Physics

Problem

As shown in the figure, in Young's double slit experiment, a thin plate of thickness

t = 10 \mu\text{m}

and refractive index

\mu = 1.2

is inserted in front of slit

S_1

. The experiment is conducted in air (

\mu = 1

) and uses a monochromatic light of wavelength

\lambda = 500 \text{ nm}

. Due to the insertion of the plate, central maxima is shifted by a distance of

x\beta_0

\beta_0

is the fringe-width before the insertion of the plate. The value of the

x

is _____ . ![Diagram of Young's double slit experiment setup. A light source illuminates two slits, S1 and S2. A thin plate of thickness t and refractive index mu is inserted in front of slit S1. The screen P is placed on the right side.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/b67ee877b8814a60ba55f9eaf6a08b40/30a26f2d17ca95672702bf50fb4f0242_img.jpg)

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