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Many galaxies have supermassive black holes at their centers. As material swirls around such a black...

Many galaxies have supermassive black holes at their centers. As material swirls around such a black hole, it is heated, becomes ionized, and generates strong magnetic fields. The resulting magnetic forces steer some of the material into high-speed jets that blast out of the galaxy and into intergalactic space. The light we observe from the jet in Fig. has a frequency of 6.66x10^14 Hz (in the far ultraviolet region of the electromagnetic spectrum), but in the reference frame of the jet material, the light has a frequency of 5.55x10^13 Hz (in the infrared). What is the speed of the jet material with respect to us?

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