A distant galaxy emits light that has a wavelength of 596.8 nm. On earth, the wavelength...

A distant galaxy emits light that has a wavelength of 596.8 nm. On earth, the wavelength of this light is measured to be 601.9 nm. (a) Decide whether this galaxy is approaching or receding from the earth. (b) Find the speed of the galaxy relative to the earth. (Give your answer to 4 significant digits. Use 2.998 × 108 m/s as the speed of light.)

Expert Solution

The given problem can be solved using the Dopplers equation.

a)the Galaxy is approaching or receding from the earth can be decide using below Dopplers equation

+ Sign Galaxy is approaching the earth.

- sign Galaxy is receding from earth.

b)Speed of Galaxy relative to earth can be find using below formula interms of wavelength.

a)Galaxy is receding from the earth since f_o is less than f_s as is greater than that is 601.9 nm is greater than 596.8 nm

b)speed of Galaxy relative to earth V_rel=2.998*10⁶ m/s (upto 4 significant figures).

genius_generous answered 6 months ago

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