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Physics · GRAVITATION

हिन्दी

Given below are four statements regarding the escape speed from a planet: (A) The escape speed depends on the mass of the projectile. (B) The escape speed is independent of the angle of projection from the planet's surface. (C) Gas molecules on the Moon escape because their thermal velocities can exceed the escape velocity of the Moon. (D) Escape speed from the surface of Earth is \( \sqrt{2} \) times the orbital speed of a satellite orbiting close to Earth. Choose the correct answer from the options given below:

  1. (A), (B) and (C) only
  2. (B), (C) and (D) only
  3. (A) and (D) only
  4. (B) and (D) only

Correct answer · Option 2

(B), (C) and (D) only

Explanation

Escape velocity \( v_e = \sqrt{2GM/R} \) depends only on the planet's mass and radius, not the projectile's mass or direction. Statements (B), (C), and (D) are correct, while (A) is incorrect.
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