Question

A soap bubble with n=1.33 is illuminated by white light and produces constructive interference for a wavelength of 410 nm. The bubble is in air.

a. Sketch the situation indicating where the light is reflected and what the indices of refraction are at each reflection.

b. Is the reflected wave inverted at the air-to-bubble interface? Explain.

c. Is the reflected wave inverted at the bubble-to-air interface? Explain.

d. What is the minimum thickness of the bubble to produce constructive interference at this wavelength?

e. What wavelength destructively interferes at this bubble thickness?

Answer #1

(i). Calculate the minimum thickness of a soap bubble film with
constructive interference if the film is illuminated with a light
whose is wavelength in free space, = 600 nm.
(ii). Explain what happen if the film is twice as thick.
Determine whether this situation will result in constructive
interference?

A 641-nm-thick soap film (n = 1.49) in air is illuminated with
white light in a direction perpendicular to the film. For how many
different wavelengths in the 300 to 700 nm range is there (a) fully
constructive interference and (b) fully destructive interference in
the reflected light?

A soap bubble (n 5 1.33) having a wall thickness of 120 nm is
floating in air. (a) What is the wavelength of the visible light
that is most strongly reflected? (b) Explain how a bubble of
different thickness could also strongly reflect light of this same
wavelength. (c) Find the two smallest film thicknesses larger than
the one given that can produce strongly reflected light of this
same wavelength.

White light is incident on a soap film (n = 1.33, thickness =
937.0 nm ) suspended in air.
If the incident light makes a 45 ? angle with the normal to the
film, what visible wavelength(s) will be constructively
reflected?

A thin film of soap solution (n = 1.33) has air on either side
and is illuminated normally with white light. Interference minima
are visible in the reflected light only at wavelengths of 320, 360,
and 720 nm in air.
1)
What is the minimum thickness of the film? (Express your
answer to two significant figures.)

A soap bubble is essentially a very thin film of water (nn =
1.33) surrounded by air. The colors that you see in soap bubbles
are produced by interference.
What visible wavelengths of light are strongly reflected from a
388-nmnm-thick soap bubble?
Hint: Think about the reflection phase shifts at
both boundaries.
What color would such a soap bubble appear to be?

A soap bubble (n = 1.37) having a wall thickness of 124
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.
(c) Find the two smallest film thicknesses larger than the one
given that can produce strongly reflected light of this same
wavelength.
nm (smaller thickness)
nm (larger thickness)

Light of wavelength 656 nm is incident perpendicularly on a soap
film (n = 1.33) suspended in air. What are the (a) least and (b)
second least thicknesses of the film for which the reflections from
the film undergo fully constructive interference?

A soap bubble (n = 1.29) floating in air has the shape of a
spherical shell with a wall thickness of 111 nm.
(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. This answer has not
been graded yet.
(c) Find the two smallest film thicknesses larger than 111 nm
that can produce strongly reflected light of...

1. A thin film of soap with n = 1.33 hanging in the air reflects
dominantly red light with λ = 670 nm. What is the minimum thickness
of the film? 2. Now this film is on a sheet of glass, with n =
1.53. What is the wavelength of the light in air that will now be
predominantly reflected?

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