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JEE Main202430 Jan 2024Evening ShiftPhysicsGravitationActual

Escape velocity of a body from earth is 11 . 2 km s - 1 . If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the plate is:

Options

  1. A11 . 2 km s - 1
  2. B8 . 4 km s - 1
  3. C4 . 2 km s - 1
  4. D7 . 9 km s - 1

Correct answer

D. 7 . 9 km s - 1

Step-by-step solution

Given: R P = R E 3 , M P = M E 6 Escape velocity is given by, v = 2 G M R Therefore, v E = 2 G M E R E . . . ( i ) v P = 2 G M P R P . . . ( i i ) ⇒ v E v P = 2 ⇒ v P = v E 2 = 11 . 2 2 = 7 . 9 km s - 1

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