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← JEE Advanced 2013 · Paper 1
PhysicsSingle correct+2Question 3 of 60

JEE Advanced 2013 · Paper 1, Physics question 3

In the Young's double slit experiment using a monochromatic light of wavelength λ\lambda, the path difference (in terms of an integer nn) corresponding to any point having half the peak intensity is

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Answer and worked solution

Official answer: B

Intensity. I=Imax⁡cos⁡2ϕ2=Imax⁡2I=I_{\max}\cos^2\frac\phi2=\frac{I_{\max}}2 gives ϕ=(2n+1)π2\phi=(2n+1)\frac\pi2.

Path difference. Δ=λ2πϕ=(2n+1)λ4\Delta=\frac\lambda{2\pi}\phi=(2n+1)\frac\lambda4.

(B)