a) A satellite dish antenna m in diameter receives TV broadcasts at a frequency of about GHz. (This dish is the large, older variety.) If the dish were operated as a transmitter, what would be the angular size of its beam? Define the angular size of the beam as the full angular width of the beam, i.e. the angle between the diffraction zeros on either side of the peak.

q = rad

b) About how many communications satellites could fit in geosynchronous orbit, 36000 km above the Earth's equator, if antennas like this one are not to pick up signals from more than one satellite?

number = communications satellites

c) Suppose that the frequency is multiplied by a factor of . By what factor must one multiply the diameter of the dish to keep the resolution the same?

factor =