JEE MAIN - Physics (2022 - 25th June Evening Shift - No. 23)

Two satellites S1 and S2 are revolving in circular orbits around a planet with radius R1 = 3200 km and R2 = 800 km respectively. The ratio of speed of satellite S1 to be speed of satellite S2 in their respective orbits would be $${1 \over x}$$ where x = ___________.
Answer
2

Explanation

$$v = \sqrt {{{GM} \over R}} $$

$$ \Rightarrow {{{v_1}} \over {{v_2}}} = \sqrt {{{{R_2}} \over {{R_1}}}} $$

$${{{v_2}} \over {{v_1}}} = \sqrt {{{3200} \over {800}}} = 2$$

$$ \Rightarrow {{{v_1}} \over {{v_2}}} = {1 \over 2}$$

$$x = 2$$

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