Q. No.(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 |
Two coherent sources of light interfere and produce fringe patterns on a screen. For the central maximum, the phase difference between the two waves will be:
1. zero
2. \(\pi\)
3. \(\dfrac{3\pi}{2}\)
4. \(\dfrac{\pi}{2}\)
| 1. | \(\dfrac{\sqrt{n}}{n+1}\) | 2. | \(\dfrac{2\sqrt{n}}{n+1}\) |
| 3. | \(\dfrac{\sqrt{n}}{(n+1)^2}\) | 4. | \(\dfrac{2\sqrt{n}}{(n+1)^2}\) |
| 1. | fringe width decreases. |
| 2. | fringe width increases. |
| 3. | central bright fringe becomes dark. |
| 4. | fringe width remains unaltered. |
| 1. | there will be a central dark fringe surrounded by a few coloured fringes. |
| 2. | there will be a central bright white fringe surrounded by a few coloured fringes. |
| 3. | all bright fringes will be of equal width. |
| 4. | interference pattern will disappear. |
| Statement I: | If screen is moved away from the plane of slits, angular separation of the fringes remains constant. |
| Statement Ii: | If the monochromatic source is replaced by another monochromatic source of larger wavelength, the angular separation of fringes decreases. |
| 1. | Statement I is False but Statement II is True. |
| 2. | Both Statement I and Statement II are True. |
| 3. | Both Statement I and Statement II are False. |
| 4. | Statement I is True but Statement II is False. |
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. | \(3~\text{mm}\) |
In a double-slit experiment, when the light of wavelength \(400~\text{nm}\) was used, the angular width of the first minima formed on a screen placed \(1~\text{m}\) away, was found to be \(0.2^{\circ}.\) What will be the angular width of the first minima, if the entire experimental apparatus is immersed in water? \(\left(\mu_{\text{water}} = \dfrac{4}{3}\right)\)
1. \(0.1^{\circ}\)
2. \(0.266^{\circ}\)
3. \(0.15^{\circ}\)
4. \(0.05^{\circ}\)
The intensity at the maximum in Young's double-slit experiment is \(I_0\). The distance between the two slits is \(d= 5\lambda\), where \(\lambda \) is the wavelength of light used in the experiment. What will be the intensity in front of one of the slits on the screen placed at a distance \(D = 10 d\)?
| 1. | \(\dfrac{I_0}{4}\) | 2. | \(\dfrac{3}{4}I_0\) |
| 3. | \(\dfrac{I_0}{2}\) | 4. | \(I_0\) |
In Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is \(\lambda\) is \(K\), (\(\lambda\) being the wavelength of light used). The intensity at a point where the path difference is \(\frac{\lambda}{4}\) will be:
1. \(K\)
2. \(\frac{K}{4}\)
3. \(\frac{K}{2}\)
4. zero
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