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Q.

If r represents the radius of the orbit of a satellite of mass m moving around a planet of mass M, the velocity of the satellite is given by

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a

$v = \frac{GM}{r}$

b

$v^{2} = \frac{GM}{r}$

c

$v^{2} = g \frac{M}{r}$

d

$v^{2} = \frac{GMm}{r}$

answer is D.

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Detailed Solution

orbital velocity $V_{o} = \sqrt{\frac{GM}{r}}$

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If r represents the radius of the orbit of a satellite of mass m moving around a planet of mass M, the velocity of the satellite is given by