The diagrams below each show the motion of a distant star relative to Earth (not to scale). The red arrows indicate the speed and direction of the star’s motion: Longer arrows mean faster speed. Rank the stars based on the Doppler shift that we would detect on Earth, from largest blueshift, through no shift, to largest redshift. Note:a picture in resemble to solar system is shown in the figure

The ranking of the stars are 5 → 2 → 4 → 3 → 1

Explanation:

To solve the question, we note that an approaching star has a blue-shift, a regressing star has a red-shift and a crossing star will have no shift.

The magnitude of the blue-shift or red-shift is dependent on the speed of the stars.

Therefore we have the rank of the stars based on the Doppler shift that would be detected on earth from largest blue-shift to largest red-shift given as

5 → 2 → 4 → 3 → 1.

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