The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

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 List-$I$ with List-$II$:

List-$I$	List-$II$
$(A)$ Torque	$(I)$ $ML^{-2}T^{-2}$
$(B)$ Stress	$(II)$ $ML^2T^{-2}$
$(C)$ Pressure gradient	$(III)$ $ML^{-1}T^{-1}$
$(D)$ Coefficient of viscosity	$(IV)$ $ML^{-1}T^{-2}$

Choose the correct answer from the options given below:

State whether the following statements are true or false:
$(a)$ Weight is a fundamental physical quantity.
$(b)$ $A$ micrometer is used to measure the size of an oleic acid molecule at the molecular level.
$(c)$ The dimensions of a derived quantity obtained from any fundamental quantity can never be zero.

Which of the following pairs does not have the same dimensions?

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