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Two satellites of masses 50kg and 100 kg revolve around the earth in circular orbits of radii 9R and 16R respectively. Where ‘R’ is the radius of the earth. The speeds of two satellites will be in the simplest ratio $\frac{x}{y}$ . Find the value of x + y _____

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answer is 7.

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Detailed Solution

$V_{0} = \sqrt{\frac{GM}{R + h}} = \sqrt{\frac{GM}{r}}$

$Vα \frac{1}{\sqrt{r}}$

$\frac{V_{1}}{V_{2}} = \sqrt{\frac{r_{2}}{r_{1}}} = \sqrt{\frac{16 r}{9 r}} = \frac{4}{3} = \frac{x}{y}$

$X + y = 4 + 3 = 7$ .

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