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Q. No.In a single slit diffraction pattern with slit width \(a\) and wavelength of light \(\lambda,\) then the angular position of first minima if screen distance \(D~(D \gg a)\) is:
1. \({\lambda\over a}\)
2. \({2\lambda\over a}\)
3. \({3\lambda\over 2a}\)
4. \({3\lambda\over a}\)
Subtopic: Diffraction |
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A light of wavelength \(6000 ~\mathring A\) in air enters a medium of refractive index \(1.5.\) If its frequency is \(\nu\) and wavelength is \(\lambda\) inside the medium, which of the following are correct?
(A) \(\nu= 5 \times 10 ^{14}~\text{Hz}\)
(B) \(\nu= 7.5 \times 10^{14}~\text{Hz}\)
(C) \(\lambda= 4000 ~\mathring A\)
(D) \(\lambda= 9000 ~\mathring A\)
Choose the correct option from the given ones:
(A) \(\nu= 5 \times 10 ^{14}~\text{Hz}\)
(B) \(\nu= 7.5 \times 10^{14}~\text{Hz}\)
(C) \(\lambda= 4000 ~\mathring A\)
(D) \(\lambda= 9000 ~\mathring A\)
Choose the correct option from the given ones:
| 1. | (A), (B) and (C) only |
| 2. | (A) and (C) only |
| 3. | (B) and (D) only |
| 4. | (B), (C) and (D) only |
Subtopic: Huygens' Principle |
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In Young's double slit experiment, if the wavelength of light used is increased (say from violet to red) then the:
| 1. | fringe width decreases. |
| 2. | fringe width increases. |
| 3. | central bright fringe becomes dark. |
| 4. | fringe width remains unaltered. |
Subtopic: Young's Double Slit Experiment |
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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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An interference pattern can be observed due to the superposition of more than one of the following waves:
(A) \(y=a\sin(\omega t)\)
(B) \(y=a\sin(2\omega t)\)
(C) \(y=a\sin\left(\omega t-\phi\right)\)
(D) \(y=a\sin(3\omega t)\)
Identify the waves from the options given below:
(A) \(y=a\sin(\omega t)\)
(B) \(y=a\sin(2\omega t)\)
(C) \(y=a\sin\left(\omega t-\phi\right)\)
(D) \(y=a\sin(3\omega t)\)
Identify the waves from the options given below:
| 1. | (B) and (C) only | 2. | (B) and (D) only |
| 3. | (A) and (C) only | 4. | (A) and (B) only |
Subtopic: Superposition Principle |
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A beam of unpolarised light of intensity \(I_0\) is passed through a polaroid \(A,\) through another polaroid \(B,\) oriented at \(60^\circ\) and finally through another polaroid \(C,\) oriented at \(45^\circ\) relative to \(B\) as shown in the figure. The intensity of the emergent light is:
| 1. | \(\dfrac{{I}_0}{16}\) | 2. | \(\dfrac{{I}_0}4\) |
| 3. | \(\dfrac{{I}_0}2\) | 4. | \(\dfrac{{I}_0}{32}\) |
Subtopic: Polarization of Light |
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In a wave having wavelength \(\lambda\), the path difference corresponding to the phase difference of \(\phi\) is:
| 1. | \(\dfrac{2\lambda}{\pi}\phi\) | 2. | \(\dfrac{2\pi}{\lambda}\phi\) |
| 3. | \(\dfrac{\lambda}{\pi}\phi\) | 4. | \(\dfrac{\lambda}{2\pi}\phi\) |
Subtopic: Superposition Principle |
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Two coherent sources produce waves of different intensities which interfere. After interference, the ratio of the maximum intensity to the minimum intensity is \(16.\) The intensity of the waves are in the ratio:
1. \(16:9\)
2. \(25:9\)
3. \(4:1\)
4. \(5:3\)
1. \(16:9\)
2. \(25:9\)
3. \(4:1\)
4. \(5:3\)
Subtopic: Superposition Principle |
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Young's double-slit experiment is performed with a slit separation of \(0.2~\text{mm},\) and the incident light falling normally on the double-slit. When the direction of incident light is changed by \(25\times10^{-3}\) radian, the central maximum shifts to the position of the \(10^{\text{th}}\) maximum. The wavelength of light used is:
1. \(250~\text{nm}\)
2. \(500~\text{nm}\)
3. \(1000~\text{nm}\)
4. \(1250~\text{nm}\)
1. \(250~\text{nm}\)
2. \(500~\text{nm}\)
3. \(1000~\text{nm}\)
4. \(1250~\text{nm}\)
Subtopic: Young's Double Slit Experiment |
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Young's double slit experiment is conducted under water \(\bigg(\mu={\large\frac{4}{3}}\bigg)\) where the slit-separation is \(0.2~\text{mm}\) and the slit-screen distance is \(50~\text{cm}.\) Monochromatic light is incident onto the double-slit, normal to its plane.
\(20\) fringes are formed under water \(\bigg(\mu={\large\frac{4}{3}}\bigg)\) over a screen-width of \(3~\text{cm}.\) The frequency of light used is:
1. \(5\times10^{14}~\text{Hz}\)
2. \(3.75\times10^{14}~\text{Hz}\)
3. \(10^{15}~\text{Hz}\)
4. \(1.875\times10^{14}~\text{Hz}\)
\(20\) fringes are formed under water \(\bigg(\mu={\large\frac{4}{3}}\bigg)\) over a screen-width of \(3~\text{cm}.\) The frequency of light used is:
1. \(5\times10^{14}~\text{Hz}\)
2. \(3.75\times10^{14}~\text{Hz}\)
3. \(10^{15}~\text{Hz}\)
4. \(1.875\times10^{14}~\text{Hz}\)
Subtopic: Young's Double Slit Experiment |
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