Figure shows a narrow slit S illuminated b a monochromatic light of wavelength `
Channel: Doubtnut
Date: 26/07/2020

Figure shows a narrow slit S illuminated b a monochromatic light of wavelength `lambda` in a double-slit experiment. In the path of the rays reaching the upper slit `S_(1)`, a tube to length L is interposed in which the index of reflection of the medium varies linearly as shown in figure . The position of the central maximum in the interference pattern on the screen was displaceed by N fringes. Find the value of N in terms of `mu_(0)`, L and `lambda`.  img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/BMS_V04_C02_E01_039_Q01.png" width="80%"img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/BMS_V04_C02_E01_039_Q02.png" width="80%"