https://session.masteringphysics.com/myct/itemV Phys Spring 2016 truct Ch 24 HW
ID: 586439 • Letter: H
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https://session.masteringphysics.com/myct/itemV Phys Spring 2016 truct Ch 24 HW first part Problem 24.48 Problem 24.48 A thin film of oil (no 1.50 with varying thickness floats on water (nw 1.33). When it is illuminated from above by white light, the reflected colors are as shown in (Figure 1)-In air, the wavelength of yellow light is 580 nm. Figure 1 Dark Water Part A Why are there no reflected colors at point A? Drag the terms on the left to the appropriate blanks on the right to complete the sentences. Reset Help destructively When illuminated from above at A, light ray reflected from the air-oil interface undergoes a phase shift of T A light ray reflected from the oi-water interface undergoes constructively a phase shift of If the oil thickness at A is negligible compared to the wavelength of the light, then there significant shift in phase due to a path distance traveled by a no phase shift Thus the light reflected from the two surfaces will interfere for all visible wavelengths, and the oil will appear black when viewed from above. Submit M Answers Give up incorrect, Try Again; 9 attempts remaining ou filled in 2 of 4 blanks incorrectly. Part B What is the oils thickness t at point B? Express your answer to three significant figures and include the appropriate units. t 290 nm signed in as Tayor vaughn Help close previous 2/21/20Explanation / Answer
a)
Because of destructive interference
b)
Given that
A thin film of oil of refractive index no = 1.50,
The refractive index of water is nw = 1.33,
The wavelength of the yellow light is = 580 nm
find thickness t. (second thinnest)
path difference 2not + /2 = 2
t = 1.5/(2no)
= 1.5*580*10-9/(2*1.50)
=290 nm
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