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>> $What will be velocity of a satellite rev$

Question

What will be velocity of a satellite revolving around the earth at a height $h$ above surface of earth if radius of earth is $R .$

A

$R^{2} \frac{g}{R + h}$

B

$R \frac{g}{( R + h ) ^{2}}$

C

$R \frac{g}{R + h}$

D

$R \frac{R + h}{g}$

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Updated on : 2022-09-05

Solution

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Correct option is C)

Velocity of satellite revolving in an orbit of radius r, $v = \frac{G M}{r}$
Also $G M = g R^{2}$
$⟹ v = \frac{g R ^{2}}{r}$
For $r = R + h$
$v = R \frac{g}{R + h}$

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