A parallel beam of light of wavelength λ is incident on a plane mirror at an angle θ as shown in the figure. With maximum intensity at point P, which of the following relation is correct.
Text Solution
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PR = d
PO = d sec θ
and CO = PO cos 2 θ = d sec θ cos 2 θ
path difference between the two rays is,
Δ p = CO + OP + λ /2
= d sec θ cos2 θ + dsec θ + λ /2 (one is reflected, while another is direct)
Therefore condition for constructive interference path difference should be
Δ p = λ , 2 λ , 3 λ ....
or d sec θ (1 + cos 2 θ ) + 
= λ
or 
(2 cos 2 θ ) = 
or cos θ =
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