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JEE Main 2026 · 5 Apr · Shift 2, Physics question 42

The maximum intensity in a Young's double slit experiment is IoI_o. Distance between the slits (dd) is 5λ5\lambda, where λ\lambda is the wavelength of light used. The intensity of the fringe, exactly opposite to one of the slits on the screen, placed at D=10dD=10d is ________.

Choose one option
Answer and worked solution

Official answer: B

Path difference at y=d2y=\tfrac d2:
ydD=d22D=d20=λ4,\frac{yd}D=\frac{d^2}{2D}=\frac d{20}=\frac\lambda4,
which is a phase difference of π2\tfrac\pi2.

Intensity. I=Iocos⁡2π4=Io2I=I_o\cos^2\tfrac\pi4=\tfrac{I_o}2.

(B)