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MHT CET202519 Apr 2025Evening ShiftPhysicsGravitationActual

The escape velocity of a satellite from the surface of earth does NOT depend on

Options

  1. Amass of the earth.
  2. Bmass of the object to be projected.
  3. Cradius of the earth.
  4. Dgravitational constant.

Correct answer

B. mass of the object to be projected.

Step-by-step solution

The escape velocity v_e from a planet's surface is given by v_e = 2GM R , where G is the gravitational constant, M is the planet's mass, and R is its radius. The derivation equates kinetic and gravitational potential energy: 1 2 mv_e^2 = GMm R . Cancelling the object mass m yields v_e^2 = 2GM R , confirming that escape velocity is independent of the object's mass. Since only G , M , and R appear in the final expression, the correct choice is B .

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