#### The kinetic energy needed to project a body of  mass m from the earth surface (radius R) to infinity is Option 1) Option 2) Option 3) Option 4)

As we learnt in

Escape velocity ( in terms of radius of planet) -

Escape velocity

- wherein

• depends on the reference body
• greater the value of  or  greater will be the escape velocity   For earth

$\dpi{100} v_{e}=\sqrt{2gR}$

Kinetic Energy =

Option 1)

This option is incorrect.

Option 2)

This option is incorrect.

Option 3)

This option is correct.

Option 4)

This option is incorrect.