Q. No.Two superposing waves are represented by the following equations:
\(y_1=5 \sin 2 \pi(10{t}-0.1 {x}), {y}_2=10 \sin 2 \pi(10{t}-0.1 {x}).\)
Ratio of intensities \(\frac{I_{max}}{I_{min}}\) will be:
1. \(1\)
2. \(9\)
3. \(4\)
4. \(16\)
1. \(7\)
2. \(5\)
3. \(\sqrt{7}\)
4. \(6.5\)
If an interference pattern has maximum and minimum intensities in a \(36:1\) ratio, then what will be
the ratio of their amplitudes?
1. \(5:7\)
2. \(7:4\)
3. \(4:7\)
4. \(7:5\)
Two sources with intensity \(I_0\) and \(4I_0\) respectively interfere at a point in a medium. The maximum and the minimum possible intensity respectively would be:
1. \(2I_0, I_0\)
2. \(9I_0, 2I_0\)
3. \(4I_0, I_0\)
4. \(9I_0, I_0\)
If the ratio of amplitudes of two coherent sources producing an interference pattern is \(3:4\), the ratio of intensities at maxima and minima is:
1. \(3:4\)
2. \(9:16\)
3. \(49:1\)
4. \(25:7\)
| Column-I | Column-II | ||
| a. | If \({\Delta x}={\lambda \over 3}\) | (p) | resultant intensity will be \(3I_0\) |
| b. | If \(\phi = 60^{\circ}\) | (q) | resultant intensity will be \(I_0\) |
| c. | If \({\Delta x}={\lambda \over 4}\) | (r) | resultant intensity will be zero |
| d. | If \(\phi = 90^{\circ}\) | (s) | resultant intensity will be \(2I_0\) |
| 1. | a(q), b(p), c(s), d(s) |
| 2. | a(s), b(p), c(s), d(q) |
| 3. | a(q), b(s), c(s), d(p) |
| 4. | a(s), b(r), c(q), d(r) |
Two light sources are said to be coherent when their:
| 1. | amplitudes are equal and have a constant phase difference. |
| 2. | wavelengths are equal. |
| 3. | intensities are equal. |
| 4. | frequencies are equal and have a constant phase difference. |
Two waves, each of intensity \(i_{0}\)
| 1. | \(2i_{0}\) | 2. | \(i_{0}\) |
| 3. | \(i_{0}/2\) | 4. | zero |
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
Light waves of intensities \(I\) and \(9I\) interfere to produce a fringe pattern on a screen. The phase difference between the waves at point \(P\) is \(\frac{3\pi}{2}\) and \(2\pi\) at other point \(Q\). The ratio of intensities at \(P\) and \(Q\) is:
1. \(8:5\)
2. \(5:8\)
3. \(1:4\)
4. \(9:1\)
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