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

Let $L, R, C$ and $V$ represent inductance,resistance,capacitance,and voltage,respectively. The dimension of $\frac{L}{RCV}$ in $SI$ units will be:

The dimensions of pressure are equal to

Which two of the following five physical parameters have the same dimensions $?$
$(1)$ energy density
$(2)$ refractive index
$(3)$ dielectric constant
$(4)$ Young's modulus
$(5)$ magnetic field

Match the following physical quantities in $LIST$-$I$ with their dimensional formulas in $LIST$-$II$:

$LIST$-$I$	$LIST$-$II$
$A$. Planck's constant	$I$. $ML^2T^{-2}$
$B$. Stopping potential	$II$. $T^{-1}$
$C$. Work function	$III$. $ML^2T^{-1}$
$D$. Threshold frequency	$IV$. $ML^2T^{-3}A^{-1}$

The density of water is $1000 \; kg \; m^{-3}$. The density of water vapour at $100^{\circ} C$ and $1 \; atm$ pressure is $0.6 \; kg \; m^{-3}$. The volume of a molecule multiplied by the total number gives what is called molecular volume. Estimate the volume of a water molecule.