# 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?

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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