Two in phase, monochromatic light rays traverse transparent materials with differingindices of refraction but a common length. The wavelength of the light is 1 = 500. nm . Farfrom the materials the light rays are combined without further phase shifts and there isinterference.a. If n =1.50 n, =1.625 and L=12.0µm what is the phase difference in wavelengths (N, - N, )?b. If n, =1.475=1.60 and L=12.00µm what is the phase difference in wavelengths (N2 - N, )?c. If n =1.475 n, =1.60 and L= 6.00µm what is the phase difference in wavelengths (N, - N )?d. Rank the three cases above in terms of brightness for the combined light.n27.

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Two in phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is 1 =500. nm . Far from the materials the light rays are combined without further phase shifts and there is interference.

Two in phase, monochromatic light rays traverse transparent materials with differing indices of refraction but a common length. The wavelength of the light is 1 =500. nm . Far from the materials the light rays are combined without further phase shifts and there is interference.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 63AP: A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm....

See similar textbooks

Related questions

Q: a glass microscope lens having an index of reflection 1.45 is to be coated with magnesium fluoride…

A: Determine the wavelength of the light in the film as follows. λfilm=λnfilm=550 nm1.46=376.71 nm

Q: Analysis of an interference effect in a clear solid shows that the wavelength of light in the solid…

Q: A thin film with index of refraction n = 1.24 is placed in one arm of a Michelson interferometer,…

A: When film of thickness t, and refractive index n is placed in one arm of Michelson interferometer…

Q: ent oil with index of refraction 1.28 spills on the surface of water (index of refraction 1.33),…

A: Given values:- Refractive index of transparent oil,(n)=1.28 -----(1) Refractive index of…

Q: u wish to make an anti-reflective coating from a material with index of refraction 1.09 to put on…

Q: We wish to coat flat glass (n = 1.50) with a transparent material (n = 1.29) so that reflection of…

Q: White light, with a uniform intensity across the visible wavelength range of 400 nm to 720 nm, is…

A: Given data The lower visible wavelength range is λmin = 400 nm. The higher visible wavelength…

Q: An anti-glare coating is applied to minimize reflection of a certain wavelength from the glass of a…

A: For a anti glare coating, the thickness of the film is in order that destructive interference occurs…

Q: The light from a mercury lamp is incident on a water film of refractive index 1.33 and thicknesst =…

A: We need to find a relation between wavelength, refractive index and thickness for reflection of…

Q: Mourning doves have a small patch of iridescent feathers. The color is produced by a 330-nmthick…

A: From the condition for the constructive interference the wavelength be given as,

Q: A phase change occurs whenever light reflects off of a medium with a lower refractive index than the…

A: When light reflect off of a medium with lower refractive index than the medium that the light is…

Q: hat is the highest-order maximum for 410 nm light falling on double slits separated by 25.0 µm? =___

A: Given that The wavelength of the light is λ = 410 nm The separation…

Q: A glass sheet 0.910 um thick is suspended in air with white light incident perpendicularly on the…

Q: The coherence length of an ordinary white light source can be increased if we place a color filter…

A: Given Emerging light wavelength = 564 nm The coherence length = 0.09100 mm We have to find out The…

Q: Two flat plates of glass with parallel faces are on a table, one plate on the other. Each plate is…

Q: If the wavelength of a monochromatic source is 316 nm in vacuum, what is the wavelength from the…

Q: We wish to coat flat glass (n = 1.50) with a transparent material (n= 1.25) so that reflection of…

Q: A 500-nm-wavelength beam of light illuminates a soap film with air on both sides and an index of…

A: In this question, the wavelength of light and refractive index of film is given. To calculate…

Q: An oil slick on water is 144 nm thick and illuminated by light of all wavelengths incident at a 30°…

A: As we know condition for constructive interference is, 2t = λn2,3λn2,5λn2,.... where t is…

Q: White light reflected at perpendicular incidence from a soap film in air has, in the visible…

Q: In the two-slit interference , the slitwidths are each 12.0 mm,their separation is 24.0 mm,the…

Q: In the figure, two isotropic point sources of light (S1 and S2) are separated by distance 3.20 um…

Q: A technician places a fluid substance, with a refractive index of 1.75, between two horizontal panes…

A: Answer Given n= refractive index =1.75 m= order = 1 λ=wavelength = 550nm We have the formula 2nt =…

Q: When you look through a window, by what time interval is the light you see delayed by having to go…

A: The refractive index of air is, n1=1 The refractive index of glass is, n2=1.50 Let’s assume the…

Q: Given solution A&B A) What is the longest wavelength of light that will experience constructive…

Q: 4.2. The Fresnel reflection at a butt joint with an air gap in a multimode step index fiber is 0.46…

A: We have given The Fresnel reflection at a butt joint with an air gap in a multimode step index fiber…

Q: A soap bubble is 115 nm thick and illuminated by white light incident perpendicular to its surface.…

Q: White light (consisting of wavelengths from 400 nm to 700 nm) is normally incident on a grating.…

