Optics Question 850

Question: In the ideal double-slit experiment, when a glass- plate (refractive index 1.5) of thickness t is introduced in the path of one of the interfering beams $ (wave-lenght\lambda ) $ , the intensity at the position where the central maximum occurred previously remains unchanged. The minimum thickness of the glass-plate is

Options:

A) $ 2\lambda $

B) $ 2\lambda /3 $

C) $ \lambda /3 $

D) $ \lambda $

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Path difference $ =(\mu -1)t=n\lambda $ ; For minimum t, n=1;

$ \therefore t=2\lambda $



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