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JEE Main202623 January 2026Morning ShiftPhysicsWave OpticsActual

In two separate Young's double-slit experimental set-ups and two monochromatic light sources of different wavelengths are used to get fringes of equal width. The ratios of the slits separations and that of the wavelengths of light used are 2: 1 and 1: 2 respectively. The corresponding ratio of the distances between the slits and the respective screens ( D₁ / D₂ ) is _ _ _ _ .

Correct answer

4

Step-by-step solution

Fringe width in double slit: = D d Given: d₁ d₂ = 2:1 and ₁ ₂ = 1:2 , with equal fringe widths For equal fringe widths: ₁ D₁ d₁ = ₂ D₂ d₂ ₁ ₂ D₁ D₂ = d₁ d₂ 1 2 D₁ D₂ = 2 D₁ D₂ = 4

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