$A$ cube has numerically equal volume and surface area. The volume of such a cube is ........... $units$.

Match the following (Take the relative strength of the strongest fundamental forces in nature as $1$):

$I$ (Fundamental forces in nature)	$II$ (Relative strength)
$(A)$ Strong nuclear force	$(e)$ $10^{-2}$
$(B)$ Weak nuclear force	$(f)$ $1$
$(C)$ Electromagnetic force	$(g)$ $10^{10}$
$(D)$ Gravitational force	$(h)$ $10^{-13}$
	$(i)$ $10^{-39}$

The correct match is:

The pair having the same dimensions is

In an electromagnetic system,a quantity defined as the ratio of electric dipole moment and magnetic dipole moment has dimensions of $[M^P L^Q T^R A^S]$. The values of $P$ and $Q$ are:

Match the physical quantities given in List-$I$ with their dimensions in List-$II$.

List-$I$	List-$II$
$A$. Gravitational potential	$I$. $M^0 L^2 T^{-2} K^{-1}$
$B$. Stefan's constant	$II$. $M^0 L^2 T^{-2}$
$C$. Permittivity	$III$. $M L^0 T^{-3} K^{-4}$
$D$. Specific heat capacity	$IV$. $M^{-1} L^{-3} T^4 I^2$

$(The dimensions of mass, length, time, temperature and current are $M$, $L$, $T$, $K$ and $I$ respectively.)$

Which of the following pairs does not have similar dimensions?