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Questions  

Two plane mirrors, a source S of light, emitting monochromatic rays of wavelength λ and a screen are arranged as shown in figure. If angle  θ is very small, the fringe width of interference pattern formed on screen by reflected rays is:

a
a+bλ4aθ
b
2a+bλaθ
c
2a+bλ4aθ
d
a+bλaθ

detailed solution

Correct option is C

β=λDd=λ2acos2θ+b4acosθsinθ for small values of θ,  sinθ≈0 cosθ≈1 ⇒β=λ2a+b4aθ

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In an interference arrangement, similar to Young’s double slit experiment, the slits S1 and S2 are illuminated with coherent microwave sources, each of frequency 106 Hz. The sources are synchronized to have zero phase difference. The slits are separated by distance d = 150.0 m. The intensityI(θ) is measured as a function of θ, where θ is defined as shown in the figure. If I0 is maximum intensity, then I(θ) for
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