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Question

On what factors does escape velocity of the rocket depends?

A
Mass of the rocket
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B
Mass of the satellite
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C
Radius of the earth
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D
Speed of the rocket
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Solution

The correct option is B Radius of the earth
Escape velocity is the speed at which the sum of an object's kinetic energy and its gravitational potential energy is equal to zero. It is the speed needed to "break free" from the gravitational attraction of a massive body, without further propulsion, i.e., without spending more fuel.
It is given by ve=2GMr
where, M= mass of the planet
G= Universal gravitational constant =6.67×1011m3kg1s2
ve is the escape velocity
So, from the above equation we can deduce that it depends on the radius of the planet.

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