Question

Consider the Earth to be a homogenous sphere. Scientist A goes deep down in a mine and scientist B goes high up in a balloon. The gravitation field measured by

• A. A goes on decreasing and that by B goes on increasing
• B. B goes a decreasing and that by A goes on increasing
• C. each remains unchanged
• D. each goes on decreasing

Answer 1

The correct option is D each goes on decreasing

Gravitational field inside the earth varies as

$g=\frac{GM}{r^2}\frac{r^3}{R^3}=\frac{GMr}{R^3}$

Gravitational field outside the earth varies as

$g=\frac{GM}{r_2}$

In both the cases, g decreases as we move away from earth's surface.