Question

The relationship between acceleration due to gravity($g$) and universal gravitational constant($G$) may be represented as:
($M$ and $R$ are the mass and radius of the earth respectively )

• A. $G=\frac{gM}{R^2}$
• B. $g=\frac{GM}{R^2}$
• C. $g=\frac{G}{R^2}$
• D. None of these

Answer 1

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

Gravitational force acting on the mass $m$ $F_g=\frac{GMm}{R^2}$

But $F_g=mg$

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

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