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The walls of a soap bubble have about the same index of refraction as that of pl

ID: 1508834 • Letter: T

Question

The walls of a soap bubble have about the same index of refraction as that of plain water, n=1.33. There is air both inside and outside the bubble.

A) What wavelength (in air) of visible light is most strongly reflected from a point on a soap bubble where its wall is 286 nm thick?

B) To what color does this correspond?

C) What wavelength (in air) of visible light is most strongly reflected from a point on a soap bubble where its wall is 341 nm nm thick?

D) To what color does this correspond?

red blue orange green

Explanation / Answer

A) The wavelength of light having constructive interference is the most strongly reflected one.

For constructive interference for soap bubble,

2nsoapd = (n + 0.5)

=> = 2 * 1.33 * 286 / (n + 0.5) = [760.76/(n + 0.5)] nm

For n = 1, = 507.2 nm, which is a part of visible light.

B) Green

C) = 2 * 1.33 * 341 / (n + 0.5) = [907.06/(n + 0.5)] nm

For n = 1, = 604.7 nm, which is a part of visible light.

D) Orange