Consider a supermassive black hole with mass: MBH = 106 Msun. An observation station is in a circular orbit around the black hole at a distance of 1,000,000 km from the event horizon. The distant observer fires a pulse of light with wavelength 2-500 nm towards the observation station. i. What wavelength would the scientists on the station measure the pulse to have? Express your answer in meters. ii. How much energy would each photon in the pulse gain from the gravitational field by the time they reach the observation station? Express your answer in Joules.