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Physics · GRAVITATION

हिन्दी

Two planets revolve around the Sun with semi-major axes in the ratio \( 1 : 4 \). What is the ratio of their orbital time periods?

  1. \( 1 : 2 \)
  2. \( 1 : 16 \)
  3. \( 1 : 4 \)
  4. \( 1 : 8 \)

Correct answer · Option 4

\( 1 : 8 \)

Explanation

By Kepler's third law, \( \frac{T_1}{T_2} = (\frac{a_1}{a_2})^{3/2} = (\frac{1}{4})^{3/2} = \frac{1}{8} \).
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