Question

Which of the following expressions give the value of acceleration due to gravity (g') at the altitude h above the surface of Earth.
(R = radius of Earth, g = acceleration due to gravity at surface of Earth)

• A. $g'=g(\frac{h^{2}}{R^{2}})$
• B. $g'=g(\frac{R^{2}}{(R+h)^{2}})$
• C. $g'=g(\frac{1-h}{R})$
• D. $g'=g(\frac{1-h^{2}}{R^{2}})$

Answer 1

Answer: (B)

$g'=g(\frac{R^{2}}{(R+h)^{2}})$

Answer 2

The expression that gives the value of acceleration due to gravity (g') at the altitude h above the surface of Earth is:
$g'=g(\frac{R^{2}}{(R+h)^{2}})$
Therefore, the correct expression is:
$g'=g(\frac{R^{2}}{(R+h)^{2}})$

So, the correct option is (B): $g'=g(\frac{R^{2}}{(R+h)^{2}})$