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Physics · GRAVITATION

हिन्दी

The escape speed from the surface of Earth is approximately \( 11.2\text{ km/s} \). If the acceleration due to gravity on the Moon is \( g/6 \) and its radius is \( R_E/4 \), the escape speed from the Moon's surface would be approximately:

  1. A
    \( 4.6\text{ km/s} \)
  2. B
    \( 2.3\text{ km/s} \)
  3. C
    \( 5.6\text{ km/s} \)
  4. D
    \( 0.46\text{ km/s} \)

Correct answer · Option B

\( 2.3\text{ km/s} \)

Explanation

Using \( v_e = \sqrt{2gR} \), \( v_{e,\text{moon}} = \sqrt{2(g/6)(R_E/4)} = \frac{1}{\sqrt{24}} v_{e,\text{earth}} \approx \frac{11.2}{4.9} \approx 2.3\text{ km/s} \).
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