Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 26, Problem 46P
To determine
The proof that radius of orbit in cyclotron is proportional to square root of number of orbits completed.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Considering electron and proton as two charged particles separated by d = 5.9 × 10-11 m calculate the gravitational force between the proton and
electron and find its ratio to the Coulomb force. Take the mass of the proton 1.7 x 10-27 kg, the mass of the electron 9.1 x 10-31 kg, the value of
= 9x10⁹ m/F. Give the answer for
the universal gravitational constant 6.7 x 10-11 N kg 2m-2, the electron charge -1.6 x 10-¹9 C and
the gravitational force in 10-47 N.
1
Απερ
Answer:
What is the repulsive force (in N) between two protons if the distance between them is 171nm?
Suppose a cyclotron is operated at an oscillator frequency of 11.2 MHz and has a dee radius 41.9 cm. Estimate the total path length traveled by a deuteron in the cyclotron during the (entire) acceleration process. Assume that the accelerating potential between the dees is 60.4 kV. The deuteron mass is m = 3.34 × 10-27 kg.
Chapter 26 Solutions
Physics for Scientists and Engineers
Ch. 26 - Prob. 1PCh. 26 - Prob. 2PCh. 26 - Prob. 3PCh. 26 - Prob. 4PCh. 26 - Prob. 5PCh. 26 - Prob. 6PCh. 26 - Prob. 7PCh. 26 - Prob. 8PCh. 26 - Prob. 9PCh. 26 - Prob. 10P
Ch. 26 - Prob. 11PCh. 26 - Prob. 12PCh. 26 - Prob. 13PCh. 26 - Prob. 14PCh. 26 - Prob. 15PCh. 26 - Prob. 16PCh. 26 - Prob. 17PCh. 26 - Prob. 18PCh. 26 - Prob. 19PCh. 26 - Prob. 20PCh. 26 - Prob. 21PCh. 26 - Prob. 22PCh. 26 - Prob. 23PCh. 26 - Prob. 24PCh. 26 - Prob. 25PCh. 26 - Prob. 26PCh. 26 - Prob. 27PCh. 26 - Prob. 28PCh. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - Prob. 34PCh. 26 - Prob. 35PCh. 26 - Prob. 36PCh. 26 - Prob. 37PCh. 26 - Prob. 38PCh. 26 - Prob. 39PCh. 26 - Prob. 40PCh. 26 - Prob. 41PCh. 26 - Prob. 42PCh. 26 - Prob. 43PCh. 26 - Prob. 44PCh. 26 - Prob. 45PCh. 26 - Prob. 46PCh. 26 - Prob. 47PCh. 26 - Prob. 48PCh. 26 - Prob. 49PCh. 26 - Prob. 50PCh. 26 - Prob. 51PCh. 26 - Prob. 52PCh. 26 - Prob. 53PCh. 26 - Prob. 54PCh. 26 - Prob. 55PCh. 26 - Prob. 56PCh. 26 - Prob. 57PCh. 26 - Prob. 58PCh. 26 - Prob. 59PCh. 26 - Prob. 60PCh. 26 - Prob. 61PCh. 26 - Prob. 62PCh. 26 - Prob. 63PCh. 26 - Prob. 64PCh. 26 - Prob. 65PCh. 26 - Prob. 66PCh. 26 - Prob. 67PCh. 26 - Prob. 68PCh. 26 - Prob. 69PCh. 26 - Prob. 70PCh. 26 - Prob. 71PCh. 26 - Prob. 72PCh. 26 - Prob. 73PCh. 26 - Prob. 74PCh. 26 - Prob. 75PCh. 26 - Prob. 76PCh. 26 - Prob. 77PCh. 26 - Prob. 78PCh. 26 - Prob. 79PCh. 26 - Prob. 80PCh. 26 - Prob. 81P
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
- An unstable particle, initially at rest, decays into a proton (rest energy 938.3 MeV) and a negative pion (rest energy 139.5 MeV). A uniform magnetic field of 0.250 T exists perpendicular to the velocities of the created particles. The radius of curvature of each track is found to be 1.33 m. What is the rest mass of the original unstable particle?arrow_forwardConsidering electron and proton as two charged particles separated by d = 5.7 × 10-11 m calculate the gravitational force between the proton and electron and find its ratio to the Coulomb force. Take the mass of the proton 1.7 × 10¬2 kg, the mass of the electron 9.1 × 10¬3' kg, the value of the universal 1 = 9 x 10° m/F. Give the answer for the gravitational force in 10" gravitational constant 6.7 x 10-11 N kg?m² , the electron charge –1.6 × 10-19 c and 4πεο 47 N.arrow_forwardFor synchronous particles to remain on a constant radius in a synchrotron, show that the time derivative of the magnetic field is given by dB BATtum dt 2xqpR where ATturn is the kinetic energy gain per turn, R is the radius and p the bending radius, q the charge of a particle, ẞ=v/c. Assume the particles are accelerated on crest in a synchrotron of 10 GeV (kinetic energy) where the magnetic field reaches 1.5 Tesla in one second, following a linear variation. Calculate the bending radius and assuming R~1.5p, evaluate the accelerating voltage in kV.arrow_forward
