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NEET2024PhysicsGravitationActual

The escape velocity for earth is v . A planet having 9 times mass that of earth and radius, 16 times that of earth, has the escape velocity of:

Options

  1. Av 3
  2. B2 v 3
  3. C3 v 4
  4. D9 v 4

Correct answer

C. 3 v 4

Step-by-step solution

Escape velopity of object from planet is given by (v_e )_p= 2 G M_p R_p (v_e )_p M_p R_p Now, M_p=9 M_e and R_p=16 R_e (given) (v_e )_p (v_e )_e = M_p R_p R_e M_e = 9 M_e 16 R_e R_e M_e = 9 16 = 3 4 (v_e )_p= 3 4 v

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