Ch 27, problem 9Light of wavelength 580 nm (in vacuum) is incident perpendicularly on a soap film (n = 1.35) suspended in air. What are the two smallest nonzero film thicknesses (in nm) for which reflected light undergoes constructive interference? Let (a) be the smaller of the two values. Let (b) be the larger of the two values.

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Asked Nov 16, 2019
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Ch 27, problem 9

Light of wavelength 580 nm (in vacuum) is incident perpendicularly on a soap film (n = 1.35) suspended in air. What are the two smallest nonzero film thicknesses (in nm) for which reflected light undergoes constructive interference? Let (a) be the smaller of the two values. Let (b) be the larger of the two values. 

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Expert Answer

Step 1

The condition for the constructive interference is

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2nt (m1/2)2

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Step 2

(a) The smallest non-zero film thickness...

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(m+1/2)2 2n 10 m (1/2) 580nm nm 2(1.35) 1.074x10-7m

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