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The escape velocity of a body does not depend upon-
1. Mass of the body
2. Mass of the Earth
3. Radius of the Earth
4. Universal Gravitational constant

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Correct Answer - Option 1 : Mass of the body

The correct answer is option 1) i.e. Mass of the body.

CONCEPT:

  • Escape velocity(Ve): The minimum velocity that an object must attain to escape the gravitational pull of the Earth is called the escape velocity.

It is given as:

Ve = √2gR

where g = acceleration due to gravity on the surface of the Earth, R = Radius of the Earth

Explanation:

  • From the formula of escape velocity, it is clear that it only depends upon the acceleration due to gravity(g) and the radius of the Earth(R).
  • The escape velocity of a body does not depend upon its mass.

  • Escape velocity is directly proportional to the square root of the radius of the Earth.
  • Escape velocity depends upon the acceleration due to gravity which in turn depends upon the Mass of the Earth.
  • Escape velocity depends upon the acceleration due to gravity which in turn depends upon the Universal Gravitational constant.

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