Consider earth to be a homogeneous sphere, Scientist A goes deep down in a mine and scientist B goes high up in a balloon. The acceleration due to gravity as measured by:
The acceleration due to gravity goes on decreasing for both the scientists A and B.
For scientist B,
Since,
So, as the distance from the centre of earth increases, the value of g decreases.
For scientist A,
Let scientist A be at a depth d. Then only attraction is due to the sphere (R – d), where R is the radius of earth. As the attraction due to rest of the earth cancels out, so the value of g decreases.
Hence, option D is correct.