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?
For this question, we have to 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 0.55 T. What is the potential difference, in volts, required to accelerate electrons to a speed of 5.8 * 10^(7) ? Also what is 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?
This is not a graded question
The strengths of the fields in the velocity selector of a Bainbridge mass spectrometer are B = 0.500 T and E = 1.2 × 105 V/m, and the strength of the magnetic field that separates the ions is Bo = 0.750 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?
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_forwardBacteria can be identified by using a time-of-flight mass spectrometer to measure their chemical composition. First, a very short laser pulse vaporizes and ionizes a bacterial sample. The positive ions are accelerated, in vacuum, through a -15 kV potential difference, and then they travel at constant speed through a 1.5-m-long drift tube to a detector that records their arrival times. An ion's time of flight depends on its mass, so a record of the arrival times can be used to determine the masses of the biomolecules that were released from the bacteria. Each type of bacteria has a unique set of proteins with different masses, so the mass spectrum is a fingerprint for identifying bacteria. Part A What is the mass in kDa of an ionized protein that is detected 51 us after the laser pulse? You can assume that the protein is singly ionized (g = +e) which is mostly true in practice. You can also neglect the time needed to accelerate through the potential difference because it is very small…arrow_forwardA cyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. Deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34×10−27kg. The deuterons exit the cyclotron with a kinetic energy of 6.10 MeV . What is the speed of the deuterons when they exit? If the magnetic field inside the cyclotron is 1.25 T, what is the diameter of the deuterons' largest orbit, just before they exit? If the beam current is 380 μA how many deuterons strike the target each second?arrow_forward
- A cyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce radioactive isotopes for a medical procedure. Deuterons are nuclei of deuterium, an isotope of hydrogen, consisting of one neutron and one proton, with total mass 3.34 x 10-27 kg. The deuterons exit the cyclotron with a kinetic energy of 5.00 MeV.a. What is the speed of the deuterons when they exit?b. If the magnetic field inside the cyclotron is 1.25 T, what is the diameter of the deuterons’ largest orbit, just before they exit?c. If the beam current is 400 μA, how many deuterons strike the target each second?arrow_forwardIn the figure provided, an electron with speed v = 3.98×107 m/s travels between two parallel charged plates. If the plates are separated by a distance d= 3.50 cm and are charged by a 390. V battery, what magnetic field strength is required to allow the electron to pass between the plates without being deflected?arrow_forwardA 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 10arrow_forward
- A 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_forwardA proton with kinetic energy Ep moves in a vacuum on a circle with radius R = 1m in a homogeneous, constant magnetic field with induction B. What will be the radius of the circle for an alpha particle whose kinetic energy Ea is the same as the kinetic energy of the proton Ea = Ep?NOTE: ignore the relativistic corrections and assume that the mass of the alpha particle is four times the mass of the proton, and the electric charge of the alpha particle is twice as large as the electric charge of the protonarrow_forwardkg. 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_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_forwardRecall that we can analyze the nature of particles with a velocity selector and mass spectrometer. Suppose we know that the charge of the particle we’re experimenting with is that of an electron but we don’t know their speed and we don’t know their mass. a) The velocity selector is constructed to have a magnetic field of 0.15T pointing into the paper plane and an electric field of 70N/C pointing downward. What is the speed of negatively charged particles if they don’t experience any deflection? b) Suppose that those particles that are not deflected then enter a magnetic field of 3T pointing into the plane (noelectric field). If we measure a diameter of the circular orbit in this magnet field of 1cm what is the mass of the particle?arrow_forwardAn positron (electron with a positive charge) starts at rest and accelerates through an electric field established by a set of parallel plates with a potential difference of 35 V. (e = 1.6 × 10-19 C, melectron = 9.1 × 10-31 kg) Instead of hitting the negative plate, the positron, travelling East, escapes the parallel plates through a small hole and enters a magnetic field of 0.75 T directed downward. What will be the magnetic force (magnitude and direction) on the charge?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 Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY