In the expression $P = El^2m^{-5}G^{-2}$, $E$, $l$, $m$ and $G$ denote energy, mass, angular momentum and gravitational constant respectively. Show that $P$ is a dimensionless quantity.

With the usual notations, the following equation ${S_t} = u + \frac{1}{2}a(2t – 1)$ is

$A$ and $B$ possess unequal dimensional formula then following operation is not possible in any case:-

The dimensions of the area $A$ of a black hole can be written in terms of the universal gravitational constant $G$, its mass $M$ and the speed of light $c$ as $A=G^\alpha M^\beta c^\gamma$. Here,