Q. No.1. 2: 3
2. 16: 81
3. 25: 169
4. 25: 1
1. \(16:9\)
2. \(25:9\)
3. \(4:1\)
4. \(5:3\)
1. 3
2. 4
3. 2
4. 1
Interference fringes are observed on a screen by illuminating two thin slits \(1\) mm apart with a light source (\(\lambda =632.8~\mathrm{nm}\)). The distance between the screen and the slits is \(100\) cm. If a bright fringe is observed on a screen at a distance of \(1.27\) mm from the central bright fringe, then the path difference between the waves, which are reaching this point from the slits is close to:
1. \(1.27~\mathrm{\mu m}\)
2. \(2~\mathrm{nm}\)
3. \(2.87~\mathrm{nm}\)
4. \(2.05~\mathrm{\mu m}\)
In the phenomenon of interference of light, what happens to the energy?
| 1. | It is conserved but redistributed. |
| 2. | It is the same at every point. |
| 3. | It is not conserved. |
| 4. | It is created at the bright fringes. |
(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 |
1. \(2~\text I\)
2. \(6~\text I\)
3. \(5~\text I\)
4. \(7~\text I\)
| 1. | \(\dfrac{2\lambda}{\pi}\phi\) | 2. | \(\dfrac{2\pi}{\lambda}\phi\) |
| 3. | \(\dfrac{\lambda}{\pi}\phi\) | 4. | \(\dfrac{\lambda}{2\pi}\phi\) |
The equations of two light waves are given by:
\(y_1=6~\text{cos}(\omega t)\) & \(y_2=8~\text{cos}(\omega t+\phi).\)
What is the ratio of the maximum to the minimum intensities produced by the superposition of these waves?
1. \(49:1\)
2. \(1:49\)
3. \(1:7\)
4. \(7:1\)
| 1. | \(\dfrac{\sqrt{n}}{n+1}\) | 2. | \(\dfrac{2\sqrt{n}}{n+1}\) |
| 3. | \(\dfrac{\sqrt{n}}{(n+1)^2}\) | 4. | \(\dfrac{2\sqrt{n}}{(n+1)^2}\) |
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