In Young’s double-slit experiment, the slits are separated by \(0.28~\text{mm}\) and the screen is placed \(1.4 ~\text m\) away. The distance between the central bright fringe and the fourth bright fringe is measured to be \(1.2~\text{cm}.\) The wavelength of light used in the experiment is:
1. \(600~\text{nm}\)
2. \(500~\text{nm}\)
3. \(400~\text{nm}\)
4. \(200~\text{nm}\)
In Young’s double-slit experiment using monochromatic light of wavelength \(\lambda,\) the intensity of light at a point on the screen where path difference \(\lambda\) is \(K\) units. What is the intensity of the light at a point where path difference is \(\lambda/3\)?
1. \(\dfrac K3\)
2. \(\dfrac K4\)
3. \(\dfrac K2\)
4. \(K\)
In a double-slit experiment the angular width of a fringe is found to be \(0.2^\circ\) on a screen placed \(1 ~\text{m}\) away. The wavelength of light used is \(600 ~\text{nm}.\) What will be the angular width of the fringe if the entire experimental apparatus is immersed in water?
(Take the refractive index of water to be \(4/3\)).
1. \(0.33^\circ\)
2. \(0.20^\circ\)
3. \(0.15^\circ\)
4. \(0.10^\circ\)
What is the Brewster angle for air to glass transition? (Refractive index of glass = 1.5.)
1.
2.
3.
4.
What is the distance for which ray optics is a good approximation for an aperture of 4 mm and wavelength 400 nm?
1. 40 m
2. 30 m
3. 20 m
4. 50 m
When the light diverges from a point source, the shape of the wavefront is:
1. Parabolic
2. Plane
3. Spherical
4. Elliptical
When the light is coming from a distant star that is intercepted by the earth, the shape of the wavefront is:
1. | Spherical. | 2. | Plane. |
3. | Elliptical. | 4. | None of these. |
The refractive index of glass is \(1.5\). What is the speed of light in glass?
1. \(2 \times 10^{8}~\text{m/s}\)
2. \(3 \times 10^{8} ~\text{m/s}\)
3. \(1.5 \times 10^{8} ~\text{m/s}\)
4. \(2.2 \times 10^{8}~\text{m/s}\)
Which of the following is not true?
1. | The speed of light is dependent on the colour of the light. |
2. | The speed of violet light is less than the speed of the red light in glass. |
3. | The frequency of light never depends upon the property of the medium. |
4. | When the light diverges from a point source, the shape of the wavefront is plane. |
A beam of light consisting of two wavelengths \(650~\text{nm},\) and \(520~\text{nm},\) is used to obtain interference fringes in Young’s double-slit experiment. What is the distance of the third bright fringe on the screen from the central maximum for wavelength \(650~\text{nm}?\)
1. | \(1950\left(\dfrac{D}{d} \right)~\text{nm}\) | 2. | \(1700\left(\dfrac{D}{d} \right)~\text{nm}\) |
3. | \(1100\left(\dfrac{D}{d} \right)~\text{nm}\) | 4. | \(1861\left(\dfrac{D}{d} \right)~\text{nm}\) |