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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
6
MCQ (Multiple Correct Answer)

Two sources $S_1$ and $S_2$ of intensity $I_1$ and $I_2$ are placed 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
7
MCQ (Multiple Correct Answer)

Consider sunlight incident on a pinhole of width $10^3 \mathop A\limits^o$. 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