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Q. No.An unpolarized light of certain intensity passes through a combination of two polarizers whose transmission axes are at \(30^\circ\) \(60^\circ\)
1. \(3/4\)
2. \(4/3\)
3. \(9/4\)
4. \(4/9\)
1. \(3/4\)
2. \(4/3\)
3. \(9/4\)
4. \(4/9\)
Subtopic: Polarization of Light |
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Level 2: 60%+
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In a double slit experiment, when one of the slits is covered by a transparent mica sheet of refractive index \(1.56,\) the central fringe shifts to the position of \(7^\text{th}\) bright fringe, obtained with both slits uncovered. If the light source wavelength is \(450~\text{nm},\) the thickness of mica sheet is \(\alpha \times 10^{-9} ~\text{m} .\) The value of \(\alpha\) is:
1. \(4500\)
2. \(5625\)
3. \(6300\)
4. \(7200\)
Subtopic: Young's Double Slit Experiment |
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In a Young's double slit experiment, the intensity at some point on the screen is found to be \(\dfrac{3}{4}\) times of the maximum of the interference pattern. The path difference between the interfering waves at this point is \(\dfrac{\lambda}{x}\) where \(\lambda\) is wavelength of the incident light. The value of \(x\) is:
1. \(3\)
2. \(5\)
3. \(6\)
4. \(8\)
1. \(3\)
2. \(5\)
3. \(6\)
4. \(8\)
Subtopic: Young's Double Slit Experiment |
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In a Young double slit experiment, the wavelength of incident light is \(6000 \mathring{A},\) the separation between slits \(S_1\) and \(S_2\) is \(5~\text{cm}\) and the distance between slits plane and screen is \(50~\text{cm},\) as shown in the figure below. If the resultant intensity at \(P~\)is equal to the intensity due to individual slits, the path difference between interfering waves is: (in \(\mathring{A}\))
1. \(4000\)
2. \(3000\)
3. \(2000\)
4. \(1000\)
1. \(4000\)
2. \(3000\)
3. \(2000\)
4. \(1000\)
Subtopic: Young's Double Slit Experiment |
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In interference experiment the path difference between two interfering waves at a point \(A\) on the screen is \(\lambda/3,\) where \(\lambda\) is the wavelength of these waves, and at another point \(B\) the path difference is \(\lambda/6.\) The ratio of intensities at points \(A\) and \(B\) is:
1. \(3\)
2. \(4\)
3. \(1/3\)
4. \(1/4\)
1. \(3\)
2. \(4\)
3. \(1/3\)
4. \(1/4\)
Subtopic: Young's Double Slit Experiment |
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In single slit diffraction pattern, the wavelength of light used is \(628~\text{nm}\) and slit width is \(0.2 ~\text{mm}\), the angular width of central maximum is \(\alpha\times10^{-2}\) degrees. The value of \(\alpha\) is:
1. \(30\)
2. \(36\)
3. \(40\)
4. \(45\)
1. \(30\)
2. \(36\)
3. \(40\)
4. \(45\)
Subtopic: Young's Double Slit Experiment |
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In Young's double slit experiment, the fringe width of the interference pattern produced on the screen is \(2.4~\mu\text{m} .\) If the experiment is carried out in another medium having refractive index \(1.2\), the fringe width will be: (in \(\mu \text{m}\))
1. \(1.2\)
1. \(2\)
3. \(2.4\)
4. \(2.88\)
1. \(1.2\)
1. \(2\)
3. \(2.4\)
4. \(2.88\)
Subtopic: Young's Double Slit Experiment |
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The maximum intensity in a Young's double slit experiment is \(I_0\). ( \(d\) )
1. \(\dfrac{I_0}{4}\)
2. \(\dfrac{I_0}{2}\)
3. \(I_{0}\)
4. \(\dfrac{3 I_0}{4}\)
1. \(\dfrac{I_0}{4}\)
2. \(\dfrac{I_0}{2}\)
3. \(I_{0}\)
4. \(\dfrac{3 I_0}{4}\)
Subtopic: Young's Double Slit Experiment |
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A slit of widths \(a\) is illuminated by light of wavelength \(\lambda\). The linear separation between \(1^{\text{st}}\) and \(3^{\text{rd}}\) minima in the diffraction pattern produced on a screen placed at distance \(D\) from the slit system is:
1. \(\dfrac{D \lambda}{a}\)
2. \(1.5 \dfrac{D\lambda}{a}\)
3. \(2\dfrac{D\lambda}{a}\)
4. \(3\dfrac{D\lambda}{a}\)
1. \(\dfrac{D \lambda}{a}\)
2. \(1.5 \dfrac{D\lambda}{a}\)
3. \(2\dfrac{D\lambda}{a}\)
4. \(3\dfrac{D\lambda}{a}\)
Subtopic: Diffraction |
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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. \(\left(E_x \hat{i}+E_y \hat{j}+E_z \hat{k}\right) \sin (k x+k y-k z-\omega t)\)
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 |
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