Physics for Scientists and Engineers
Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 26, Problem 80P
To determine

The ratios RdRp and RαRp .

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Auroras e are produced when charged particles from the sun (a.k.a. solar wind 2 ) directed toward the Earth are deflected toward the poles. At the poles, the magnetic field is stronger, so it tightens the radius of curvature of the particle's trajectory such that it ionizes the air. Suppose an alpha particle (mass of 6.64 x 10-27 kg, charge of +2e) with a kinetic energy of 5.2 kev becomes trapped by the Earth's magnetic field. Determine the radius of curvature of the particle's trajectory where the Earth's magnetic field is 37 µT and the velocity of the particle makes a 74° with the magnetic field. Give your answer in units of m.
A 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?
A 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?

Chapter 26 Solutions

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