Q- A distant galaxy is simultaneously rotating and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of u_G = 1.8*10⁶ m/s. Relative to the center, the tangential speed is v_T = 0.3*10⁶ m/s for locations A and B, which are equidistant from the center. When the frequencies of the light coming from regions A and B are measured on earth, they are not the same and each is different than the emitted frequency of 6.400*10¹⁴ Hz. Find the measured frequency for the light from each of the following.

(a) region A
(b) region B

Solution: