a) What is in nm the smallest thicknesses of a soap bubble that produce construc
ID: 1386492 • Letter: A
Question
a) What is in nm the smallest thicknesses of a soap bubble that produce constructive interference upon reflection for light with a wavelength of 373 nm? Use 1.333 for the index of refraction of soap.
b) What is in nm the second smallest thicknesses of a soap bubble that produce constructive interference upon reflection?
c) What is in nm the smallest thicknesses of a soap bubble that produce destructive interference upon reflection for the same light?
d) What is in nm the second smallest thicknesses of a soap bubble that produce destructive interference upon reflection for the same light?
Explanation / Answer
The condition for consrutive interference is
t = L/ 4n = 373 nm/ 4 ( 1.333) = 69.95 nm
the second smallest thicknesses of a soap bubble that produce constructive interference upon reflection is
t = 3L/ 4n = 3 (69.95 nm) = 209.86 nm
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The condition for distructive interference is
t = L/ 2n = 373 nm/ 2 ( 1.333) = 139.9nm
the second smallest thicknesses of a soap bubble that produce destructive interference upon reflection for the same light
t = 2L/ 2n = (373 nm/1.333 = 279.81nm
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