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JEE Main 2004 (AIEEE) · Satellites - Orbital Velocity & Period

Satellites - Orbital Velocity & Period question from JEE Main 2004 (AIEEE)

Q72JEE Main 2004 · AIEEEMedium

Satellites - Orbital Velocity & Period

Suppose the gravitational force varies inversely as the nth power of distance. Then the time period of a planet in circular orbit of radius RR around the sun will be proportional to

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Answer: (c)

  1. mω2R=kRn⇒ω2∝R−(n+1)m\omega^2 R = \frac{k}{R^n} \Rightarrow \omega^2 \propto R^{-(n+1)}
  2. T∝1ω∝R(n+1)/2T \propto \frac{1}{\omega} \propto R^{(n+1)/2}
  3. So the answer is (c).
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