If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is :

Question

If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is : (A) (R2/M) (B) (M/R2) (C) MR2 (D) (M/R)

Tardigrade Admin · Accepted Answer

Gravitational acceleration is given by g=(G M/R2) where G= gravitational constant ∴ (g/G)=(M/R2)

Q. If $M$ is the mass of the earth and $R$ its radius, the ratio of the gravitational acceleration and the gravitational constant is :

$\frac{R ^{2}}{M}$

$\frac{M}{R ^{2}}$

$M R^{2}$

$\frac{M}{R}$

Gravitational acceleration is given by
$g = \frac{GM}{R ^{2}}$
where $G =$ gravitational constant
$∴ \frac{g}{G} = \frac{M}{R ^{2}}$

Q. If M is the mass of the earth and R its radius, the ratio of the gravitational acceleration and the gravitational constant is :

MR2​

R2M​

MR2

RM​