Who was the first to propose the concept of secondary wavelets to describe the propagation of waves?
| 1. | Maxwell | 2. | Newton |
| 3. | Huygens | 4. | Fresnel |
| Assertion (A): | If two identical (monochromatic) sodium vapour lamps \(S_1,S_2\) are switched on, and the light from these sources are allowed to fall on a screen – no fringes will be visible. |
| Reason (R): | Light from two independent sodium vapour lamps are incoherent and therefore will not have a constant phase difference between them. |
| 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. |

| Column-I | Column-II | ||
| \(\mathrm{(A)}\) | Position of \(2^{\text{nd}}\) minimum from central fringe \(\bigg(\)in units of \(\dfrac{\lambda D}{d}\bigg)\) for interference setup | \(\mathrm{(I)}\) | \(\dfrac12\) |
| \(\mathrm{(B)}\) | Width of central maximum of the interference setup \(\bigg(\)in units of \(\dfrac{\lambda D}{d}\bigg)\) | \(\mathrm{(II)}\) | \(1\) |
| \(\mathrm{(C)}\) | Position of \(2^{\text{nd}}\) minimum from central fringe \(\bigg(\)in units of \(\dfrac{\lambda D}{d}\bigg)\) for the diffraction setup (slit width \(=d\)) | \(\mathrm{(III)}\) | \(\dfrac32\) |
| \(\mathrm{(D)}\) | Width of central maximum for the diffraction setup \(\bigg(\)in units of \(\dfrac{\lambda D}{d}\bigg)\) where slit width \(=d\) | \(\mathrm{(IV)}\) | \(2\) |
| 1. | \(\mathrm{A\text- I,B\text- II,C\text- IV,D\text- III}\) |
| 2. | \(\mathrm{A\text- III,B\text- II,C\text- IV,D\text- IV}\) |
| 3. | \(\mathrm{A\text-III,B\text- I,C\text- III,D\text- II}\) |
| 4. | \(\mathrm{A\text-I ,B\text- III,C\text- II,D\text- IV}\) |
| 1. | \(\dfrac{{I}_0}{16}\) | 2. | \(\dfrac{{I}_0}4\) |
| 3. | \(\dfrac{{I}_0}2\) | 4. | \(\dfrac{{I}_0}{32}\) |
| 1. | (B) and (C) only | 2. | (B) and (D) only |
| 3. | (A) and (C) only | 4. | (A) and (B) only |
| 1. | (A), (B) and (C) only |
| 2. | (A) and (C) only |
| 3. | (B) and (D) only |
| 4. | (B), (C) and (D) only |
| 1. | fringe width decreases. |
| 2. | fringe width increases. |
| 3. | central bright fringe becomes dark. |
| 4. | fringe width remains unaltered. |