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A cyclotron (Fig. 28.16) designed to accelerate protons has an outer radius of 0.350 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 600 V each time they cross the gap between the dees. The dees are between the poles of an
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Physics for Scientists and Engineers with Modern Physics
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- A proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardtoo urgent just need corct answerarrow_forwardA cyclotron (figure) designed to accelerate protons has an outer radius of 0.321 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 542 V each time they cross the gap between the dees. The dees are between the poles of an electromagnet where the field is 0.768 T. The black, dashed, curved lines Alternating AV гергемеnt the path of the particles. After being accelerated, the particles exit here. North pole of magnet (a) Find the cyclotron frequency for the protons in this cyclotron. rad/s (b) Find the speed at which protons exit the cyclotron. m/s (c) Find their maximum kinetic energy. ev (d) How many revolutions does a proton make in the cyclotron? revolutions (e) For what time interval does the proton accelerate?arrow_forward
- The magnetic poles of a small cyclotron produce a magnetic field with magnitude 0.85 T. The poles have a radius of 0.40 m, which is the maximum radius of the orbits of the accelerated particles. (a) What is the maximum energy to which protons (q = 1.60 * 10-19 C, m = 1.67 * 10-27 kg) can be accelerated by this cyclotron? Give your answer in electron volts and in joules. (b) What is the time for one revolution of a proton orbiting at this maximum radius? (c) What would the magnetic-field magnitude have to be for the maximum energy to which a proton can be accelerated to be twice that calculated in part (a)? (d) For B = 0.85 T, what is the maximum energy to which alpha particles (q = 3.20 * 10-19 C, m = 6.64 * 10-27 kg) can be accelerated by this cyclotron? How does this compare to the maximum energy for protons?arrow_forwardA cyclotron designed to accelerate protons has an outer radius of 0.45 m. The protons are emitted nearly at rest from a source at the center and are accelerated through 700 V each time they cross the gap between the 'dees'. The dees are between the poles of an electromagnet where the field is 0.69 T. a. Find the speed at which protons exit the cyclotron (proton mass = 1.67×10-27). b. Find the cyclotron frequency f for the protons in this cyclotron (Hint: v=r.(2Ã)). c. Calculate the maximum kinetic energy of the proton?arrow_forwardproton is accelerated from rest in a circular orbit of diameter 10.16 cm through a magnetic field with kinetic energy of 0.3 MeV. Compute the magnetic field.arrow_forward
- Protons exit a cyclotron with a kinetic energy of 8.52 MeV. The alternating potential difference has a magnitude of 3.60 x 104 V and the magnetic field has a modulus of 1.5T. (a) What is the radius of the cyclotron in cm? (b) How long, expressed in μs, do protons take to exit the cyclotron, once they are emitted from the source ?arrow_forwardA cyclotron with a magnetic field of 1.2 T is used to accelerate protons. How long does it take the protons to make one complete trip around the cyclotron at a radius of 25cm?arrow_forwardYou are working as a medical assistant in a proton beam therapy facility, where high-speed protons are used to bombard cancer cells. The protons are accelerated with a cyclotron, which you find very interesting due to your physics background. You are explaining this to a patient who has some familiarity with cyclotrons. She asks: "How many revolutions does a proton make in the cyclotron before it reaches its final kinetic energy?". You are surprised, both by the high quality of her question and the fact that you had never thought about such a question before. You tell her that you will try to give her an answer before her treatment is over today. After preparing her for the treatment, you enter the cyclotron room and observe the machine. Only three numbers are available on the machine's label: the exit energy K = 250 MeV, the radius at which the protons exit, r = 0.850m, and the acceleration potential difference of the dees, AV = 800V. You return to the patient to provide her with the…arrow_forward
- The magnetic field in a cyclotron is 1.29 T, and the maximum orbital radius of the circulating protons is 0.37 m. (a) What is the kinetic energy (in J) of the protons when they are ejected from the cyclotron? (b) What is this energy in MeV? (c) Through what potential difference (in MV) would a proton have to be accelerated to acquire this kinetic energy? (d) What is the period (in s) of the voltage source used to accelerate the protons? (e) Repeat the calculations for alpha-particles. kinetic energy (in J) kinetic energy (in MeV) potential difference (in MV) period (in s)arrow_forwardA proton travelling at 1 * 107 m/s in a horizontal plane passes through an opening into a mass spectrometer with uniform field 3T directed upward. The particle then moves in a circular path through 1800 and crashes into the wall of the spectrometer adjacent to the entrance opening. How far down from the entrance is the proton when crashes the war?arrow_forwardAlpha particles of mass 6.68 × 10 ^ -27 kg and charge 3.2 × 10 ^ -19 C are accelerated in a cyclotron in which a magnetic field of 1.25 T is applied perpendicular to the dees (dees is the name given to two electrodes hollow semicircular, as they are D-shaped). With what period should the electric field be reversed between the dees? A.)5.25 × 10 ^ -8 s B.)955.25 × 10 ^ -8 s C.)55.25 × 10 ^ -8 s D.)575.25 × 10 ^ -8 s E.) None before and / or after is correct.arrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
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