For a small altitude above the Earth’s surface

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

Problem

For a small altitude

h

above the Earth’s surface, the acceleration due to gravity decreases to

g'

. The same value

g'

can be obtained at a depth

d

below the surface. Which relation between

d

and

h

is approximately correct (assume

h\ll R

)? (a)

d = h

(b)

d = \dfrac{h}{2}

(c)

d = 2h

(d)

d = \dfrac{h^{2}}{2R}