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. |
1. | \(\dfrac{5\lambda D}{d}\) | 2. | \(\dfrac{5\lambda L}{d}\) |
3. | \(\dfrac{5\lambda (L+D)}{d}\) | 4. | \(\dfrac{5\lambda (L-D)}{d}\) |
1. | \(\dfrac{2d^2}{D}\) | 2. | \(\dfrac{2d^2}{3D}\) |
3. | \(\dfrac{d^2}{2D}\) | 4. | \(\dfrac{d^2}{6D}\) |
1. | \(\dfrac{2d^2}{D}\) | 2. | \(\dfrac{d^2}{2D}\) |
3. | \(\dfrac{d^2}{D}\) | 4. | \(\dfrac{D^2}{d}\) |
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) |
1. | \(\dfrac{\lambda f}{d}\) | 2. | \(\dfrac{2\lambda f}{d}\) |
3. | \(\dfrac{\lambda f}{2d}\) | 4. | \(\dfrac{\lambda f}{d\sqrt2}\) |
A monochromatic light of frequency \(500~\text{THz}\) is incident on the slits of Young's double slit experiment. If the distance between the slits is \(0.2~\text{mm}\) and the screen is placed at a distance \(1~\text{m}\) from the slits, the width of \(10\) fringes will be:
1. | \(1.5~\text{mm}\) | 2. | \(15~\text{mm}\) |
3. | \(30~\text{mm}\) | 4. | \(3~\text{mm}\) |
1. | \(\dfrac{5}{3}\) | 2. | \(\dfrac{3}{1}\) |
3. | \(\dfrac{25}{9}\) | 4. | \(\dfrac{9}{1}\) |