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1
MCQ (Single Correct Answer)

Consider a light beam incident from air to a glass slab at Brewster's angle as shown in 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.

A
For a particular orientation, there shall be darkness as observed through the polaroid
B
The intensity of light as seen through the polaroid shall be independent of the rotation
C
The intensity of light as seen through the polaroid shall go through a minimum but not zero for two orientations of the polaroid
D
The intensity of light as seen through the polaroid shall go through a minimum for four orientations of the polaroid
2
MCQ (Single Correct Answer)

Consider sunlight incident on a slit of width $10^4 \mathop A\limits^o$. The image seen through the slit shall

A
be a fine sharp slit white in colour at the centre
B
a bright slit white at the centre diffusing to zero intensities at the edges
C
a bright slit white at the centre diffusing to regions of different colours
D
only be a diffused slit white in colour
3
MCQ (Single Correct Answer)

Consider a ray of light incident from 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

A
$\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}+\pi$
B
$\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}$
C
$\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}+\frac{\pi}{2}$
D
$\frac{4 \pi d}{\lambda}\left(1-\frac{1}{n^2} \sin ^2 \theta\right)^{1 / 2}+2 \pi$
4
MCQ (Single Correct Answer)

In a 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,

A
there shall be alternate interference patterns of red and blue
B
there shall be an interference pattern for red distinct from that for blue
C
there shall be no interference fringes
D
there shall be an interference pattern for red mixing with one for blue
5
MCQ (Single Correct Answer)

Figure shows a standard two slit arrangement with slits $S_1, S_2, P_1, P_2$ are the two minima points on either side of $P$ (figure).

At $P_2$ on the screen, there is a hole and behind $P_2$ is a second 2-slit arrangement with slits $S_3, S_4$ and a second screen behind them.

A
There would be no interference pattern on the second screen but it would be lighted
B
The second screen would be totally dark
C
There would be a single bright point on the second screen
D
There would be a regular two slit pattern on the second screen