Problem 24.25 describes two particles that orbit the earth's magnetic field lines. What is the frequency of the circular orbit for

a. An electron with speed \(1.0 \times 10^{6} \mathrm{~m} / \mathrm{s}\) ?

b. A proton with speed \(5.0 \times 10^{4} \mathrm{~m} / \mathrm{s}\) ?

Problem 24.25

The aurora is caused when electrons and protons, moving in the earth's magnetic field of \(\approx 5.0 \times 10^{-5} \mathrm{~T}\), collide with molecules of the atmosphere and cause them to glow. What is the radius of the circular orbit for

a. An electron with speed \(1.0 \times 10^{6} \mathrm{~m} / \mathrm{s}\) ?