Gravitation - Result Question 6

6. A satellite $A$ of mass $m$ is at a distance of $r$ from the surface of the earth. Another satellite B of mass $2 m$ is at a distance of $2 r$ from the earth’s centre. Their time periods are in the ratio of

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(a) $1: 2$

(b) $1: 16$

(c) $1: 32$

(d) $1: 2 \sqrt{2}$

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Answer:

Correct Answer: 6. (d)

Solution:

  1. (d) Also, $T^{2} \propto T^{3}$.

Time period does not depend on the mass.