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

1. 3 √4
2. 6 V
3. 12 V
4. 3 √2

Correct answer: 3 √2

Solution

The orbital speed of a satellite is inversely proportional to the square root of the radius of its orbit (v ∝ 1/√r). Given that the radius of satellite A's orbit is 4R and its speed is 3V, the speed of satellite B (radius R) will be 3V × √(4R/R) = 3V × √4 = 3√2 V.

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