Chapter 35, Problem 074 Two rectangular glass plates n = 1.60) are in contact al

Question

Chapter 35, Problem 074 Two rectangular glass plates n = 1.60) are in contact along one edge and are separated a ng the opposite edge the re below Light with a wavelength of 600 nmis incident perpendicularly onto the top plate. The air between the plates acts as a thin film. Nine dark fringes and eight bright fringes are observed from above the top plate. If the distance between the two plates along the separated edges is increased by 600 nm, how many dark fringes will there then be across the top plate? Incilent light Number Units exact number, no tolerance Show Work is REQUIRED for this question: Open Show Work

Explanation / Answer

We have

2t=m

where t is the thickness of the air film, m is the number of dark bands and is wavelength

solve for t

m/2=t
m=9,=600*10-9m

so t=

2.7*10-6m

Now, if the is increased by 600nm

=1200*10-9m

So,

m=2t/

m=2*2.7*10-6/1200*10-9

m=4.5 or 5 dark fringes  

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