Figure shows a Young's double slit experiment setup. The source S of wavelength 4000 $\text{Å}$ oscillates along y-axis according to the equation $\mathrm{y}=\sin \mathrm{\pi t}$, where y is in millimeters and t is in seconds. The distance between two slits S₁ and S₂ is 0.5 mm.

The position of the central maxima as a function of time is $8 \sin \mathrm{\pi t}$

The instant at which maximum intensity occurs at P for first time is $\frac{1}{\mathrm{\pi }} {\sin }^{-1} \left(\frac{54}{80}\right)$

The instant at which maximum intensity occurs at P for first time is $\frac{1}{\mathrm{\pi }} {\sin }^{-1} \left(\frac{27}{80}\right)$

The position of the central maxima as a function of time is $4 \sin \mathrm{\pi t}$