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Question
Two satellites are orbiting around the earth in circular orbits of same radius. One of them is 10 times greater in mass than the other. Their period of revolutions are in the ratio ______.
Options
100 : 1
1 : 100
10 : 1
1 : 1
MCQ
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Solution
Two satellites are orbiting around the earth in circular orbits of same radius. One of them is 10 times greater in mass than the other. Their period of revolutions are in the ratio 1 : 1.
Explanation:
v = `(2pi"R")/"T"`
or, T = `(2pi"R")/"v"`
∴ T is not dependent on mass
∴ If M1 = 10M2
T1 : T2 = 1 : 1
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