Question

A tunnel has been dug into a solid sphere of non-uniform mass density as shown in the figure.
As one moves from A to B, the magnitude of gravitational field intensity.

• A. Will continuously decrease
• B. Will decrease up to the centre of the sphere and then increase
• C. May increase or decrease
• D. Will continuously increase

Answer 1

Answer: (C)

May increase or decrease

Gravitational field at distance $x$ from centre of solid sphere inside sphere $=\frac{GM}{R^3}.x$

$\therefore$ As one moves from $A$ to $B$ magnitude of gravitational field intensity will decrease upto centre then increase.