Two stars have proper motions of one arcsecond per year. star a is 20 light-years from earth, and star b is 10 light-years away from earth. which one has the faster velocity in space?

Star A

Explanation:

μ = proper motion = 1 arcsecond per year

r = 20 light-years = Distance

Transverse velocity

V = 1.45 × μ × r

⇒ V = 1.45 × 1 × 20

⇒ V = 29 km/sec

When r = 10 light-years

V = 1.45 × 1 × 10

⇒ V = 14.5 km/sec

∴ Star A which is 20 light-years from Earth is moving faster compared to Star B which is 10 light-years from Earth.

e) none of the above answers are correct

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