Question

Escape velocity of an object is independent of 
1. Acceleration due to gravity
2. Mass of the object
3. Mass of earth
4. Radius of earth

Answer 1

Correct Answer - Option 2 : Mass of the object

CONCEPT:

• Escape Velocity: The minimum velocity required by a body to get away from the influence of the earth's gravitational field is called escape velocity.
  • Escape velocity (v_e) for a body on earth is given as 

\({V_e} = \sqrt {\frac{{2\;G\;M}}{R}} \)

G is the universal gravitational constant, M is the mass of earth, R is the radius of the earth.

• Escape velocity can also be expressed as

Ve = √(2gR)

g is the acceleration due to gravity

EXPLANATION:

• From the above expressions for escape velocity, it is clear that it depends upon the mass of the earth (M), the radius of the earth (R), and the acceleration due to gravity (g).
• Also, there is no mention of the mass of the object. So, we can say, escape velocity is independent of the mass of the object.