Question

The ratio of gravitational mass to inertial mass is equal to.

• A. $\frac{1}{2}$
• B. $2$
• C. $1$
• D. $Noneofthese$

Answer 1

The correct option is C $1$

First you should understand what is inertial mass and what is gravitational mass.

$\therefore$ according to Newton's law, F = ma , here a is acceleration and m is mass. it is valid only inertial frame of reference. if we get mass by this formula {$m=\frac{F}{a}$} then, this mass is known as inertial mass}

it is also application of Newton's law. But here we won't use Newton's law of motion. here we use gravitational law. according to Newton's gravitational law, $F=\frac{GmM}{r^2}$, if we get mass by this formula {$m=\frac{F{r}^2}{GM}$} then, it is known as gravitational mass.

generally, inertial mass = gravitational mass

so, ratio of inertial mass to gravitational mass = 1