A hollow, right circular cone of base radius $R$ and height $h$, with its tip at the origin is rotating about the $Z$-axis with an angular velocity $\omega$, as shown in the figure. The cone carries a total charge $Q$ uniformly distributed on its curved surface. The magnitude of magnetic field at a point $(0,0,z)$, where $z \gg R$ and $z \gg h$, is $$\frac{n\mu_0}{4\pi}\frac{Q R^2 \omega}{z^3}.$$ The value of $n$ is:

List-I shows four configurations made of straight and semi-circular narrow tubes containing air. A sound wave of wavelength $\lambda = 0.29\ \mathrm{m}$ enters these structures at the point $S$ and a sound detector is placed at $D$.

Between the points $S$ and $D$, the sound travels only through the tubes. List-II contains the possible smallest values of $l$ (refer to the figures) for which the detector $D$ records maximum amplitude. Ignore effects of sharp corners. [Given $\cos(15^\circ) = 0.97$]

Choose the option that best describes the match between the entries in List-I to those in List-II.

List-I	List-II
(P)	(1) $1.32 \text{ m}$
(Q)	(2) $1.19 \text{ m}$
(R)	(3) $0.51 \text{ m}$
(S)	(4) $0.29 \text{ m}$
	(5) $0.13 \text{ m}$

In the List-I, four optical effects are mentioned. The physical phenomena of light which are essential to describe these optical effects are given in List-II. Choose the option which describes the correct match between the entries in List-I to those in List-II.

List-I contains four conducting loops lying in the $XY$ plane, as shown in the figures. The loops are rotating about $Z$ axis passing through the point $O$ with time period $T$ in clockwise direction.

The region $x>0$ contains a uniform magnetic field $B$ in the $+z$ direction. List-II contains the qualitative variation of the induced current $i(t)$ for each of these loops. Choose the option which describes the correct match between the entries in List-I to those in List-II.

List-I	List-II
(P)	(1)
(Q)	(2)
(R)	(3)
(S)	(4)
	(5)