The geometrical path of a ray of light in a medium of refractive index 2 is 8 m. The optical  path is

1.  16 m

2.  4 m

3.  2 m

4.  1 m

In Young's double-slit experiment if the separation of the screen is increases from slits, the fringe width will 

1.  Decrease

2.  Increase

3.  Remain the same

4.  Any of the above depending on the wavelength of the light used

Five identical polaroids are placed coaxially with \(45^{\circ}\) angular separation between pass axes of adjacent polaroids as shown in the figure. (\(I_0\): Intensity of unpolarized light)
          
The intensity of light, \(I\), emerging out of the \(5\)^th polaroid is:

In Young's double-slit experiment, how many minimas can be obtained on a screen, if the wavelength of light used is 2000 $\stackrel{\mathrm{o}}{\mathrm{A}}$ and slit width is 0.0008 mm?

1.  6

2.  7

3.  8

4.  9

When YDSE is carrying out in liquid, 5th bright fringe lies at a point on the screen where 3rd dark fringe was lying in the air. The refractive index of the medium is

1.  1.5

2.  3

3.  2

4.  1.2

In Young's double-slit experiment, the ratio of maximum intensity at a point to the intensity at the same point when one slit is closed, is:
1. \(2\)
2. \(3\)
3. \(4\)
4. \(1\)

Two light waves given below superimpose at a point.

$y_1=a\sin \left(2\mathrm{\pi t}\right)$
${\mathrm{y}}_2=2\mathrm{asin}\left(2\mathrm{\pi t}+\frac{\mathrm{\pi }}{3}\right)$.

The resultant amplitude of the waves is

1.  $a\sqrt{6}$

2.  $a\sqrt{5}$

3.  $a\sqrt{3}$

4.  $a\sqrt{7}$

When a transparent sheet of thickness t and refractive index $\mu$ is introduced in one of the paths in YDSE having slit width d and distance between slits and screen is D, then the fringe pattern shifts by

1.  $\frac{d}{D}\left(\mu -1\right)t$

2.  $\frac{d}{D\left(\mu -1\right)t}$

3.  $\frac{D}{d}\left(\mu -1\right)t$

4.  $\frac{dt}{\left(\mu -1\right)D}$

Which statement is not true for the polarization of light?

1. Light vibrations are restrained only in one plane.
2. Establishes the longitudinal nature of light.
3. The intensity of light decreases.
4. Both (2) & (3)

The intensity of the polarized light becomes $\frac{1}{a}$ times its initial intensity. The angle between the axis of analyzer and polarizer is

1.  $\theta = {\tan }^{-1}\sqrt{a-1}$

2.  $\theta = {\tan }^{-1}\left(\frac{1}{\sqrt{a}}\right)$

3.  $\mathrm{\theta } = {\sin }^{-1}\sqrt{\mathrm{a}-1}$

4.  $\mathrm{\theta } = {\sin }^{-1}\left(\frac{1}{\sqrt{\mathrm{a}}}\right)$