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← JEE Main 2022 · 28 Jun · Shift 2
PhysicsSingle correct+4 / -1Question 46 of 90

JEE Main 2022 · 28 Jun · Shift 2, Physics question 46

In young's double slit experiment performed using a monochromatic light of wavelength λ\lambda, when a glass plate (μ=1.5\mu=1.5) of thickness xλx\lambda 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 xx will be :

Choose one option
Answer and worked solution

Official answer: B

Unchanged intensity needs the extra path to be a whole number of wavelengths: (μ−1)xλ=λ(\mu-1)x\lambda=\lambda, so x=2x=2 for the smallest plate.

(B)