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Physics · PYQ NEET UG 2021

हिन्दी

The escape velocity from the Earth's surface is v. The escape velocity from the surface of another planet having a radius, four times that of Earth and same mass density is: Which of the above statements is/are correct?

  1. \( 2v \)
  2. \( 3v \)
  3. \( 4v \)
  4. v

Correct answer · Option 3

\( 4v \)

Explanation

Escape velocity \( v_e = \sqrt{2gR} = R \sqrt{\frac{8}{3}\pi G \rho} \). Since \( \rho \) is constant, \( v_e \propto R \). Thus, if radius becomes 4 times, escape velocity becomes 4v.
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