Problem 9 A thin film in air is 410nm thick and is illuminated by white light normal to its surface. Its index of refraction is 1.50. What wavelength in the visible spectrum will be intensified in the reflected beam? Air n=1.50 Air 180° phase change d=410 nm

Problem 9 A thin film in air is 410nm thick and is illuminated by white light normal to its surface. Its index of refraction is 1.50. What wavelength in the visible spectrum will be intensified in the reflected beam? Air n=1.50 Air 180° phase change d=410 nm

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter36: Applications Of The Wave Model

Section: Chapter Questions

Problem 37PQ

See similar textbooks

Related questions

Q: 6. A thin beam of white light traveling in air strikes one face of a 90.0° glass prism as shown in…

A: From the question, it is given that- Wavelength of red light: λred=700 nm = 700×10-9 m Index of…

Q: Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection of a…

A: This is a problem regarding interference of light through a thin film. For light rays interfering…

Q: A diffraction grating with n = 2.5E-05 lines/nm is used to separate two colors of light. The angle…

A: Given, Diffraction grating with n=2.5×10-5 lines/nm Angle between first maxima ∆θ=θ1-θ2=0.16°…

Q: Q4: White light is incident on a soap film at 4 an angle sin and the reflected light is observed…

Q: Question 9 of 15 A thin layer of oil (n = 1.25) covers the surface of a puddle of water (n = 1.33).…

Q: 6 A soap bubble 250 um thick is illuminated by white light. The index of refraction of the soap film…

Q: A light ray coming from a brine solution traveling to an unknown gas (ng = 1.17) hits the brine-gas…

A: Let the refractive index of the brine solution be nb. As no light is transmitted in the gas, the…

Q: Constants I Periodic Table Light is incident along the normal to face AB of a glass prism of…

A: Assuming that the outer medium is air RI of air, n1 = 1Ri of glass prism, n2 = 1.7∠ABC, θ = 90°αmax…

Q: Problem 1: Suppose light falls on double slits separated by 138 um. Randomized Variables d = 138 um…

A: Answer

Q: Problem 1: A grating has 8000 slits ruled across a width of 4 cm. What is the wavelength of the…

A: Given data: The number of slits are n=8000 slits. The width is w=4 cm. The order of light is m=3.…

Q: 2. a) Light of wavelengths 650 nm and 480 nm are in a parallel beam which goes from glass flint to…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: Problem 3 White light reflected at perpendicular incidence from a soap film in air has, in the…

Q: Problem 3: A thin layer of oil (n = 1.22) is floating on water (n = 1.33). Calculate the minimum…

A: When light ray falls on the oil layer floating on the water, the reflected ray from air-oil…

Q: Problem 24.26 Part A Two flat glass surfaces are separated by a 150-nm gap of air. What wavelength…

Q: Problem 3: Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection…

Q: 6. A soap bubble 250 nm thick is illuminated by white light. The index of refraction of the soap…

A: Given thickness t = 250nm Refractive index n = 1.36

Q: #5 Wavelengths of light in refractive media What is the wavelength monochromatic light in diamond…

A: Given Wavelength in air =550 nm Refractive index =2.42

Q: A beam of 525 nm light is incident on a diffraction grating that has 420 grooves/mm. (a) Determine…

Q: Problem 15: Structures on a bird feather act like a reflection grating having 450 lines per…

A: This problem is solved by using diffraction grating equation dsin(theta) =n(lambda) Where, d is…

Q: Problem 6: In this problem, use 481 nm for the wavelength of blue light and the index of refraction…

A: wavelength of blue light (λ) = 481 nm index of refraction (n) = 1.40

Q: 1. The limit to the eye's acuity is actually related to diffract (a) What is the angle between two…

A: GivenDiameter of pupil, D=2.8 mm=2.8×10-3 mAverage wavelength, λ=540 nm=540×10-9 m

Q: 1. Two coherent radio point sources separated by 2.0m are radiating in phase with a wavelength…

A: ∗Too get a maxima on screen path difference should n λ. When n=0,±1,±2, ‐‐‐‐ Means path…

