The double slit interference experiment shows a fringe pattern when light passes through two slits, creating alternating dark and light bands on a screen. Immersing the apparatus in water alters the fringe pattern due to the change in the speed of light in water compared to air. The key formula for fringe separation involves the wavelength of light, which decreases in water, affecting the spacing of the fringes. Participants suggest posting initial thoughts for better assistance and recommend resources like HyperPhysics for further information. Understanding the impact of the medium on wave behavior is crucial for solving this problem.