General Physics, 2nd Edition
General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 19, Problem 49E
To determine

The value of the kinetic energy for alpha particles.

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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 3.34×10−27kg. 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?
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.
2. A proton traveling at 1*10^7 m/s in a horizontal plane passes through an opening into a mass spectrometer with a uniform 3Tmagnetic field directed upward. The particle then moves in a circular path through 180° and crashes into the wall of the spectrometer adjacent to the entrance opening. How far down from the entrance is the proton when it crashes into the wall? The proton's mass is 1.67*10^-27kg and its electric charge is 1.6*10^-19C.
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