Question

value of acceleration due to gravity decreases with_ in depth inside earth​

Answer 1

Answer:

gd = g(1-d/R)

d increase Acceleration due to Gravity decrease

Answer 2

Answer:

Value of Acceleration dud to gravity decreases with increase in depth inside earth.

This can be proved with the help of Gauss's Theorem applied in Gravitation, where the enclosed mass of Earth (at that depth) actually accounts for the gravitational pull.

Mathematically, it can be said as follows:

Let new gravity be g" , gravity at Earth surface be g, depth be d and radius of Earth be r, then

$g" = g(1 - \frac{d}{r} )$

So as per this Equation, as we increase the value of "d" , the value of g" decreases.