Question

1.)what is the frequency of the microwave whose wavelength is 1.60 cm?

2.) Alpha particles of charge q=+2e and mass m=6.6x10^-27 are emitted from a radioactive source at a speed of 1.6x10^10 m/s. What magnetic field strength would be required to bend them into a circular path of radius r=0.25?

Answer 1

1)    frequency of the microwave   = (3 * 10⁸)/(1.60 * 10^-2)

                                                        = 1.875 * 10¹⁰ Hz

2) As, Radius = mv/qB

=>    0.25 = (6.6x10^-27 * 1.6x10¹⁰)/(2 * 1.6 * 10^-19 * B)

=> B = 1320 T

thus,    magnetic field strength =   1320 T