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Q. No.Consider sunlight incident on a pinhole of width \(10^{3}~\mathring{{A}}\). 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
Choose the correct option from the given ones:
1.
(a) and (c) only
2.
(a) and (d) only
3.
(b) and (d) only
4.
(b) and (c) only
Subtopic: Â Diffraction |
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Consider the diffraction pattern for a small pinhole. As the size of the hole is increased:
| (a) | the size decreases |
| (b) | the intensity increases |
| (c) | the size increases |
| (d) | the intensity decreases |
Choose the correct option from the given ones:
| 1. | (a) and (b) only | 2. | (a) and (c) only |
| 3. | (b) and (d) only | 4. | (c) and (d) only |
Subtopic: Â Diffraction |
 58%
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Two Sources \(S_1\) and \(S_2 \) of intensity \(I_1\) and \(I_2\) are 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. |
Choose the correct option:
| 1. | (a), (b), (c) | 2. | (a), (b), (d) |
| 3. | (b), (c), (d) | 4. | (c), (d) |
Subtopic: Â Young's Double Slit Experiment |
 55%
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In 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:
| 1. | there shall be alternate interference patterns of red and blue. |
| 2. | there shall be an interference pattern for red distinct from that for blue. |
| 3. | there shall be no interference fringes. |
| 4. | there shall be an interference pattern for red mixing with one for blue. |
Subtopic: Â Young's Double Slit Experiment |
 51%
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Consider sunlight incident on a slit of width \(10^{4}~\mathring{A}.\) The image seen through the slit shall:
| 1. | be a fine sharp slit white in colour at the centre |
| 2. | a bright slit white at the centre diffusing to zero intensities at the edges |
| 3. | a bright slit white at the centre diffusing to regions of different colours |
| 4. | only be a diffused slit white in colour |
Subtopic: Â Diffraction |
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White light is used to illuminate the double slit in Young's double-slit experiment. Which of the following is/are true?
1. I only
2. I, II
3. I, III
4. I, II, III
| I. | The central fringe will be white. |
| II. | Closest bright fringe to the central fringe will be a violet fringe. |
| III. | There will not be any dark fringe. |
2. I, II
3. I, III
4. I, II, III
Subtopic: Â Young's Double Slit Experiment |
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Find the minimum order of a green fringe (\(\lambda = 500\) nm) which overlaps a dark fringe of violet (\(\lambda = 400\) nm) in a Young's double-slit experiment conducted with these two colours.
1. \(4\)
2. \(2\)
3. \(5\)
4. \(2.5\)
1. \(4\)
2. \(2\)
3. \(5\)
4. \(2.5\)
Subtopic: Â Young's Double Slit Experiment |
 55%
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A double-slit experiment is performed with one slit four times as wide as the other. Assuming that the amplitude of light coming from a slit is proportional to the slit-width, the ratio of the maximum and minimum intensities on the screen, \(\dfrac{I_{max}}{I_{min}}=\)
| 1. | \(\dfrac{5}{3}\) | 2. | \(\dfrac{3}{1}\) |
| 3. | \(\dfrac{25}{9}\) | 4. | \(\dfrac{9}{1}\) |
Subtopic: Â Young's Double Slit Experiment |
 61%
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Plane waves of light of wavelength \(\lambda\) are incident onto a convex lens, and the beam is brought to a focus. A plane slab of thickness \(t\) having refractive indices \(\mu_1,~\mu_2\) in the upper and lower halves is placed parallel to the incoming wavefronts. The phase difference between the wavefronts at the focus, coming from the upper and lower halves of the slab is:
| 1. | \(\dfrac{2 \pi}{\lambda}\left[\left(\mu_{1}-1\right) t+\left(\mu_{2}-1\right) t\right]\) |
| 2. | \(\dfrac{2 \pi}{\lambda}\left(\mu_{1}-\mu_{2}\right) t\) |
| 3. | \(\dfrac{2 \pi}{\lambda}\left(\dfrac{t}{\mu_{1}}-\dfrac{t}{\mu_{2}}\right)\) |
| 4. | \(\dfrac{2 \pi}{\lambda}\left(\dfrac{t}{\mu_{1}}+\dfrac{t}{\mu_{2}}\right)\) |
Subtopic: Â Huygens' Principle |
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Light of wavelength \(\lambda\) falls perpendicularly onto a single slit of width \(d\). A diffraction maximum is formed at \(P\) on a faraway screen placed parallel to plane of the slit. The first diffraction minimum is formed at \(Q,\) as shown on the screen. Let \(C\) be a 'point' so that it divides the slit \(AB\) in the ratio \(\dfrac{AC}{CB}=\dfrac12,\) i.e. \(AC\) represents the upper \(\dfrac13^{rd}\) of the slit. The total amplitude of the oscillation arriving from \(AC\) at \(Q\) is \(A_1\) and from \(CB\) at \(Q\) is \(A_2\).
Then:
1. \(2 A_{1}=A_{2}\)
2. \(A_{1}=2 A_{2}\)
3. \(\sqrt{2} A_{1}=A_{2}\)
4. \(A_{1}=A_{2}\)
Then:
1. \(2 A_{1}=A_{2}\)
2. \(A_{1}=2 A_{2}\)
3. \(\sqrt{2} A_{1}=A_{2}\)
4. \(A_{1}=A_{2}\)
Subtopic: Â Diffraction |
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