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1. In Young's experiment, a pair of slits separated by a distance of 0.9 mm is placed at a distance of 1.0 m from the screen. The tenth bright fringe is at a distance of 6.0 mm from the centre of the fringe pattern. What is the wavelength of light used? If the entire experimental set up is immersed in a medium of refractive index µ, the tenth bright fringe is found to be at a distance of 4.5 mm from the centre of the fringe pattern. Find µ.
2. In a double slit experiment, interference fringes of width w are obtained with blue light of wavelength 4861Ao. Find the fringe width when the blue light is replaced with red light of wavelength 6563Ao and the entire experimental set up is simultaneously immersed in a liquid of refractive index 1.35.
3. Two whistles situated 1 m apart and having the same frequency are sounded simultaneously. An observer moving along a line parallel to the line joining the whistles and at a distance of 10 m from it, finds a series of places of maximum sound intensity at 2.2 m apart. If the speed of sound in air is 330 ms-1, find the frequency of the whistles. If the sources of sound are replaced by two light sources and the distances suitably adjusted, will the optical interference pattern be observed? Explain your answer.
4. A laser beam of wavelength 6300 Ao is incident on a pair of slits and produces an interference pattern in which the bright fringes are separated by 8.3 mm. A second light produces an interference pattern of fringe separation 7.6 mm. Find the wavelength of the second light.
5. Consider interference between two sources of intensities I and 4I Obtain intensities at points where the phase difference is
i. /2
ii.
6. Two slits in Young's experiment have widths in the ratio 1:36. Deduce the ratio of intensities at the maxima and minima in the pattern.
7. Interference fringes were produced by Young's double slit method using light of wavelength 6 x 10-7 m. When a film of material 3.6 x 10-3 cm thick was placed over one of the slits the fringe pattern was displaced by a distance equal to thirty times that between two adjacent fringes. Calculate the refractive index of the material.
8. The inclined faces of a glass biprism ( =1.5) make an angle of 1o. the source emitting light of wavelength 5896Ao is placed at a distance of 50 cm from the biprism. Find the distance between two consecutive bright fringes formed on a screen at a distance of 100cm from the biprism.
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