JEE Advanced 2024 Paper 2

Paragraph for next 2 Questions In a Young's double slit experiment, each of the two slits$A$and$B$, as shown in the figure, are oscillating about their fixed center and with a mean separation of 0.8 mm . The distancebetween the slits at time$t$is given by$d=(0.8+0.04\sin\omega t)\,\text{mm}$, where$\omega=0.08\,\text{rad}\,\text{s}^{-1}$. The distance of the screen from the slits is 1 m and the wavelength of the light used to illuminate the slits is$6000\,\text{Å}$. The interference patternon the screen changes with time, while the centralbright fringe (zeroth fringe) remains fixed at point$O$.