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 pairs of quantities do not have the same dimensions?

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	$IV$. $ML^2T^{-3}A^{-1}$

Identify the incorrect statement among the following.

The coefficients of thermal expansion of steel and a metal $X$ are respectively $12 \times 10^{-6} /^{\circ}C$ and $2 \times 10^{-6} /^{\circ}C$. At $40^{\circ}C$,the side of a cube of metal $X$ was measured using a steel vernier callipers. The reading was $100 \, mm$. Assuming that the calibration of the vernier was done at $0^{\circ}C$,then the actual length of the side of the cube at $0^{\circ}C$ will be:

Identify the physical quantity that has the unit $N\,m^{-1}\,s^{-2}$.