A distant galaxy is simultaneously rotating ug-220 x 105 m/s. Relative to the ce

Question

A distant galaxy is simultaneously rotating ug-220 x 105 m/s. Relative to the center, the tangential speed is vr = 0.370 x 106 m/s for locations A and receding from the earth. As the drawing shows, the galactic center is receding from the earth at a relative speed of rind the measured requency for the ight from (a) region A and (b) region B. (Give you A and B are measured on earth, they are not the same and each is different from the emitted frequency of 7.130 x 104 Hz. and B, which are equidistant from the center. When the r answer to 4 significant digits. Use 2.998 x 108 m/s as the speed of light.) Earth (b) N 7.2474E14

Explanation / Answer

Given that
uG  = 2.20x106 m/s

vT = 0.37 x 106 m/s

fs = 7.13 x 1014 Hz

Speed at location A is

          VA = uG - vT = (2.20x106 m/s) - (0.37 x 106m/s) = 1.83 x 106 m/s

Speed at location B is

        VB = uG + vT = (2.20x106 m/s)+ (0.37 x 106 m/s) = 2.57x106 m/s

a) The measured frequency at A is
                   fA = fs ( 1 - VA /c) = (7.13 x 1014 Hz) ( 1 -   (1.83 x 106 m/s) /( 3 x 108 m/s) )

                        = 7.09 x 1014 Hz

b) frequency at B is
                   fB = fs ( 1 - VB /c) = (7.13 x 1014 Hz) ( 1 - (2.57 x 106 m/s) /( 3 x 108 m/s) )

                        = 7.069 x 1014 Hz

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.