Two coherent monochromatic point sources S 1 and S 2 of wavelength λ = 600 nm are placed symmetrically on either side of the center of the circle as shown. The sources are separated by a distance d = 1.8 mm. This arrangement produces interference fringes visible as alternate bright and dark spots on the circumference of the circle. The angular separation between two consecutive bright spots is Δθ . Which of the following options is/are correct ? 
Text Solution
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(a,c)
Sol.
λ = 600 nm
at P 1 Δ x = 0
at P 2 Δ x = 1.8mm = n λ
No. maximum will be = n = 
= 
= 3000
at P 2 Δ x = 3000 λ
hence bright fringe will be formed.
at P 2 3000 th maxima is formed.
for 'D' option
Δ x = dsin θ
d Δ x = dcos θ .d θ
R λ = dcos θ .Rd θ
Rd θ = 
as we move from P 1 to P 2
θ cos θ ↓ Rd θ
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