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Question

Consider two satellites, S1 and S2 with periods of revolution, 1 hr and 8 hr respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S1 to the angular velocity of satellite S2 is

A
1:2
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B
1:8
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C
8:1
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D
2:1
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Solution

The correct option is C 8:1
Given:
Ratio of time periods,
T1T2=18

We know that,
ω=2πT

ω1T

ω1ω2=T2T1

ω1ω2=81

ω1:ω2=8:1

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