Hello~ I would like to get help on the following question~ Chapter 21 Exercise #
ID: 1762517 • Letter: H
Question
Hello~I would like to get help on the following question~ Chapter 21 Exercise #66: A soap bubble is essentially a very thin film ofwater (n=1.33) surrounded by air. The colors that you see in soapbubbles are produced by interference, much like the colors ofdichroid glass. a. Derive an expression for the wavelengths cfor which constructive interference causes a strong reflection froma soap bubble of thickness d. Hint: think about the reflection phase shifts at bothboundaries. b. What visible wavelengths of light are strongly reflectedfrom a 390 nm thick soap bubble? What color would such a bubbleappear to be? Thank you so much! Hello~
I would like to get help on the following question~ Chapter 21 Exercise #66: A soap bubble is essentially a very thin film ofwater (n=1.33) surrounded by air. The colors that you see in soapbubbles are produced by interference, much like the colors ofdichroid glass. a. Derive an expression for the wavelengths cfor which constructive interference causes a strong reflection froma soap bubble of thickness d. Hint: think about the reflection phase shifts at bothboundaries. b. What visible wavelengths of light are strongly reflectedfrom a 390 nm thick soap bubble? What color would such a bubbleappear to be? Thank you so much! Hint: think about the reflection phase shifts at bothboundaries. b. What visible wavelengths of light are strongly reflectedfrom a 390 nm thick soap bubble? What color would such a bubbleappear to be? Thank you so much!
Explanation / Answer
a) 2nd + /2 = k b) 2nd = (k - 1/2) = 2nd/(k - 1/2) = 1037/(k - 1/2) nm k = 1, > 760 nm k = 2, = 691 nm (red) k = 3, = 415 nm (violet)
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.