In the diagram, the intensity of waves arriving at D from two coherent sources s 1 and s 2 is I 0 . The wavelength of the wave is λ = 4 m . Resultant intensity at D will be

Question

In the diagram, the intensity of waves arriving at D from two coherent sources s 1 and s 2 is I 0 . The wavelength of the wave is λ = 4 m . Resultant intensity at D will be, 4 I 0, I 0, 2 I 0, Zero

MARKS App · Accepted Answer

Path difference Δ x = s 2 D - s 1 D = 5 - 4 = 1 m ∴ The corresponding phase difference will be ϕ = 2 π λ · Δ x = 2 π 4 1 = π 2 Using I = I 1 + I 2 + 2 I 1 I 2 cos ϕ I = I 0 + I 0 + 2 I 0 I 0 cos π 2 = 2 I 0

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