Two coherent sources of light, each having an intensity I_0 , interfere to produce a fringe pattern on a screen. At a point on the screen where the path difference between the waves is (λ)/(6) (where λ is the wavelength

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Correct answer: C. 3I_0

The phase difference Δφ is related to the path difference Δ x by the formula: Δφ = (2π)/(λ) Δ x Given Δ x = (λ)/(6) , the phase difference is: Δφ = (2π)/(λ) × (λ)/(6) = (π)/(3) The resultant intensity I for two coherent sources of equal intensity I_0 is given by: I = 4I_0 ^2((Δφ)/(2)) Substituting Δφ = (π)/(3) : I = 4I_0 ^2((π)/(6)) Since ((π)/(6)) = 3 2 : I = 4I_0 ( 3 2 )^2 = 4I_0 × (3)/(4) = 3I_0 Answer: 3I_0

Two coherent sources of light, each having an intensity I_0 ,...

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