Question

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 = 2.20 × 10⁶ m/s. Relative to the center, the tangential speed is v_T = 0.550 × 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 from the emitted frequency of 8.237 × 10¹⁴ Hz. Find the measured frequency for the light from (a) region A and (b) region B. (Give your answer to 4 significant digits. Use 2.998 × 10⁸ m/s as the speed of light.)

Answer 1