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Physics · PYQ NEET UG 2024

हिन्दी

The mass of a planet is \( \frac{1}{10} \)th that of the earth and its diameter is half that of the earth. The acceleration due to gravity on that planet is :

  1. \( 4.9 \text{ m s}^{-2} \)
  2. \( 3.92 \text{ m s}^{-2} \)
  3. \( 19.6 \text{ m s}^{-2} \)
  4. \( 9.8 \text{ m s}^{-2} \)

Correct answer · Option 2

\( 3.92 \text{ m s}^{-2} \)

Explanation

Acceleration due to gravity is \( g = \frac{GM}{R^2} \). On the planet, \( g' = \frac{G(M/10)}{(R/2)^2} = \frac{4}{10} g = 0.4 \times 9.8 = 3.92 \text{ m s}^{-2} \).
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