Q. No.Two superposing waves are represented by the following equations: \(y_1=5 \sin 2 \pi(10{t}-0.1 {x}), {y}_2=10 \sin 2 \pi(10{t}-0.1 {x}).\)
The ratio of intensities \(\dfrac{I_{max}}{I_{min}}\) will be:
1. \(1\)
2. \(9\)
3. \(4\)
4. \(16\)
The ratio of intensities \(\dfrac{I_{max}}{I_{min}}\) will be:
1. \(1\)
2. \(9\)
3. \(4\)
4. \(16\)
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In Young's double-slit experiment, the light emitted from the source has \(\lambda = 6.5\times 10^{-7}~\text{m}\) and the distance between the two slits is \(1~\text{mm}.\) The distance between the screen and slits is \(1~\text m.\) The distance between third dark and fifth bright fringe will be:
1. \(3.2~\text{mm}\)
2. \(1.63~\text{mm}\)
3. \(0.585~\text{mm}\)
4. \(2.31~\text{mm}\)
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In Young's double-slit experiment, the slit separation is doubled. This results in:
| 1. | An increase in fringe intensity |
| 2. | A decrease in fringe intensity |
| 3. | Halving of the fringe spacing |
| 4. | Doubling of the fringe spacing |
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Unpolarized light of intensity \(32\) Wm–2 passes through three polarizers such that the transmission axes of the first and second polarizer make an angle of \(30^{\circ}\) with each other and the transmission axis of the last polarizer is crossed with that of the first. The intensity of the final emerging light will be:
1. \(32\) Wm–2
2. \(3\) Wm–2
3. \(8\) Wm–2
4. \(4\) Wm–2
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1. \(7\)
2. \(5\)
3. \(\sqrt{7}\)
4. \(6.5\)
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| 1. | \(\dfrac{1}{\sqrt{3}}\) | 2. | \(\dfrac{3}{2}\) |
| 3. | \(\sqrt{3}\) | 4. | \(\dfrac{\sqrt{3}}{2}\) |
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Five identical polaroids are placed coaxially with \(45^{\circ}\) angular separation between pass axes of adjacent polaroids as shown in the figure. (\(I_0\): Intensity of unpolarized light)
The intensity of light, \(I\),
emerging out of the \(5\)th polaroid is:
| 1. | \(\dfrac{I_0}{4}\) | 2. | \(\dfrac{I_0}{8}\) |
| 3. | \(\dfrac{I_0}{16}\) | 4. | \(\dfrac{I_0}{32}\) |
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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. |
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1. \(8:5\)
2. \(5:8\)
3. \(1:4\)
4. \(9:1\)
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Two coherent sources are \(0.3~\text{mm}\) apart. They are \(1~\text{m}\) away from the screen. The second dark fringe is at a distance of \(0.3~\text{cm}\) from the center. The distance of the fourth bright fringe from the centre is:
1. \(0.6~\text{cm}\)
2. \(0.8~\text{cm}\)
3. \(1.2~\text{cm}\)
4. \(0.12~\text{cm}\)
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