In young's double slit experiment performed using a monochromatic light of wavelength λ , when a glass plate μ = 1 . 5 of thickness x λ is introduced in the path of the one of the interfering bea

Question

In young's double slit experiment performed using a monochromatic light of wavelength λ , when a glass plate μ = 1 . 5 of thickness x λ is introduced in the path of the one of the interfering beams, the intensity at the position where the central maximum occurred previously remains unchanged. The value of x will be

TestHub · Accepted Answer

Since the intensity at the central maxima remains unchanged, the change in the path difference should be an integral multiple of the wavelength. Therefore,

$Δ x = (μ - 1) t = n λ$ $\Rightarrow (1.5 - 1) x λ = n λ$ $\Rightarrow x = \frac{n}{0.5} = 2 n$

For $n = 1$

$x = 2$

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