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Q.

Interference pattern is formed on a screen by Young’s double slits S1 and S2 which are identical and illuminated by monochromatic light of wavelength  λ . Points P and P´ are on the screen closest to and on either side of central maxima, where intensity is one fourth of  that at the central maxima. If PP'=2Dλdx.  Find x.(assume d>>λ&D>>d )

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answer is 3.

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Detailed Solution

IP=4I04=I0 ⇒I0=I0+I0+2I0⋅cosϕ⇒cosϕ=−12⇒ϕ=2π3=2πλ.ydD⇒2y=2λD3d∴x=3
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