1.

A satellite of mass m is orbiting the earth in a circular orbit of radius R. It starts losing energy due to small air resistance at the rate of C J/s. Find the time taken for the satellite to reach the earth.

A. \[\frac{GMm}{C}\left[ \frac{1}{R}-\frac{1}{r} \right]\]
B. \[\frac{GMm}{2C}\left[ \frac{1}{R}+\frac{1}{r} \right]\]
C. \[\frac{GMm}{2C}\left[ \frac{1}{R}-\frac{1}{r} \right]\]
D. \[\frac{2GMm}{C}\left[ \frac{1}{R}+\frac{1}{r} \right]\]
Answer» D. \[\frac{2GMm}{C}\left[ \frac{1}{R}+\frac{1}{r} \right]\]


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