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In interference experiment the path difference between two interfering waves at a point A on the screen is λ/3, where λ is the wavelength of these waves, and at another point B the path difference is λ/6. The ratio of intensities at points A and B is ______.

Asked in JEE Main 6th April 1st Shift 2026 · Intensity and coherent sources

Answer: (3) 1/3

Step-by-step solution

φ = (2π)/λΔ: φ_A = (2π)/3, φ_B = π/3

I ∝ cos²φ/2: I_A ∝ cos² 60° = 1/4, I_B ∝ cos² 30° = 3/4

(I_A)/(I_B) = 1/3

Why the other options are wrong

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