JEE Physics · Hard

Work, Power and Energy: Escape Speed Using Energy MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Escape Speed Using EnergyHardQuestion 30449

Question

The escape speed from the Moon's surface (radius Rm = 1.74×10⁶ m, g_moon = 1.63 m/s²) is approximately:
  1. A
    1680 m/s
  2. B
    2380 m/s
    Correct
  3. C
    11200 m/s
  4. D
    840 m/s

Correct answer

2380 m/s

Explanation

v_escape = √(2g_moon×R_m) = √(2×1.63×1.74×10⁶) = √(5.67×10⁶) ≈ 2381 m/s ≈ 2.38 km/s.