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Two coherent monochromatic point sources \( S_{1} \) and \( S_{2} \) of wavelength \( \lambda=600 \mathrm{~nm} \) are placed symmetrically on either side of the center of the circle as shown. The sources are separated by a distance \( \mathrm{d}=1.8 \mathrm{~mm} \). 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 \( \Delta \theta \). Which of the following options is/are correct?
\( \mathrm{P} \)
W
(A) The total number of fringes produced between \( \mathrm{P}_{1} \) and \( \mathrm{P}_{2} \) in first quadrant is close to 3000
- (B) A dark spot will be formed at the point \( \mathrm{P}_{2} \)
(C) At \( \mathrm{P}_{2} \) the order of the fringe will be maximum
(D) The angular separation between two consecutive bright spots decreases as we move from \( \mathrm{P}_{1} \) to \( \mathrm{P}_{2} \) - along the first quadrant
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