Q: The lens of a camera has a thin film coating designed to enhance the ability of the lens to absorb…

Q: Light passes through a diffraction grating with a slit spacing of 0.001 mm. A viewing screen is 100…

A: The slit spacing, d=0.001 mm=0.001×10-3 m The distance between the screen and the grating, L=100…

Q: A thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates…

A: The expression for the required minimum thickness of the liquid layer is,

Q: In the figure, assume two waves of light in air, of wavelength 407 nm, are initially in phase. One…

Q: Fig. 1 shows two light rays of wavelength 610 nm traveling from air through twodifferent media with…

Concept explainers

Interference of Light

The word "constructive" signifies addition in interference. Constructive interference occurs when the path of the waves that start from the slit differs by 1 entire wavelength or in the intervals of the same. Hence, the waves that are presented on the screen are in phase (crest to crest/trough to trough). The waves interfering constructively forms bright fringes on the screen.

Question

Two in phase, monochromatic light rays traverse transparent materials with differing
indices of refraction but a common length. The wavelength of the light is 1 = 500. nm . Far
from the materials the light rays are combined without further phase shifts and there is
interference.
a. If n =1.50 n, =1.625 and L=12.0µm what is the phase difference in wavelengths (
N, - N, )?
b. If n, =1.475
=1.60 and L=12.00µm what is the phase difference in wavelengths (
N2 - N, )?
c. If n =1.475 n, =1.60 and L= 6.00µm what is the phase difference in wavelengths (
N, - N )?
d. Rank the three cases above in terms of brightness for the combined light.
n2
7.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2-Part a

Step 3-Part b

Step 4-Part c

Step 5

Step by step

Solved in 5 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

An amateur astronomer wants to build a telescope with a diffraction limit that will allow him to see if there are people on the moons of Jupiter. (a) What diameter mirror is needed to be able to see 1.00-m detail on a Jovian moon at a distance of 7.50108 km from Earth? The wavelength of light averages 600 nm. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Radio telescopes are telescopes used for the detection of radio emission from space. Because radio waves have much longer wavelengths than visible light, the diameter of a radio telescope must be very large to provide good resolution. For example, the radio telescope in Penticton, BC in Canada, has a diameter of 26 m and can be operated at frequencies as high as 6.6 GHz. (a) What is the wavelength corresponding to this frequency? (b) What is the angular separation of two radio sources that can be resolved by this telescope? (c) Compare the telescope’s resolution with the angular size of the moon.
(a) What is the minimum angular spread of a 633-nm wavelength He-Ne laser beam that is originally 1.00 mm in diameter? (b) If this laser is aimed at a mountain cliff 15.0 km away, how big will the illuminated spot be? (c) How big a spot would be illuminated on the Moon, neglecting atmospheric effects? (This might be done to hit a corner reflector to measure the round-trip time and, hence, distance.) Explicitly show how you follow the steps in Problem-Solving Strategies for Wave Optics.
(a) The dwarf planet Pluto and its moon, Charon, are separated by 19,600 km. Neglecting atmospheric effects, should the 5.08-m-diameter Palomar Mountain telescope be able to resolve these bodies when they are 4.50109 km from Earth? Assume an average wavelength of 550 nm. (b) In actuality, it is just barely possible to discern that Pluto and Charon are separate bodies using a ground-based telescope. What are the reasons for this?
In each of the following situations, a wave passes through an opening in an absorbing wall. Rank the situations in order from the one in which the wave is best described by the ray approximation to the one ill which the wave coming through the opening spreads out most nearly equally in all directions in the hemisphere beyond the wall, (a) The sound of a low whistle at 1 kHz passes through a doorway 1 m wide, (b) Red light passes through the pupil of your eye. (c) Blue light passes through the pupil of your eye. (d) The wave broadcast by an AM radio station passes through a doorway 1 m wide, (e) An x-ray passes through the space between bones in your elbow Joint.
A beam of 580-nm light passes through two closely spaced glass plates at close to normal incidence as shown in Figure P27.23. For what minimum nonzero value of the plate separation d is the transmitted light bright?
(a) Find the maximum number of lines per centimeter a diffraction grating can have and produce a maximum for the smallest wavelength of visible light. (b) Would such a grating be useful for ultraviolet spectra? (c) For infrared spectra?
Red light of wavelength of 700 nm falls on a double slit separated by 400 nm. (a) At what angle is the first-order maximum in the diffraction pattern? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
A narrow beam of light containing red (660 nm) and blue (470 nm) wavelengths travels from air through a 1.00-cm-thick flat piece of crown glass and back to air again. The beam strikes at a 30.0incident angle. (a) At what angles do the two colors emerge? (b) By what distance are the red and blue separated when they emerge?
A hydrogen gas discharge lamp emits visible light at four wavelengths, =410 , 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for l=486 nm?
X-rays incident on a crystal with planes of atoms located 0.378 nm apart produce a diffraction pattern in which a first-order maximum is observed at an angle of 14.2. a. What is the wavelength of the X-rays incident on the crystal? b. How many orders are visible in the diffraction pattern?