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Physics · GRAVITATION

हिन्दी

Assuming the orbits of Earth and Mars around the Sun are circular, if the orbital radius of Mars is \( 1.52 \) times that of the Earth, and the Earth year is \( 365 \) days, the length of the Martian year is approximately:

  1. A
    \( 555 \text{ days} \)
  2. B
    \( 825 \text{ days} \)
  3. C
    \( 730 \text{ days} \)
  4. D
    \( 684 \text{ days} \)
View Answer & Solution

Correct answer · Option D

\( 684 \text{ days} \)

Explanation

Using Kepler's third law: \( T_M = T_E (\frac{R_{MS}}{R_{ES}})^{3/2} = 365 \times (1.52)^{3/2} \approx 365 \times 1.874 \approx 684 \text{ days} \).
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