Consider a light beam incident from air to a glass slab at Brewster's angle as shown in the figure. A polaroid is placed in the path of the emergent ray at point \(P\) and rotated about an axis passing through the centre and perpendicular to the plane of the polaroid. Then:
              

Consider sunlight incident on a slit of width ${10}^4$ $\stackrel{\circ }{\mathrm{A}}$. The image seen through the slit shall

Consider a ray of light incident from the air onto a slab of glass (refractive index n) of width d, at an angle $\theta$. The phase difference between the ray reflected by the top surface of the glass and the bottom surface is:

1. \(\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}+\pi\)

2. \(\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}\)

3. \(\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}+\frac{\pi}{2}\)

4. \(\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}+2\pi\)

In Young's double-slit experiment, the source is white light. One of the holes is covered by a red filter and another by a blue filter. In this case,
 

The figure shows a standard two-slit arrangement with slits ${\mathrm{S}}_1, {\mathrm{S}}_2. {\mathrm{P}}_1, {\mathrm{P}}_2$ are the two minima points on either side of P as shown in the figure.

At ${\mathrm{P}}_2$ on the screen, there is a hole and behind ${\mathrm{P}}_2$ is a second 2-slit arrangement with slits ${\mathrm{S}}_3, {\mathrm{S}}_4$ and a second screen behind them. 
 

Two Sources ${\mathrm{S}}_1 \mathrm{and} {\mathrm{S}}_2$ of intensity $I_1 and l_2$ are in front of a screen [Fig.(a)]. The pattern of intensity distribution seen in the central portion is given by Fig.(b).

In this case, which of the following statements are true?

(a) $S_{1}and S_2$ have the same intensities
(b) $S_{1}and S_2$ have a constant phase difference
(c) $S_{1}and S_2$ have the same phase
(d) $S_{1}and S_2$ have the same wavelength 

1. (a, b, c)

2. (a, b, d)

3. (b, c, d)

4. (c, d)

Consider sunlight incident on a pinhole of width ${10}^3$ $\stackrel{\circ }{A}$. The image of the pinhole seen on a screen shall be:

(a) a sharp white ring
(b) different from a geometrical image
(c) a diffused central spot, white in colour
(d) diffused coloured region around a sharp central white spot

1. (a, c)

2. (a, d)

3. (b, d)

4. (b, c)

Consider the diffraction pattern for a small pinhole. As the size of the hole is increased:

(a) the size decreases
(b) the intensity increases
(c) the size increases
(d) the intensity decreases

1. (a, b)

2. (a, c)

3. (b, d)

4. (c, d)

For light diverging from a point source: