Q. No.A light beam traveling along the \(x\text-\)axis with a planar wavefront is incident on a medium of thickness \(t\). In the region, where light is falling, the refractive index can be taken to be varying such that \(\dfrac{dn}{dy}>0.\) The light beam on the other side of the medium will emerge:
1. parallel to the \(x\text-\)axis
2. bending downward
3. bending upward
4. split into two or more beams.
1. \(0\)
2. \(\dfrac{I_{0}}{2}\)
3. \(I_{0}\)
4. \(\dfrac{I_{0}}{N}\)
In the given figure \(S_1\) and \(S_2\) are two coherent sources oscillating in phase. The total number of bright fringes and their shape as seen on the large screen will be:
| 1. | \(3\), rectangular strips |
| 2. | \(3\), circular |
| 3. | \(4\), rectangular strips |
| 4. | \(4\), circular |
| 1. | be a fine sharp slit white in colour at the centre |
| 2. | a bright slit white at the centre diffusing to zero intensities at the edges |
| 3. | a bright slit white at the centre diffusing to regions of different colours |
| 4. | only be a diffused slit white in colour |
In Young's double-slit experiment, the source is white light. One of the holes is covered by a red filter and another by a blue filter. In this case:
| 1. | there shall be alternate interference patterns of red and blue. |
| 2. | there shall be an interference pattern for red distinct from that for blue. |
| 3. | there shall be no interference fringes. |
| 4. | there shall be an interference pattern for red mixing with one for blue. |
Two Sources \(S_1\) and \(S_2 \) of intensity \(I_1\) and \(I_2\) are in front of a screen [Fig.(a)]. The pattern of intensity distribution seen in the central portion is given by Fig.(b).
In this case, which of the following statements are true?
| (a) | \(S_1\) and \(S_2\) have the same intensities. |
| (b) | \(S_1\) and \(S_2\) have a constant phase difference. |
| (c) | \(S_1\) and \(S_2\) have the same phase. |
| (d) | \(S_1\) and \(S_2\) have the same wavelength. |
Choose the correct option:
| 1. | (a), (b), (c) | 2. | (a), (b), (d) |
| 3. | (b), (c), (d) | 4. | (c), (d) |
Consider sunlight incident on a pinhole of width \(10^{3}~\mathring{{A}}\). The image of the pinhole seen on a screen shall be:
| (a) | a sharp white ring |
| (b) | different from a geometrical image |
| (c) | a diffused central spot, white in colour |
| (d) | diffused coloured region around a sharp central white spot |
Choose the correct option from the given ones:
| 1. | (a) and (c) only |
| 2. | (a) and (d) only |
| 3. | (b) and (d) only |
| 4. | (b) and (c) only |
Consider the diffraction pattern for a small pinhole. As the size of the hole is increased:
| (a) | the size decreases |
| (b) | the intensity increases |
| (c) | the size increases |
| (d) | the intensity decreases |
Choose the correct option from the given ones:
| 1. | (a) and (b) only | 2. | (a) and (c) only |
| 3. | (b) and (d) only | 4. | (c) and (d) only |
| I. | The central fringe will be white. |
| II. | Closest bright fringe to the central fringe will be a violet fringe. |
| III. | There will not be any dark fringe. |
2. I, II
3. I, III
4. I, II, III
1. \(4\)
2. \(2\)
3. \(5\)
4. \(2.5\)
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