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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 |
Level 3: 35%-60%
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Young's double-slit experiment is conducted with light of wavelength \(\lambda.\) The double-slit is shifted towards the source by a distance \(L,\) and the position of the \(5^{\text{th}}\) fringe is shifted by:
| 1. | \(\dfrac{5\lambda D}{d}\) | 2. | \(\dfrac{5\lambda L}{d}\) |
| 3. | \(\dfrac{5\lambda (L+D)}{d}\) | 4. | \(\dfrac{5\lambda (L-D)}{d}\) |
Subtopic: Â Young's Double Slit Experiment |
Level 3: 35%-60%
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Young's double-slit experiment is conducted with light of an unknown wavelength, the waves arriving at the central point on the screen are found to have a phase difference of \(\dfrac{\pi}{2}.\) The closest maximum to the central point is formed behind one of the slits. The separation between the slits is \(d,\) and the slit to screen separation is \(D.\) The longest wavelength for this to happen is:
| 1. | \(\dfrac{2d^2}{D}\) | 2. | \(\dfrac{2d^2}{3D}\) |
| 3. | \(\dfrac{d^2}{2D}\) | 4. | \(\dfrac{d^2}{6D}\) |
Subtopic: Â Young's Double Slit Experiment |
Level 3: 35%-60%
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In a Young's double-slit experiment with identical slits (of slit separation-\(d,\) slit to screen distance \(D\)), the phase difference between the waves arriving at a point just opposite to one of the slits is \(\dfrac{\pi}{2}.\) The source is placed symmetrically with respect to the slits. The wavelength of light is:
| 1. | \(\dfrac{2d^2}{D}\) | 2. | \(\dfrac{d^2}{2D}\) |
| 3. | \(\dfrac{d^2}{D}\) | 4. | \(\dfrac{D^2}{d}\) |
Subtopic: Â Young's Double Slit Experiment |
 56%
Level 3: 35%-60%
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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 |
 52%
Level 3: 35%-60%
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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 |
 56%
Level 3: 35%-60%
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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 |
 57%
Level 3: 35%-60%
Hints
Young's double-slit experiment is performed with identical slits separated by a distance \(d,\) and with light of wavelength \(\lambda.\) The screen is placed at a point which is at a distance \(D\) from the double-slit, as usual. A convex lens of focal length \(f\) is inserted between the double-slit and the screen, very close to the double slit. The screen is adjusted (i.e. the value of \(D\) is slowly varied) until a clear interference pattern is formed. The fringe width equals:
| 1. | \(\dfrac{\lambda f}{d}\) | 2. | \(\dfrac{2\lambda f}{d}\) |
| 3. | \(\dfrac{\lambda f}{2d}\) | 4. | \(\dfrac{\lambda f}{d\sqrt2}\) |
Subtopic: Â Young's Double Slit Experiment |
 59%
Level 3: 35%-60%
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A monochromatic light of frequency \(500~\text{THz}\) is incident on the slits of Young's double slit experiment. If the distance between the slits is \(0.2~\text{mm}\) and the screen is placed at a distance \(1~\text{m}\) from the slits, the width of \(10\) fringes will be:
| 1. | \(1.5~\text{mm}\) | 2. | \(15~\text{mm}\) |
| 3. | \(30~\text{mm}\) | 4. | \(3~\text{mm}\) |
Subtopic: Â Young's Double Slit Experiment |
 60%
Level 2: 60%+
NEET - 2022
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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 |
 60%
Level 2: 60%+
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