Question

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 :

Answer 1

Correct option is D. each goes decreasing
The acceleration due to gravity goes on decreasing for both the scientists A and B.

$$For scientist B,$$

Since, $$ g \propto \dfrac{1}{r^2} $$

So, as the distance from the center 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.