A Young's double-slit experiment is performed using monochromatic light of wavelength λ. The intensity of light at a point on the screen, where the path difference is λ, is K units. The intensity of light at a point where the path difference is (λ)/(6) is given by nK/12, where n is an integer. The value of n is __________. Numerical answer type. Work it out, then open the answer.

Answer: 9. Path difference λ gives a maximum: K = 4I₀. Path difference (λ)/(6): φ = π/3, I = Kcos ²π/6 = 3K/4 = 9K/12 So n = 9.

A Young's double-slit experiment is performed using monochromatic… | JEE Main 2020 (6 Sep, Shift 2)

Q86JEE Main 2020 · 6 SEP · SHIFT 2Medium

Superposition, Coherence & Intensity

A Young's double-slit experiment is performed using monochromatic light of wavelength $\lambda$ . The intensity of light at a point on the screen, where the path difference is $\lambda$ , is K units. The intensity of light at a point where the path difference is $\frac{\lambda}{6}$ is given by $\frac{nK}{12}$ , where n is an integer. The value of n is __________.

Numerical answer type. Work it out, then open the answer.

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Answer: 9

Path difference $\lambda$ gives a maximum: $K = 4I_0$ .
Path difference $\frac{\lambda}{6}$ : $\phi = \frac{\pi}{3}$ , $I = K\cos^2\frac{\pi}{6} = \frac{3K}{4} = \frac{9K}{12}$
So $n = 9$ .

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