The Maximum Kinetic energy of a proton is -
E(max) = 0.063 x joules.
We have a Cyclotron designed to accelerate protons.
We have to determine the Maximum Kinetic energy of Protons.
<h3>What is a Cyclotron? On what principle it works?</h3>
Cyclotron is a device used to accelerate charged particles to high energies. It works on the principle that a charged particle moving normal to a magnetic field experiences magnetic Lorentz force due to which the particle moves in a circular path. The magnetic Lorentz force is given by-
F = qvB sinθ
According to the question -
In a cyclotron the force by a magnetic field is equal to the centrifugal force.
Now, for r(max) - ( Since v = rω)
q v(max) B sin (90) =
Now -
r(max) = 0.35 m
B = 0.8 Tesla
Therefore -
v(max) =
v(max) = 0.28 x m/sec
Therefore, the Maximum kinetic energy =
E(max) =
E(max) =
E(max) = 0.063 x joules
Hence, the Maximum Kinetic energy of a proton is -
E(max) = 0.063 x joules.
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brainly.com/question/14555284
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