In Fig. shown, a screen is placed normal to the line joining the two point coherent sources S 1 and S 2 . The interference pattern consists of concentric circles.
Text Solution
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Sol. The optical path difference at P is
Δ x = S 1 P – S 2 P = d cos θ
Since cos θ 
1 – 
for small θ ,
Therefore, Δ x = d 
= d 
where D + d 
D
For nth maxima, Δ x = n λ
or d 
= n λ
y = radius of the nth bright ring = D 
At the central maxima, θ = 0.
Δ x = d = n λ
or n = 
= 
= 1000
∴ for the closest second bright ring, n = 998.
Putting values, r = 6.32 cm.
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