Which one of the following expressions gives the acceleration due to gravity at a…

PHYSICS · Single correct · CBSE · Physics · Gravitation · Gravitation

Problem

Which one of the following expressions gives the acceleration due to gravity

g_d

at a depth

d

below Earth’s surface (Earth’s radius

R

), assuming Earth has uniform density? (a)

g_d = g\left(1-\dfrac{2d}{R}\right)

(b)

g_d = g\left(1-\dfrac{d}{R}\right)^2

(c)

g_d = g\left(1-\dfrac{d}{R}\right)

(d)

g_d = g\left(\dfrac{R-d}{R}\right)^2