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JEE Main 20249 AprilEvening Shift

Exam: JEE Main
Year: 2024
Date: 9 April
Shift: Evening Shift
Subject: Physics
Chapter: Wave Optics

JEE Main 2024 · 9 April · Evening Shift · Physics · Wave Optics

Monochromatic light of wavelength 500 ~nm is used in Young's double...

Monochromatic light of wavelength

500

\mathrm{~nm}

is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of the slits is covered with a very thin glass plate (refractive index

=1.5

), the central maximum is shifted to a position previously occupied by the

4^{

\text{th }

}

bright fringe. The thickness of the glass-plate is ______

\mu

\mathrm{m}

.

Correct answer

0

Step-by-step solution

\begin{aligned} & (\mu-1) \mathrm{t}=\mathrm{n} \lambda \\ & (1.5-1) \mathrm{t}=4 \times 500 \times 10^{-9} \mathrm{~m} \\ & \mathrm{t}=4000 \times 10^{-9} \mathrm{~m} \\ & \mathrm{t}=4 \mu \mathrm{m}\end{aligned}

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