The magnetic field in a cyclotron is 0.50 T. What is the radius of the vacuum chamber for a maximum proton velocity of 1.0 × 10⁷ m/s? A) 0.11 m B) 1.2 m C) 0.21 m D) 0.013 m

Question

Quizplus · Accepted Answer

The radius of the vacuum chamber can be found using the formula: 
r = mv / (qB), where m is the mass of the proton, v is the velocity, q is the charge of the proton, and B is the magnetic field.
Plugging in the given values, we get:
r = (1.67 x 10^-27 kg) x (1.0 x 10^7 m/s) / (1.6 x 10^-19 C) x (0.5 T)
r = 2.79 x 10^-2 m = 0.0279 m = 0.21 m (rounded to two significant figures)
Therefore, the answer is choice C.

The Magnetic Field in a Cyclotron Is 0