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Consider a spiral galaxy that is moving directly away from Earth with a speed V = 3.600 106 m/s at its center, as shown in the figure. The galaxy is also rotating about its center, so that points in its spiral arms are moving with a speed v = 5.100 105 m/s relative to the center. Light with a frequency of 7.650 1014 Hz is emitted in both arms of the galaxy, and this light is detected by astronomers on Earth. What frequency is detected by the astronomers observing the upper and lower arms?

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