What is the magnitude of the magnetic field needed to accelerate the deuteron in the cyclotron? (b) The relationship of the radius of the path, R and the velocity of the deuteron is given by: R= mv/qB, what is the speed of the deuteron in the circular path? (c) What is the resulting kinetic energy of the deuteron?

University Physics Volume 3
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Chapter5: Relativity
Section: Chapter Questions
Problem 36P: Describe the following physical occurrences as events, that is, in the form (x, y, z, t): (a) A...
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Suppose a cyclotron is operated at an

oscillator frequency of 12 MHz ( Mega-
Hertz) and has a radius of R=53 cm. A

deuteron is the nucleus of deuterium,
an isotope of hydrogen, consisting of a
proton and a neutron, and therefore
having the same charge as a proton is
to be accelerated in the cyclotron. Its
mass, m=3.24 x10-27 kg.
(a) What is the magnitude of the
magnetic field needed to
accelerate the deuteron in the
cyclotron?

(b) The relationship of the radius of
the path, R and the velocity of the
deuteron is given by: R= mv/qB,
what is the speed of the deuteron
in the circular path?

(c) What is the resulting kinetic
energy of the deuteron?

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