Sunlight shines directly on to the wall of a large soap bubble (n = 1.33) which

Question

Sunlight shines directly on to the wall of a large soap bubble (n = 1.33) which is floating in air (n=1). The portion of the this light that is visible to our eye has wave lengths from roughly %u03BB=400nm to %u03BB=700nm.

1)

Assuming the light hits perpendicular to the wall of the soap bubble, what is the minimum thickness it could have to produce completely constructive interference for blue light (%u03BB = 475 nm)?

tconstr =

nm

2)

What is the minimum thickness it could have to produce completely destructive interference for this same blue light?

tdestr=

nm

3)

What is the minimum thickness it could have to produce completely destructive interference for blue light (%u03BB = 475 nm)?

tdestr=

Explanation / Answer

Part 1)

Apply 2nt = (m + .5)(wavelength)

2(1.33)(t) = (.5)(475 X 10^-9)

t = 89.3 nm

Part 2)

Apply 2nt = (m)(wavelength)

2(1.33)(t) = (1)(475 X 10^-9)

t = 179 nm

Part 3)

Part three is the same question as part 2. Did you mean that or did you mean to type in something else. If you meant it, then...

Apply 2nt = (m)(wavelength)

2(1.33)(t) = (1)(475 X 10^-9)

t = 179 nm

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