A small circular loop of area $A$ and resistance $R$ is fixed on a horizontal $xy$-plane with the center of the loop always on the axis $\hat{\mathrm{n}}$ of a long solenoid. The solenoid has $m$ turns per unit length and carries current $I$ counter clockwise as shown in the figure. The magnetic field due to the solenoid is in $\hat{\mathrm{n}}$ direction. List-I gives time dependences of $\hat{\mathrm{n}}$ in terms of a constant angular frequency $\omega$. List-II gives the torques experienced by the circular loop at time $t=\frac{\pi }{6\omega }$, Let $\alpha =\frac{A^2{\mu }_0^2{m}^2{I}^2\omega }{2R}$.

	List-I		List-II
(i)	$\frac{1}{\sqrt{2}}\left(\sin \omega t\hat{\mathrm{j}}+\cos \omega t\hat{\mathrm{k}}\right)$	(p)	$0$
(ii)	$\frac{1}{\sqrt{2}}\left(\sin \omega t\hat{\mathrm{i}}+\cos \omega t\hat{\mathrm{j}}\right)$	(q)	$-\frac{\alpha }{4}\hat{\mathrm{i}}$
(iii)	$\frac{1}{\sqrt{2}}\left(\sin \omega t\hat{\mathrm{i}}+\cos \omega t\hat{\mathrm{k}}\right)$	(r)	$\frac{3\alpha }{4}\hat{\mathrm{i}}$
(iv)	$\frac{1}{\sqrt{2}}\left(\cos \omega t\hat{\mathrm{j}}+\sin \omega t\hat{\mathrm{k}}\right)$	(s)	$\frac{\alpha }{4}\hat{\mathrm{j}}$
		(t)	$-\frac{3\alpha }{4}\hat{\mathrm{i}}$

Which one of the following options is correct?

1. A $\mathrm{i}\to \mathrm{q},\mathrm{ii}\to \mathrm{p},\mathrm{iii}\to \mathrm{s},\mathrm{iv}\to \mathrm{t}$
2. B $\mathrm{i}\to \mathrm{s},\mathrm{ii}\to \mathrm{t},\mathrm{iii}\to \mathrm{q},\mathrm{iv}\to \mathrm{p}$
3. C $\mathrm{i}\to \mathrm{q},\mathrm{ii}\to \mathrm{p},\mathrm{iii}\to \mathrm{s},\mathrm{iv}\to \mathrm{r}$
4. D $\mathrm{i}\to \mathrm{t},\mathrm{ii}\to \mathrm{q},\mathrm{iii}\to \mathrm{p},\mathrm{iv}\to \mathrm{r}$