In a Young’s double slit experiment, slits are separated by \(0.5~\text{mm}\), and the screen is placed \(150~\text{cm}\) away. A beam of light consisting of two wavelengths, \(650~\text{nm}\) and \(520~\text{nm}\), is used to obtain interference fringes on the screen. The least distance from the common central maximum to the point where the bright fringes due to both the wavelengths coincide is:
1. \(1.56~\text{mm}\)
2. \(7.8~\text{mm}\)
3. \(9.75~\text{mm}\)
4. \(15.6~\text{mm}\)

The figure shows a Young’s double slit experimental setup. It is observed that when a thin transparent sheet of thickness \(t\) and refractive index \(\mu\) is put in front of one of the slits, the central maximum gets shifted by a distance equal to \(n\) fringe widths. If the wavelength of light used is \(\lambda, t\) will be:
               
1. \( \frac{2 n \lambda}{(\mu-1)} \)
2. \(\frac{n \lambda}{(\mu-1)} \)
3. \(\frac{ \lambda}{(\mu-1)} \)
4. \( \frac{2 \lambda}{(\mu-1)} \)

In Young's double slit experiment, the ratio of the slit's width is \(4:1\). The ratio of the intensity of maxima to minima, close to the central fringe on the screen, will be:
1. \( 25: 9 \)
2. \( 4: 1 \)
3. \( (\sqrt{3}+1)^4: 16 \)
4. \( 9: 1\)

In Young's double-slit experiment, \(16\) fringes are observed in a certain segment of the screen when light of wavelength \(700~\text{nm}\) is used. If the wavelength of the light is changed to \(400~\text{nm}\), the number of fringes observed in the same segment of the screen would be:

In Young's double-slit experiment, the light of \(500~\text{nm}\) is used to produce, an interference pattern. When the distance between the slits is \(0.05~\text{mm}\), the angular width (in degree) of the fringes formed on the screen is close to:

A Young's double-slit experiment is performed using monochromatic light of wavelength \(\lambda\). The intensity of light at a point on the screen, where the path difference is \(\lambda\), is \(K\) units. The intensity of light at a point where the path difference is \(\frac{\lambda}{6}\) is given by \(\frac{nK}{12}\), where \(n\) is an integer. The value of \(n\) is:
1. \(3\)
2. \(6\)
3. \(9\)
4. \(13\)

In Young's double slit experiment, the width of one of the slit is three times the other slit. The amplitude of the light coming from a slit is proportional to the slit width. The ratio of the maximum to the minimum intensity in the interference pattern is:
1. \(1:4\)
2. \(3:1\)
3. \(4:1\)
4. \(2:1\)

If the source of light used in Young's double slit experiment is changed from red to violet:

In Young's double-slit experiment two slits are separated by \(2~\text{mm}\) and the screen is placed one meter away. When light of wavelength \(500~\text{nm}\) is used, the fringe separation will be: