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JEE Main202622 January 2026Morning ShiftPhysicsGravitationActual

The escape velocity from a spherical planet A is 10 ~km / s . The escape velocity from another planet B whose density and radius are 10 % of those of planet A , is _ _ _ _ m / s .

Options

  1. A1000
  2. B1000 2
  3. C200 5
  4. D100 10

Correct answer

D. 100 10

Step-by-step solution

Escape velocity v_e = R 8 G 3 R . Planet B: _B = 0.1 _A , R_B = 0.1R_A . v_B v_A = 0.1R_A 0.1 _A R_A _A = 0.1 0.1 = 1 10 10 . v_B = 10 1 10 10 = 1 10 km/s = 1000 10 = 100 10 m/s.

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