Q 12-10-092JEE MainJEE Main 2023 (1 Feb, Shift 2)Medium
As shown in the figure, in Young's double slit experiment, a thin plate of thickness $t=10\ \mu$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 $\lambda=500$ nm. Due to the insertion of the plate, central maxima is shifted by a distance of $x\beta_0$, where $\beta_0$ is the fringe-width before the insertion of the plate. The value of $x$ is ______.
Numerical value type. Enter your answer.
Answer: 4
Shift $=\dfrac{(\mu-1)tD}{d}=\dfrac{(\mu-1)t}{\lambda}\beta_0=\dfrac{0.2\times10\times10^{-6}}{500\times10^{-9}}\beta_0=4\beta_0$.
Solution by Sreeraj P, M.Sc Physics