For depths that are small compared with the Earth’s radius

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

Problem

For depths

d

that are small compared with the Earth’s radius

R

, which expression gives the acceleration due to gravity

g_d

at that depth in terms of the surface value

g

? (a)

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

(b)

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

(c)

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

(d)

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