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Q. No.
1. \(|{p}_{y}|{d > h}\)
2. \(|{p}_{y}|{d \gg h}\)
3. \(|{p}_{y}|{d < h}\)
4. \(|{p}_{y}|{d \simeq h}\)
(i.e. distance between the first minimum on either side of the central maximum)
1. \(4.5~\text{cm}\)
2. \(6.0~\text{cm}\)
3. \(3.0~\text{cm}\)
4. \(1.5~\text{cm}\)
1. \(3~\text{mm}\)
2. \(1.5~\text{mm}\)
3. \(9~\text{mm}\)
4. \(4.5~\text{mm}\)
The angular width of the central maximum in a single slit diffraction pattern is \(60^\circ\). The width of the slit is \(1~\mu\text{m}\). The slit is illuminated by monochromatic plane waves. If another slit of same width is made near it, Young's fringes can be observed on a screen placed at a distance \(50~\text{cm}\) from the slits. If the observed fringe width is \(1~\text{cm}\), what is the slit separation distance? (i.e. distance between the centers of each slit.)
1. \(25~\mu\text{m}\)
2. \(50~\mu\text{m}\)
3. \(75~\mu\text{m}\)
4. \(100~\mu\text{m}\)
1. \(\dfrac{\pi}{4}\)
2. \(\dfrac{\pi}{8}\)
3. \(\dfrac{\pi}{12}\)
4. \(\dfrac{\pi}{6}\)
In a double-slit experiment, when a thin film of thickness \(t\) having a refractive index \(\mu\). is introduced in front of one of the slits, the maximum at the centre of the fringe pattern shifts by one fringe width. The value of \(t\) is:
(\(\lambda\) is the wavelength of the light used):
1. \(\frac{\lambda}{2(\mu-1)}\)
2. \(\frac{\lambda}{(2\mu-1)}\)
3. \(\frac{2\lambda}{(\mu-1)}\)
4. \(\frac{\lambda}{(\mu-1)}\)
Orange light of wavelength \(6000 \times 10^{-10} ~\text{m}\) illuminates a single slit of width \(0.6 \times 10^{-4} ~\text{m}\). The maximum possible number of diffraction minima produced on both sides of the central maximum is:
1. \(200\)
2. \(198\)
3. \(400\)
4. \(126\)
Sunlight passes through a pinhole of diameter \(0.1 ~\mu\text{m},\) producing a diffraction pattern on a screen. If the diameter of the pinhole is increased slightly, how will the diffraction pattern change?
| 1. | The pattern size decreases, and the intensity decreases. |
| 2. | The pattern size increases, and the intensity increases. |
| 3. | The pattern size increases, but the intensity decreases. |
| 4. | The pattern size decreases, but intensity increases. |
1. \(1.2\) \(\mu \text{m}\)
2. \(1.5\) \(\mu \text{m}\)
3. \(1.0\) \(\mu \text{m}\)
4. \(1.8\) \(\mu \text{m}\)
1. \({\lambda\over a}\)
2. \({2\lambda\over a}\)
3. \({3\lambda\over 2a}\)
4. \({3\lambda\over a}\)
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