Question

State SI unit and obtain dimensions of universal gravitational constant.

Answer 1

Si unit - newton's meter square
DF - M*-1 L*3 T*-2

Answer 2

Answer with xplanation:

We know that the gravitational force is  given by:

$F=\frac{Gm_1m_2}{r^2}$

Consider two bodies having the masses, $m_1$ and $m_2$ which are separated by a distance $r$, so the force is then directly proportional to the product of their masses.

While the force will be inversely proportional to the squared distance between them.

The constant of proportionality here will be the universal gravitational constant.

$G=\frac{Fr^2}{m_1m_2}$

SI units of force are N (newton) while of distance = m (meters).

Substituting this in the above equation to get:

G = $\frac{Nm^2}{kg^2}$ or G = $Nm^2kg^{-2}$

Also its dimensional formula = [M⁻¹L³T⁻²]