Question

Obtain the expression for shift in fringes when a thin transparent sheet is introduced in the path of one of the waves in a double slit interference experiment.

28 Jan 2026
Answer :
Word Count : 474
In a double-slit interference experiment, interference fringes are formed on a screen due to the superposition of light waves coming from two slits. The position of these fringes depends on the path difference between the two waves reaching a point on the screen. When a thin transparent sheet of thickness (t) and refractive index (n) is introduced in the path of one of the waves, it changes the optical path length of that wave, resulting in a shift in the interference fringes. Let the wavelength of light in air be (\lambda). If the transparent sheet
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