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Question

Physics Question on Youngs double slit experiment

S1S_1 and S2S_2 are the two coherent point sources of light located in the xyplanexy-plane at points (0,0)(0,0) and (0,3?)(0,3?) respectively. Here λ\lambda is the wavelength of light. At which one of the following points (given as coordinates), the intensity of interference will be maximum?

A

(3λ,0)(3\lambda, 0)

B

(4λ,0)(4\lambda, 0)

C

(5λ/4,0)(5\lambda/4, 0)

D

(2λ/3,0)(2\lambda/3, 0)

Answer

(4λ,0)(4\lambda, 0)

Explanation

Solution

The given situation can be show as The intensity will be maximum at those given points where the path difference between the two interfering waves is an integral multiple of wavelength i.e., Δx=nλ\Delta x=n \lambda For the the given points, the intensity will be maximum for (4λ,0)(4 \lambda, 0).