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The radius of circular orbits of two satellites A and B of the earth, are 4R and R, respectively. If the speed of satellite A is 3V, then the speed of satellite B will be :

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3V/2

12V

3V/4

answer is B.

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Detailed Solution

$\frac{\sqrt{\frac{GM}{4 R}}}{\sqrt{\frac{GM}{R}}} = \frac{3 V}{V_{B}} ∴ V_{B} = 6 V$

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