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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| 1. | the intensities of individual sources are \(5\) and \(4\) units respectively. |
| 2. | the intensities of individual sources are \(4\) and \(1\) unit respectively. |
| 3. | the ratio of their amplitudes is \(3\). |
| 4. | the ratio of their amplitudes is \(6\). |
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1. \(3~\text{mm}\)
2. \(9~\text{mm}\)
3. \(4.5~\text{mm}\)
4. \(1.5~\text{mm}\)
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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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Two polaroids are kept crossed to each other. Now one of them is rotated through an angle of \(45^{\circ}\)
1. \(15\%\)
2. \(25\%\)
3. \(50\%\)
4. \(60\%\)
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Light travels faster in the air than in glass. This is in accordance with:
| 1. | the wave theory of light. |
| 2. | the corpuscular theory of light. |
| 3. | neither \((1)\) nor \((2)\) |
| 4. | both \((1)\) and \((2)\) |
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The distance of the moon from the earth is . The eye is most sensitive to light of wavelength 5500 Å. The minimum separation between two points on the moon that can be resolved by a 500 cm telescope will be:
1. 51 m
2. 60 m
3. 70 m
4. All the above
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The ratio of resolving powers of an optical microscope for two wavelengths is:
1. 8:27
2. 9:4
3. 3:2
4. 16:81
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A beam of light \(AO\) is incident on a glass slab \((\mu= 1.54)\) in a direction as shown in the figure. The reflected ray \(OB\) is passed through a Nicol prism. On viewing through a Nicole prism, we find on rotating the prism that:
| 1. | the intensity is reduced down to zero and remains zero. |
| 2. | the intensity reduces down somewhat and rises again. |
| 3. | there is no change in intensity. |
| 4. | the intensity gradually reduces to zero and then again increases. |
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