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?
Select ALL correct options:
A
The angular separation between two consecutive bright spots decreases as we move from $P_1$ to $P_2$ along the first quadrant
B
At $P_2$ the order of the fringe will be maximum
C
A dark spot will be formed at the point $P_2$.
D
The total number of fringes produced between $P_1$ and $P_2$ in the first quadrant is close to 3000 .
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