A cyclotron operates at 10. MHz. What magnetic field is needed to accelerate protons?

Question

Quizplus · Accepted Answer

The correct answer is D.The cyclotron frequency is given by:$$f = \frac{qB}{2\pi m}$$where:* f is the frequency in Hz* q is the charge of the particle in Coulombs* B is the magnetic field strength in Tesla* m is the mass of the particle in kgFor protons, q = 1.602 x 10^-19 C and m = 1.673 x 10^-27 kg. Substituting these values into the equation, we get:$$10 	imes 10^6 	ext{ Hz} = \frac{(1.602 	imes 10^{-19} 	ext{ C})B}{2\pi (1.673 	imes 10^{-27} 	ext{ kg})}$$Solving for B, we get:$$B = 0.66 	ext{ T}$$

A Cyclotron Operates at 10