- As a charged particle is shot to a magnetic field B with a speed v perpendicular to B, the particle's motion gets modified and the so called "cyclotron radius" relates to its charge directly inversely O as vaarrow_forwardHelpful information: (1) An alpha particle is a helium nucleus, (2) e = 1.6 × 10-¹⁹ C, (3) k = 9.0 × 10⁹ Nm² C-2, (4) 1nm = 1 × 10-⁹ m 1-An alpha particle lies on the x-axis, a distance of 1.0 nanometer from a proton (in this set-up, the alpha particle is at the origin while the proton is in the positive direction). Which of the following choices below represents the magnitude of the electric force on the alpha particle? (a) 2.3 × 10-10 N (b) 4.6 × 10-¹0 N (c) 2.3 × 10-19 N (d) 4.6 × 10-19 N eplacing the voltage sou the following inst choices below time != 1.00 37 instantaneous currentarrow_forward(a) A beam of highly energetic protons emerges from a cyclotron. Can you assume that there is a magnetic field associated with these particles? Justify your answer. (b) When a current travels through the coils of a coil spring, the coil contracts as if it were compressed. What is your explanation for the fact?arrow_forward
- A cyclotron used to accelerate protons has a maximum radius of 0.4 m and the magnetic induction used is one tesla. Find the frequency of oscillator connected to the dees and the maximum velocity of emerging protons. Through what P.D. must the protons be accelerated from rest to achieve this speed? If deuterons are used instead of protons, what would be their final energy? Mp= 1.67 x 10-27 kg.arrow_forwardProvide the answers in 90 minutes, and count as 2 questions if needed.arrow_forwardErnest Rutherford is famous for, among other things, shooting alpha particles at unsuspecting gold atoms. Consider an alpha particle endowed with 5.00 MeV of energy. Determine the closest distance this particle can approach the nucleus of a gold atom before deflectingarrow_forward
- An electron and a positron are separated by distance r. Find the ratio of the gravitational force to the electric force between them. From the result, what can you conclude concerning the forces acting between particles detected in a bubble chamber? (Should gravitational interactions be considered?)arrow_forwardAs a charged particle is shot to a magnetic field B with a speed v perpendicular to B, the particle's motion gets modified and the so called "cyclotron radius" relates to its charge as /9 b. q? O inversely O directlyarrow_forwardThe range of the nuclear strong force is believed to be about 1.2 x 10-15 m. An early theory of nuclear physics proposed that the particle that “mediates” the strong force (similar to the photon mediating the electromagnetic force) is the pion. Assume that the pion moves at the speed of light in the nucleus, and calculate the time ∆t it takes to travel between nucleons. Assume that the distance between nucleons is also about 1.2 x 10-15 m. Use this time ∆t to calculate the energy ∆E for which energy conservation is violated during the time ∆t. This ∆E has been used to estimate the mass of the pion. What value do you determine for the mass? Compare this value with the measured value of 135 MeV/c2 for the neutral pion.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-Hill
Classical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning