Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 30, Problem 49PQ
A proton and a helium nucleus (consisting of two protons and two neutrons) pass through a velocity selector and into a mass spectrometer. The radius of the proton’s circular path is rp. Find an expression for the radius r of the helium nucleus’s path in terms of rp. (You may assume the mass of a proton is roughly equal to the mass of a neutron, and the helium nucleus has the same speed as the proton.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Consider an experimental setup where charged particles (electrons or protons) are first accelerated by an electric field and then injected into a region of constant magnetic field with a field strength of 0.45 T.
1. What is the potential difference, in volts, required in the first part of the experiment to accelerate electrons to a speed of 6.1 × 107 m/s?
2. Find the radius of curvature, in meters, of the path of a proton accelerated through this same potential after the proton crosses into the region with the magnetic field.
3. What is the ratio of the radii of curvature for a proton and an an electron traveling through this apparatus?
The figure below shows two current segments. The lower segment carries current i1 = 0.44 A and includes a circular arc with radius 6.8 cm, angle 180°, and center point P. The upper segment carries current i2 = 2i1 and includes a circular arc with radius 4.8 cm, angle 120°, and the same center point P. What are the (a) magnitude and (b) direction (into or otherwise of the page) of the net magnetic field for the indicated current directions? What are the (c) magnitude and (d) direction (into or otherwise of the page) of if i1 is reversed?
A charged particle enters the magnetic field of magnitude
0.35 T of a mass spectrometer at a speed of 1.79 x 10 m/s.
If it travels in a circle with radius 10.7 cm, find the mass-
to-charge ratio and identify the particle from the table.
m (kg)
1.67 x 10-27
3.35 x 10-7
5.01 x 10-27
q (C)
1.60 x 10-
1.60 x 10-
1.60 x 10-9
3.20 x 10-9
Nucleus
Hydrogen
Deuterium
Tritium
m/q (kg/C)
1.04 x 10
2.09 x 10
3.13 x 10-
Helium-3
5.01 x 10-27
1.57 x 10
Chapter 30 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 30.2 - Prob. 30.1CECh. 30.3 - Prob. 30.2CECh. 30.4 - Prob. 30.3CECh. 30.8 - Cosmic rays are high-energy charged particles...Ch. 30.9 - The Earths Van Allen belts (Fig. 30.34) are a...Ch. 30.10 - Prob. 30.6CECh. 30.10 - Prob. 30.7CECh. 30.12 - Prob. 30.8CECh. 30 - A yoga teacher tells her students to imagine their...Ch. 30 - Prob. 2PQ
Ch. 30 - Prob. 3PQCh. 30 - Prob. 4PQCh. 30 - Prob. 5PQCh. 30 - Copy Figure P30.6 and sketch the magnetic field...Ch. 30 - Prob. 7PQCh. 30 - Prob. 9PQCh. 30 - Figure P30.10 shows a circular current-carrying...Ch. 30 - Figure P30.11 shows three configurations of wires...Ch. 30 - Review A proton is accelerated from rest through a...Ch. 30 - An electron moves in a circle of radius r at...Ch. 30 - One common type of cosmic ray is a proton...Ch. 30 - Prob. 15PQCh. 30 - Prob. 16PQCh. 30 - Prob. 17PQCh. 30 - A Two long, straight, parallel wires are shown in...Ch. 30 - Prob. 19PQCh. 30 - Two long, straight, parallel wires carry current...Ch. 30 - Prob. 21PQCh. 30 - Two long, straight wires carry the same current as...Ch. 30 - Prob. 23PQCh. 30 - A wire is bent in the form of a square loop with...Ch. 30 - Prob. 25PQCh. 30 - A Derive an expression for the magnetic field...Ch. 30 - Prob. 27PQCh. 30 - Prob. 28PQCh. 30 - Prob. 29PQCh. 30 - Prob. 30PQCh. 30 - Prob. 31PQCh. 30 - Prob. 32PQCh. 30 - Prob. 33PQCh. 30 - Prob. 34PQCh. 30 - Normally a refrigerator is not magnetized. If you...Ch. 30 - Prob. 36PQCh. 30 - Prob. 37PQCh. 30 - The magnetic field in a region is given by...Ch. 30 - Prob. 39PQCh. 30 - Prob. 40PQCh. 30 - Prob. 41PQCh. 30 - The velocity vector of a singly charged helium ion...Ch. 30 - Prob. 43PQCh. 30 - Can you use a mass spectrometer to measure the...Ch. 30 - In a laboratory experiment, a beam of electrons is...Ch. 30 - Prob. 46PQCh. 30 - Prob. 47PQCh. 30 - Prob. 48PQCh. 30 - A proton and a helium nucleus (consisting of two...Ch. 30 - Two ions are accelerated from rest in a mass...Ch. 30 - Prob. 51PQCh. 30 - Prob. 52PQCh. 30 - A rectangular silver strip is 2.50 cm wide and...Ch. 30 - For both sketches in Figure P30.56, there is a...Ch. 30 - A 1.40-m section of a straight wire oriented along...Ch. 30 - Professor Edward Ney was the founder of infrared...Ch. 30 - Prob. 59PQCh. 30 - A wire with a current of I = 8.00 A directed along...Ch. 30 - Prob. 61PQCh. 30 - The triangular loop of wire shown in Figure P30.62...Ch. 30 - Prob. 63PQCh. 30 - Consider the wires described in Problem 63. Find...Ch. 30 - Prob. 65PQCh. 30 - Prob. 66PQCh. 30 - A Three parallel current-carrying wires are shown...Ch. 30 - Prob. 68PQCh. 30 - Prob. 69PQCh. 30 - Prob. 70PQCh. 30 - Prob. 71PQCh. 30 - Prob. 72PQCh. 30 - A circular coil 15.0 cm in radius and composed of...Ch. 30 - Prob. 74PQCh. 30 - Prob. 75PQCh. 30 - Prob. 76PQCh. 30 - Prob. 77PQCh. 30 - Two long, straight, current-carrying wires run...Ch. 30 - Prob. 79PQCh. 30 - Prob. 80PQCh. 30 - Prob. 81PQCh. 30 - Prob. 82PQCh. 30 - Two infinitely long current-carrying wires run...Ch. 30 - Prob. 84PQCh. 30 - Prob. 85PQCh. 30 - Prob. 86PQCh. 30 - A charged particle with charge q and velocity...Ch. 30 - Prob. 88PQCh. 30 - Prob. 89PQCh. 30 - A mass spectrometer (Fig. 30.40, page 956)...Ch. 30 - Three long, current-carrying wires are parallel to...Ch. 30 - Prob. 92PQCh. 30 - A current-carrying conductor PQ of mass m and...Ch. 30 - A proton enters a region with a uniform electric...