Gravitation Question 332

Question: While approaching a planet circling a distant star, an astronaut determines the radius of a planet is half of that of the earth. After landing on its surface, he finds its acceleration due to gravity is twice as that of the earth. The ratio of the mass of planet and that of the earth.

Options:

A) 1 :2

B) 2:3

C) 3:4

D) 4:5

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Answer:

Correct Answer: A

Solution:

  • $ [\frac{g_{p}}{g_{e}}=\frac{2}{1};\frac{R_{p}}{{R_{e}}}=\frac{1}{2}] $

    So,$ [M_{P}/M_{e}=1:2] $



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