A beam of #prop# particles (helium nuclei) is used to treat a tumor located 10.0 cm inside a patient. To penetrate to the tumor, the #prop# particles must be accelerated to a speed of 0.458c, where c is the speed of light. (Ignore relativistic effects?
A beam of #prop# particles (helium nuclei) is used to treat a tumor located 10.0 cm inside a patient. To penetrate to the tumor, the #prop# particles must be accelerated to a speed of 0.458c, where c is the speed of light. (Ignore relativistic effects.) The mass of an #prop# particle is 4.003 u. The cyclotron used to accelerate the beam has radius 1.00 m. What is the magnitude of the magnetic field?
A beam of
1 Answer
Explanation:
Lorentz Force equation of charged particle
Considering the magnetic field which is to be found out.
In a cyclotron, magnetic field
Hence,
As the
substituting value of force from (2) in 91) we get
Using