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Can you use a mass spectrometer to measure the mass of a proton? Can you use a mass spectrometer to measure the mass of a neutron?arrow_forwardProblem 9: An electric current is flowing through a long cylindrical conductor with radius a = 0.35 m. The current density J= 5.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB ©theexpertta.com Part (a) When r is less than a, express the current inside the imaginary cylinder I, in terms of r and J. a Part (b) Express the magnitude of the magnetic field B at r in terms of the currenı through the imaginary cylinder Ir and its radius r. Part(c) Express B in terms of J and r Part (d) For r 0.5 a, calculate the numerical value of B in Tesla. Part (e) When r is greater than a, express the current inside the imaginary cylinder in terms ofr, a and J Δ Part (f) Express the magnitude of the magnetic field, B, atr > a in terms of land Part (g) Express B in terms ofJ, a andr Δ Part (h) For r= 2 a, calculate the numerical value of B in Tesla. B(r-2a)- tan( cos0) cotan)asin) acos(0 sin 4 5 6 atan acotan sinhO cosh) tanh0 *1 23 0…arrow_forwardA particle of +e charge is analyzed with a mass spectrometer that has a magnetic field B = 0.050 T. If the particle has a mass of m=2.0×10−27 kg and a speed of 8.0×105 m/s, what is the radius of the path? Express your answer with the appropriate units.arrow_forward
- kg. Consider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 945 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.900 T. Calculate the radius r of the path for a singly charged ion with mass m = 2.06 x 10-26 mm X x P x r Bo, in X x X X X X Photographic plate Bin Velocity selector x x x x + + 1₂ E x x x x X--- --- V X X x || 9 XA I x I x X X x x x X Xarrow_forwardConsider the mass spectrometer shown schematically in the figure below. The electric field between the plates of the velocity selector is 925 V/m, and the magnetic fields in both the velocity selector and the deflection chamber have magnitudes of 0.950 T. Calculate the radius r of the path for a singly charged ion with mass m = 2.20 x 10 -26 kg. mm P Photographic plate Bin Velocity selector Bo, in x x x x X x +1 + + + + x E x x x X x x X_ ↑> XA XA x XA x XA I I I I x x x x x x x xarrow_forwardA negative charge of q = -2.2 * 10-17 C and m = 2.3 * 10-26 kg enters a magnetic field B = 1.9 T with initial velocity v = 270 m/s as shown in the attached image. The magnetic field points into the screen. Express the radius R, of the circular motion in terms of the centripetal acceleration a and the speed v. Calculate the numerical value of the radius R in meters.arrow_forward
- An electric current is flowing through a long cylindrical conductor with radius a = 0.75 m. The current density J = 9.5 A/m2 is uniform in the cylinder. In this problem we consider an imaginary cylinder with radius r around the axis AB. 1. For r = 0.5 a, calculate the numerical value of B in Tesla. 2. Express the magnitude of the magnetic field, B, at r > a in terms of I and r. 3. Express B in terms of J, a and r. 4. For r = 2 a, calculate the numerical value of B in Tesla.arrow_forwardThe strengths of the fields in the velocity selector of a Bainbridge mass spectrometer are B = 0.55 T and E = 1 x 105 V/m, and the strength of the magnetic field that separates the ions is Bo=0.75 T. A stream of singly charged Li ions is found to bend in a circular arc of radius 2.32 cm. What is the mass of the Li ions? m x10 -26 kgarrow_forwardA proton is moving under the combined influence of an electric field (E = 2569 V/m) and a magnetic field (B = 2.45 T), as shown in the figure. Assuming the proton is moving in the direction shown in the figure with speed 255 m/s at the instant it enters the crossed fields, what is the acceleration of the proton? (units are in m/s^2)arrow_forward
- An electromagnet has 500 turns, and a current of 2 amperes flows through it. Calculate the magnetic field strength produced by the electromagnet using the formula B = μ.nl (where B is the magnetic field strength, μ, is the permeability of free space, n is the number of turns per unit length, and I is the current).arrow_forwardA mass spectrometer (see figure below) operates with a uniform magnetic field of 21.0 mT and an electric field of 3.55 ✕ 103 V/m in the velocity selector. What is the radius of the semicircular path of a doubly ionized alpha particle (ma = 6.64 ✕ 10−27 kg)?arrow_forwardcan you please ans (a) (b) (c)?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY