unlight shines directly on to the wall of a large soap bubble (n = 1.34) which i

Question

unlight shines directly on to the wall of a large soap bubble (n = 1.34) which is floating in air (n=1). The portion of the this light that is visible to our eye has wave lengths from roughly =400nm to =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 violet light ( = 400 nm)? tconstr = What is the minimum thickness it could have to produce completely destructive interference for this same violet light? tdestr= 5) What is the minimum thickness it could have to produce completely destructive interference for red light ( = 652 nm)? tdestr=

Explanation / Answer

nbubble = 1.34

1)

t = thickness

= wavelength of voilet light = 400 nm

using the equation for constructive interference

2 nbubble t = m

at m = 1

2 (1.34) t = 1 (400)

t = 149.25 nm

for destructive interference of the voilet light , we have the condition as

2 nbubble t = (m + 1/2)

at m = 1

2 (1.34) t = (1/2) (400)

t = 74.6 nm

for destructive interference of the red light , we have the condition as

2 nbubble t = (m + 1/2) red

at m = 1

2 (1.34) t = (1/2) (652)

t = 121.6 nm

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