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In the Young's double slit experiment the intensity produced by each one of the individual slits is I₀. The distance between two slits is 2 mm. The distance of screen from slits is 10 m. The wavelength of light is 6000 Å. The intensity of light on the screen in front of one of the slits is ______.

Asked in JEE Main 24th Jan 2nd Shift 2026 · Intensity and coherent sources

Answer: (2) I₀

Step-by-step solution

Point in front of a slit: y = d/2 = 1 mm

Δ = (yd)/D = (10⁻³ × 2 × 10⁻³)/(10) = 2 × 10⁻⁷ m = 2000 Å = λ/3

φ = (2π)/3

I = 4I₀ cos²φ/2 = 4I₀ × 1/4 = I₀

Why the other options are wrong

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