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

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

Problem

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

g'

at a small height

h

(

h \ll R

) above the Earth’s surface, where

g

is the surface value and

R

is Earth’s radius? (a)

g' = g\left(1-\dfrac{h}{R}\right)

(b)

g' = g\left(1-\dfrac{h}{2R}\right)

(c)

g' = g\left(1-\dfrac{2h}{R}\right)

(d)

g' = g\left(1-\dfrac{2h^{2}}{R^{2}}\right)