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A hypothetical planet orbits a star with mass one-half the mass of our sun. The planet’s orbital radius is the same as the Earth’s. Approximately how many Earth years does it take for the planet to complete one orbit? 

(A) ½

(B) 1/√2

(C) 1

(D) √2

(E) 2

1 Answer

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Best answer

Correct option (D) √2

Orbital speed is found from setting GMm/r2 = mv2/r which gives v = (GM/r) where M is the object being orbited. Also, T = 2πr/v. Since the mass is divided by 2, v is divided by √2. 

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