Which of the following does not have the dimensions of force?

If $F_1$ and $F_2$ are the relative strengths of the gravitational and weak nuclear forces respectively, then $\frac{F_2}{F_1}$ is nearly

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	$(iii) \, (1 + \alpha \Delta T)$
$(d) \, \frac{F}{YA} =$	$(iv) \, \frac{1}{2} \alpha \Delta T$

In the context of accuracy of measurement and significant figures in expressing results of experiment,which of the following is/are correct?
$(1)$ Out of the two measurements $50.14 \, cm$ and $0.00025 \, A$,the first one has greater accuracy.
$(2)$ If one travels $478 \, km$ by rail and $397 \, m$ by road,the total distance travelled is $478 \, km$.

The equation of state of a gas is given by $\left( P + \frac{aT^2}{V} \right) V^c = (RT + b)$,where $a, b, c$ and $R$ are constants. The isotherms can be represented by $P = AV^m - BV^n$,where $A$ and $B$ depend only on temperature. Then:

Match List-$I$ and List-$II$:

List-$I$	List-$II$
$A$. Young's Modulus $(Y)$	$I$. $[M L^{-1} T^{-1}]$
$B$. Co-efficient of Viscosity $(\eta)$	$II$. $[M L^2 T^{-1}]$
$C$. Planck's Constant $(h)$	$III$. $[M L^{-1} T^{-2}]$
$D$. Work Function $(\varphi)$	$IV$. $[M L^2 T^{-2}]$

Choose the correct answer from the options given below: