Of the following quantities,which one has dimensions different from the remaining three?

Which physical quantities have the same dimension?

The equation of state of a gas is given by $\left( P + \frac{aT^2}{V} \right) V^c = (RT + b)$,where $a, b, c$ and $R$ are constants. The isotherms can be represented by $P = AV^m - BV^n$,where $A$ and $B$ depend only on temperature. Then:

Match the entries in List-$I$ with those in List-$II$.

$A$. Unified interaction reducing the number of fundamental forces from four to three	$(i)$ Strong interaction
$B$. Force between two molecules separated by a distance near about the sum of the molecular radii	$(ii)$ Gravitational force
$C$. Nuclear binding force	$(iii)$ Electroweak interaction
$D$. Bodies of astronomical proportions	$(iv)$ Electromagnetic interaction

The related effort to derive the properties of a bigger, more complex system from the properties and interactions of its constituent simpler parts is:

Which of the following represents the fundamental forces of nature?