Double Slit Experiment with a Medium in front of the slits

[sqljunkey]

Hi,

I was wondering what would happen with the interference pattern if I had a medium with higher refractive index than air in front of the slits. Would the interference fringes become narrower?

 

[kuruman]

You can probably answer that question yourself. How does the separation between fringes depend on the wavelength? What happens to the wavelength when the light goes through a medium?

 

[sqljunkey]

I know that the wavelength becomes shorter while going through the medium and and the interference fringes of the slits are narrower for shorter wave lengths, so narrower in the end?