$($a$)$ Would the pattern change if you were to use a shorter wavelength of light? Clearly state what change$($s$)$ would occur $($if any$)$ and briefly explain why.

$($b$)$ The apparatus is surrounded by air. Would the pattern change if it were immersed in water instead? Clearly state what change$($s$)$ would occur $($if any$),$ and briefly explain why.$$