At what height from the surface of earth the gravitation potential and the value of g are -5.4 107 J kg-2 and 6.0ms-2  respectively? Take the radius of earth as 6400 km: Option 1) 2600 km Option 2) 1600 km Option 3) 1400 km Option 4) 2000 km

Potential due to Uniform solid sphere -

Mass of sphere

distance from centre of sphere

- wherein

Outside the surface

on the surface

Inside the surface

Gravitational potential at a height

acceleration due to gravity at the height =

or

or

or

or

Option 1)

2600 km

This option is correct.

Option 2)

1600 km

This option is incorrect.

Option 3)

1400 km

This option is incorrect.

Option 4)

2000 km

This option is incorrect.