William I. answered 04/18/22
Experienced Physics and Math Skills Tutor...patient and expressive.
I will add to the answer on my video. The problem is the same. EXCEPT the"With air on both sides" , the equation m*Lambda)= 2*n*d*cos(Theta) is constructive instead of destructive interference. The phase flipped twice. This time they told you to use the normal so cosine=1. but m can be more harmonics than just m=1.
m*Lambda= 2* n* d where d is the thoickness of the soap bubble. We don't need to know d
Lambda = 765 nm, 765nm /2, 765nm/3....= 765 nm, 382.5 nm, 255 nm etc which is twoward the UV spectral region