Wave OpticsHard
Question
In an interference arrangement similar to Young’s double - slit experiment, the slits S1 and S2 are illuminated with coherent microwave source, each of frequency 106 Hz. The source are synchronized to have zero phase difference. The slits are separated by a distance d = 150.0m The intensity I(θ) is measured as a function of θ, where θ is defined as shown, If I0 is the maximum intensity, then I(θ) for 0 ≤ θ ≤ 90o is given by :
Options
A.I(θ) = I0 / 2 for θ = 30o
B.I(θ) = I0 / 4 for θ = 90o
C.I(θ) = I0 for θ = 0o
D. I(θ) is constant for all values of θ
Solution
The intensity of light is (θ) = I0 cos2
Where δ =
(ᐃx) = 
(d sin θ)
(i) For θ = 30o
λ =
= 300 m and d = 150 m
δ =
(150) 
∴ 
∴I(θ) = I0 cos2
(ii) For θ = 90o
δ =
(150) (1) = π ⇒ 
and I(θ)
(iii) For θ = 0o : δ = 0 ⇒
= 0 ∴I(θ) = I0
Where δ =
(ᐃx) = (d sin θ)(i) For θ = 30o
λ =
= 300 m and d = 150 mδ =
(150) ∴ ∴I(θ) = I0 cos2
(ii) For θ = 90o
δ =
(150) (1) = π ⇒ and I(θ)(iii) For θ = 0o : δ = 0 ⇒
= 0 ∴I(θ) = I0Create a free account to view solution
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