A soap bubble ( n = 1.34) having a wall thickness of 130 nm is floating in air.

Question

A soap bubble (n = 1.34) having a wall thickness of 130 nm is floating in air.

(a) What is the wavelength of the visible light that is most strongly reflected?
nm

(b) Explain how a bubble of different thickness could also strongly reflect light of this same wavelength.
Yes,the larger m value would accommodate different thicknesses to have the same reflected light wavelength.

Score: 1 out of 1

Comment:

(c) Find the two smallest film thicknesses larger than the one given that can produce strongly reflected light of this same wavelength.
-------nm
-------nm

Explanation / Answer

a)
for strong reflection using soap bubble:
2 n t = (m +1/2) lambda
for m = 0
2*1.34*130 = (0+1/2)*lambda
lambda= 696.8 nm
Answer: 696.8 nm

b)
you have done it

c)
lets use m=1,
2 n t = (m +1/2) lambda
2*1.34*t = (1 + 1/2)*696.8
2*1.34*t = (3/2)*696.8
t = 390 nm

lets use m=1,
2 n t = (m +1/2) lambda
2*1.34*t = (2 + 1/2)*696.8
2*1.34*t = (5/2)*696.8
t = 650 nm

Answer:
390 nm
650 nm

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