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Physics · GRAVITATION

हिन्दी

A satellite is revolving in a circular orbit around the Earth. If its orbital radius increases by \( 2\% \), the percentage increase in its orbital time period is approximately:

  1. \( 1\% \)
  2. \( 3\% \)
  3. \( 2\% \)
  4. \( 4.5\% \)

Correct answer · Option 2

\( 3\% \)

Explanation

By Kepler's third law, \( T \propto r^{3/2} \). For small fractional changes, \( \frac{\Delta T}{T} = \frac{3}{2} \frac{\Delta r}{r} = \frac{3}{2} \times 2\% = 3\% \).
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