ch. 27 - A straight piece of conducting wire with mass M...Ch. 27 - CP A 2.60-N metal bar, 0.850 m long and having a...Ch. 27 - BIO Determining Diet. One method for determining...Ch. 27 - CP A plastic circular loop has radius R, and a...Ch. 27 - Prob. 27.65PCh. 27 - A wire 25.0 cm long lies along the z-axis and...Ch. 27 - A long wire carrying 6.50 A of current makes two...Ch. 27 - The rectangular loop shown in Fig. P27.68 is...Ch. 27 - Prob. 27.69PCh. 27 - Prob. 27.70PCh. 27 - The loop of wire shown in Fig. P27.71 forms a...Ch. 27 - CP A uniform bar has mass 0.0120 kg and is 30.0 cm...Ch. 27 - CALC A Voice Coil. It was shown in Section 27.7...Ch. 27 - Prob. 27.74PCh. 27 - CALC Force on a Current Loop in a Nonuniform...Ch. 27 - Quark Model of the Neutron. The neutron is a...Ch. 27 - A circular loop of wire with area A lies in the...Ch. 27 - DATA You are using a type of mass spectrometer to...Ch. 27 - Prob. 27.79PCh. 27 - DATA You are a technician testing the operation of...Ch. 27 - A particle with charge 2.15 C and mass 3.20 1011...Ch. 27 - Prob. 27.82CPCh. 27 - If a proton is exposed to an external magnetic...Ch. 27 - BIO MAGNETIC FIELDS AND MRI. Magnetic resonance...Ch. 27 - The large magnetic fields used in MRI can produce...
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