An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at \(30^\circ\) and \(90^\circ,\) respectively, with respect to the horizontal axis. A third polarizer with its transmission axis at \(60^\circ\) with the horizontal axis is placed between the two existing polarizers. The ratio of the output intensities with and without the third polarizer is:
1. \(3/4\)
2. \(4/3\)
3. \(9/4\)
4. \(4/9\)
Subtopic:  Polarization of Light |
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An unpolarized light is incident on the plane interface of air-dielectric medium shown in figure. If the incident angle is equal to Brewster angle, identify the expression representing reflected wave.
                             

1. \(\left(E_x \hat{i}+E_y \hat{j}\right) \sin (k x-k z-\omega t)\)
2. \(\left(E_x \hat{i}+E_z \hat{k}\right) \sin (k x+k y-\omega t)\)
3. \(\left(E_x \hat{j}+E_y \hat{k}\right) \sin (k y+k z-\omega t)\)
4. \(\left(E_x \hat{i}+E_y \hat{j}+E_z \hat{k}\right) \sin (k x+k y-k z-\omega t)\)
Subtopic:  Polarization of Light |
Level 3: 35%-60%
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When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam with respect to the normal is: 
\((\tan^{-1}(1.52)= 57.7^{\circ}\), refractive indices of air and glass are \(1.00\) and \(1.52\), respectively)
1. \(39.6^{\circ}\)
2. \(32.3^{\circ}\)
3. \(42.6^{\circ}\)
4. \(36.3^{\circ}\)
Subtopic:  Polarization of Light |
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Level 1: 80%+
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An unpolarised light is incident at an interface of two dielectric media having refractive indices of \(2\) (incident medium) and \(2\sqrt3\) (medium) respectively. To satisfy the condition that reflected and refracted rays are perpendicular to each other, the angle of incidence is:
1. \(60^\circ\)
2. \(10^\circ\)
3. \(30^\circ\)
4. \(45^\circ\)
Subtopic:  Polarization of Light |
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Level 2: 60%+
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Two polarisers \(P_1\) and \(P_2\) are placed in such a way that the intensity of the transmitted light will be zero. A third polariser \(P_3\) is inserted in between \(P_1\) and \(P_2,\) at particular angle between \(P_2\) and \(P_3.\) The transmitted intensity of the light passing the through all three polarisers is maximum. The angle between the polarisers \(P_2\) and \(P_3\) is:
1. \(\dfrac {\pi } {8}\)

2. \(\dfrac {\pi } {3}\)

3. \(\dfrac {\pi} { 6}\)

4. \(\dfrac {\pi} { 4}\)
Subtopic:  Polarization of Light |
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Which of the following phenomena cannot be explained using the wave theory of light?
(A) Reflection
(B) Diffraction
(C) Photoelectric effect
(D) Interference
(E) Polarisation

Choose the correct option from the given ones:
1. (E) only 2. (A), (C) only
3. (B), (D) only 4. (C) only
Subtopic:  Polarization of Light |
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The diagram shows the combination of three polaroids. The unpolarised light of intensity \({I}_0\) incident perpendicular to the axis of the polaroid \({P}_1.\) 
            
For maximum intensity of light transmitted through polaroid \(P_3,\) the angle \(\theta\) should be:
1. \(60^{\circ}\)
2. \(45^{\circ}\)
3. \(30^{\circ}\)
4. \(90^{\circ}\)
Subtopic:  Polarization of Light |
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Two polaroids are placed at an angle of \(45^\circ\) to each other. If an unpolarized light of intensity \(I_0\) falls as one polaroid, then the intensity of light leaves the second polaroid is:
1. \(\dfrac{I_0}{2}\) 2. \(\dfrac{I_0}{2 \sqrt{2}}\)
3. \(\dfrac{I_0}{4} \) 4. \( \dfrac{I_0}{8}\)
Subtopic:  Polarization of Light |
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Unpolarised light is incident on a transparent glass surface at an angle of \(60^\circ.\) If the reflected light is completely polarised, what is the angle of refraction?
1. \(45^\circ\) 2. \(60^{\circ}\)
3. \(30 ^\circ\) 4. \( 37^\circ\)
Subtopic:  Polarization of Light |
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An unpolarised light is incident on the boundary between two dielectric media with dielectric constants \(\varepsilon_1=2.8\) and \(\varepsilon_2=6.8.\)  If the reflected and refracted rays are perpendicular to each other, the angle of incidence is given by \(\tan ^{-1}\left(1+\dfrac{10}{\theta}\right)^{1/2}.\) What is the value of \(\theta \text{?}\)
(assume \(\mu_r=1\) for both the media)
1. \(21\) 2. \(28\)
3. \(7\) 4. \(14\)
Subtopic:  Polarization of Light |
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