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_h

at a height

h

above Earth’s surface in terms of the surface value

g

and Earth’s radius

R_{\rm E}

? (a)

g_h = g\dfrac{R_{\rm E}}{R_{\rm E}+h}

(b)

g_h = g\dfrac{(R_{\rm E}+h)^2}{R_{\rm E}^2}

(c)

g_h = g\dfrac{R_{\rm E}^2}{(R_{\rm E}+h)^2}

(d)

g_h = g\left(1-\dfrac{h}{R_{\rm E}}\right)