Question

The relation connecting acceleration due to gravity and gravitational constant is:

• A. $g=\frac{GM}{R^2}$
• B. $g=\frac{GM}{R}$
• C. $g=GM{R}^2$
• D. $g=GMR$

Answer 1

The correct option is A $g=\frac{GM}{R^2}$

Let the gravitational force on any body on earth of mass $m$ be $F$

$F=\frac{GMm}{R^2}$

$F=mg$

$mg=\frac{GMm}{R^2}$

$g=\frac{GM}{R^2}$