Optics 6 Question 54
56. Angular width of central maximum in the Fraunhofer diffraction pattern of a slit is measured. The slit is illuminated by light of wavelength . When the slit is illuminated by light of another wavelength, the angular width decreases by . Calculate the wavelength of this light. The same decrease in the angular width of central maximum is obtained when the original apparatus is immersed in a liquid. Find refractive index of the liquid.
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Answer:
Correct Answer: 56.
Solution:
- (a) Given,
Let
First minima is obtained at
or
Angular width of first maxima
Angular width will decrease by
Therefore, new wavelength
(b) When the apparatus is immersed in a liquid of refractive index