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Q. No.Two waves from coherent sources meet at a point in a phase difference of \(\phi\) and path difference \(\Delta x.\) Both waves have same intensities \(I_0.\) Based on this information, match Column-I and Column-II.
Column-I
Column-II
\(\mathrm{(a)}\)
If \({\Delta x}=\dfrac{\lambda}{3}\)
\(\mathrm{(p)}\)
resultant intensity will be \(3I_0\)
\(\mathrm{(b)}\)
If \(\phi = 60^{\circ}\)
\(\mathrm{(q)}\)
resultant intensity will be \(I_0\)
\(\mathrm{(c)}\)
If \({\Delta x}=\dfrac{\lambda}{4}\)
\(\mathrm{(r)}\)
resultant intensity will be zero
\(\mathrm{(d)}\)
If \(\phi = 90^{\circ}\)
\(\mathrm{(s)}\)
resultant intensity will be \(2I_0\)
1.
\(\mathrm{a(q), b(p), c(s), d(s)}\)
2.
\(\mathrm{a(s), b(p), c(s), d(q)}\)
3.
\(\mathrm{a(q), b(s), c(s), d(p)}\)
4.
\(\mathrm{a(s), b(r), c(q), d(r)}\)
Subtopic: Superposition Principle |
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Level 2: 60%+
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A parallel beam of light of wavelength \(\lambda\) is incident normally on a narrow slit. A diffraction pattern is formed on a screen placed perpendicular to the direction of the incident beam. At the second minimum of the diffraction pattern, the phase difference between the rays coming from the two edges of the slit is:
1. \(2 \pi\)
2. \(3 \pi\)
3. \(4 \pi\)
4. \( \pi \lambda\)
1. \(2 \pi\)
2. \(3 \pi\)
3. \(4 \pi\)
4. \( \pi \lambda\)
Subtopic: Diffraction |
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Level 3: 35%-60%
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Consider a parallel beam of monochromatic light of wavelength \(600~\text{nm}.\) It is allowed to pass through a slit of width \(0.15~\text{mm}.\) Assume that the angles involved are very small. The angular divergence in which most of the light gets diffracted will be:
1. \(4\times 10^{-3}~\text{rad}\)
2. \(2.0\times10^{-3}~\text{rad}\)
3. \(8.0\times10^{-3}~\text{rad}\)
4. \(90^\circ\)
1. \(4\times 10^{-3}~\text{rad}\)
2. \(2.0\times10^{-3}~\text{rad}\)
3. \(8.0\times10^{-3}~\text{rad}\)
4. \(90^\circ\)
Subtopic: Diffraction |
Level 3: 35%-60%
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Which one of the following statements is true for Young's double-slit experiment?
| 1. | Fringe width is proportional to wavelength \(\lambda.\) |
| 2. | Fringe width is proportional to slit width \(d.\) |
| 3. | Fringe width is inversely proportional to screen distance \(D.\) |
| 4. | Fringe width is proportional to the position of the fringe from the central maximum. |
Subtopic: Young's Double Slit Experiment |
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Level 1: 80%+
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Given below are two statements:
| Assertion (A): | Diffraction is common in sound but not common in light waves. |
| Reason (R): | The wavelength of light is more than the wavelength of sound. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Diffraction |
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Level 3: 35%-60%
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Given below are two statements:
| Assertion (A): | Corpuscular theory fails in explaining the velocities of light in air and water. |
| Reason (R): | According to corpuscular theory, light should travel faster in denser media than in rarer media. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Huygens' Principle |
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Level 2: 60%+
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Given below are two statements:
| Assertion (A): | Crystalline solids can cause \(X\)-rays to diffract. |
| Reason (R): | Interatomic distance in crystalline solids is of the order of \(0.1\) nm. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Diffraction |
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Given below are two statements:
| Assertion (A): | If a glass slab is placed in front of one of the slits, then fringe width will decrease |
| Reason (R): | Glass slab will produce an additional path difference |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | (A) is False but (R) is True. |
Subtopic: Young's Double Slit Experiment |
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Sound waves travel faster in water than in air. Imagine a plane sound wavefront incident at an angle \(\alpha\) at the air-water interface; the refracted wavefront making an angle \(\beta\) with the interface. Then,
| 1. | \(\alpha>\beta\) |
| 2. | \(\beta>\alpha\) |
| 3. | \(\alpha=\beta\) |
| 4. | the relation between \(\alpha~\&~\beta \) cannot be predicted. |
Subtopic: Huygens' Principle |
Level 3: 35%-60%
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Find the minimum order of a green fringe (\(\lambda = 500\) nm) which overlaps a dark fringe of violet (\(\lambda = 400\) nm) in a Young's double-slit experiment conducted with these two colours.
1. \(4\)
2. \(2\)
3. \(5\)
4. \(2.5\)
1. \(4\)
2. \(2\)
3. \(5\)
4. \(2.5\)
Subtopic: Young's Double Slit Experiment |
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Level 3: 35%-60%
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