Which of the following pairs of physical quantities have the same dimensions,where one is a vector and the other is a scalar?

If $R$,$X_L$,and $X_C$ represent resistance,inductive reactance,and capacitive reactance respectively,then which of the following is dimensionless?

Match the following?

Column-$I$	Column-$II$
$(a)$ Ratio of change in time period of a simple pendulum with temperature to its original time period	$(i) \, \alpha \Delta T$
$(b)$ Ratio of the value of a length to its scale reading	$(ii) \, T$
$(c)$ Reciprocal of coefficient of volume expansion for an ideal gas of constant pressure	$(iii) \, (1 + \alpha \Delta T)$
$(d) \, \frac{F}{YA} =$	$(iv) \, \frac{1}{2} \alpha \Delta T$

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 is different from the others in terms of units?

The phenomenon of physics that deals with the constitution and structure of matter at the minute scales of atoms and nuclei is