Calculate the cyclotron frequency and the cyclotron radius for:

(a) An electron in the Earth's ionosphere at 300 km altitude, where the magnetic flux density B ≃ 0.5 * 10^–4 tesla, considering that the electron moves at the thermal velocity (kT/m), with T = 1000 K, where k is Boltzmann's constant.

(b) A 50 MeV proton in the Earth's inner Van Allen radiation belt at about 1.5 R_E (where R_E = 6370 km is the Earth's radius) from the center of the Earth in the equatorial plane, considering B ≃ 10^–5 tesla.

(c) A 1 MeV electron in the Earth's outer Van Allen radiation belt at about 4 R_E from the center of the Earth in the equatorial plane, where B ≃ 10^–7 tesla.

(d) A proton in the solar wind with a streaming velocity of 100 km/s, in a magnetic flux density B ≃ 10^–9 tesla.

(e) A 1 MeV proton in a sunspot region of the solar photosphere, considering B ≃ 0.1 tesla.