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Question: Answered & Verified by Expert
In Young's double slit experiment, the fringe width is found to be $0.4 \mathrm{~mm}$. If the whole apparatus is immersed in a liquid of refractive index $\frac{4}{3}$ without changing geometrical arrangement, the new fringe width will be
PhysicsWave OpticsCOMEDKCOMEDK 2022
Options:
  • A 0.45 mm
  • B 0.4 mm
  • C 0.53 mm
  • D 0.30 mm
Solution:
2682 Upvotes Verified Answer
The correct answer is: 0.30 mm
If fringe widths of air and water are $\beta_{\text {air }}$ and $\beta_{\text {water }}$ respectively, then fringe width, $\beta_{\text {water }}=\frac{\beta_{\text {air }}}{\mu}$
Given, $\mu=\frac{4}{3}, \beta_{\text {air }}=0.4$
Hence, $\beta_{\text {water }}=\frac{0.4}{4 / 3}=0.3 \mathrm{~mm}$

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