Gravitation

JEE Main level, single correct, medium

186 of 223

Question 186 of 223

Consider two satellites S1{S}_{1} and S2{S}_{2} with periods of revolution 1hr1hr and 8hr8hr respectively revolving around a planet in circular orbits. The ratio of angular velocity of satellite S1{S}_{1} to the angular velocity of satellite S2{S}_{2} is:

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Answer: (A) 8:18:1

T1T2=18\dfrac{{T}_{1}}{{T}_{2}}=\dfrac{1}{8}
2π/ω12π/ω2=18\dfrac{2\pi /{\omega }_{1}}{2\pi /{\omega }_{2}}=\dfrac{1}{8}
ω1ω2=81\dfrac{{\omega }_{1}}{{\omega }_{2}}=\dfrac{8}{1}

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