Q.

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:

Moderate

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By Expert Faculty of Sri Chaitanya

a

a+bλ4aθ

b

2a+bλaθ

c

2a+bλ4aθ

d

a+bλaθ

answer is 3.

(Detailed Solution Below)

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Detailed Solution

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