Q: OPTICS PROBLEMS 1. (a) A viewing screen is separated from a double-slit source by 1.2 m. The…

A: a)The equation for the position of a bright fringe is given by,

Q: Problem 4 Lenses are often coated with thin films of transparent substances such as MgF, (n=1.38) to…

A: In this question we have to find the thickness of the thin film coating. Note: Due to company policy…

Q: A light ray is traveling through water (n=1.33) angle= 15 degrees until hits a diamond (n=2.42)…

A: 1. According to law of reflection, angle of incidence is equal to the angle of reflection. θi=θr'…

Q: An oil film (n = 1.46) floats on a water puddle. You notice that green light (A = 520 nm) is absent…

Q: Light from Two-Point Incoherent Source. A spatially incoherent quasi-monochromatic source of light…

A: In this problem, determine an expression of intensity on a screen any general position.

Q: Problem 4: Anti-reflective coatings on lenses use thin-film interference to eliminate the reflection…

A: Solution can be given as follows :-

Q: Q2. (a) The limits of visible spectrum are approximately 400nm to 700nm. Find the angular width of…

A: Determine the separation between the two adjacent slits as follows. d=1N=11500 /inch=1…

Q: 2c. Calculate the speed of red light with a wavelength of 650. nm in air as it passes through a…

A: The wavelength of red light in the air, λa=650 nm The refractive index of the water, nw=1.33 The…

Q: Problem 1. A ray of light of frequency 5x 10 Hz is passed through a liquid. The wavelength of light…

A: Given : f = 5 × 1014 Hz λl = 450 nm = 450 × 10-9 m

Q: Question 5 of 22 A thin layer of oil (n = 1.25) covers the surface of a puddle of water (n = 1.33).…

Q: Problem 1. While driving to campus on a rainy morning, a very thin layer of water covers the…

A: refractive index of glass in the windshield (n) = 1.518thickness (t) of the water layer = 30 nm…

Q: 1. A beam of white light goes from air into the water droplet at an incidence angle of 36.2 degrees.…

A: As per bartleby guidelines I can't answer all three questions. I'm authoring only 1st question.…

Q: Distinguish clearly between refraction and diffraction of light. Draw one ray diagram in each case.…

A: Refraction is the bending of light (it also happens with sound, water and other waves) as it passes…

Q: Q2: a) Sunlight reflects off the smooth surface of an unoccupied swimming pool. (i) At what angle of…

A: This problem involves polarization by reflection at an air–water interface in parts (a) and (b) and…

Q: Light of wavelength λ = 450 nm passes through a single slit of width a = 0.32 mm. A diffraction…

Q: Q.1 (a) A beam of white light goes from air into water at an incident angle of 75.0. At what angles…

Q: Problem 6: Suppose you have polarized light of intensity 140 W/m2. What will its intensity be…

A: Given Intensity ( Io) = 140 W/m2 Angle between axis of polarizer relative to the light’s…

Q: Problem 10: Consider a diffraction grating through which monochromatic light (of unknown…

Q: Transparent polycarbonate transmits 93% of the incident light. What will be the degree of…

A: Brewster angle: It is an incident angle at which particular polarized light is perfectly transmitted…

Concept explainers

Diffraction of light

In physics, the term diffraction is defined as the bending of light around the corners of the obstacle. As a light ray passes by an aperture, it bends around the edges or through slits, it spreads out through a narrow opening. The diffracted light will produce fringes of bright and dark or colored bands which are labeled as a diffraction pattern.

Question

Problem 9
A thin film in air is 410nm thick and is
illuminated by white light normal to its surface. Its index of
refraction is 1.50. What wavelength in the visible spectrum
will be intensified in the reflected beam?
Air
n=1.50
Air
12
180° phase
change
a
d=410 nm
113

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Diffraction of light$

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

Sodiums emission lines at 589.0 nm and 589.6 nm pass through a diffraction grating and form two m = +1 maxima on a viewing screen. Would the spacing between the two lines increase, decrease, or remain unchanged (indicate your answers with I. D. or U) if the grating is exchanged (a) for one having fewer lines per millimeter, or (b) for one with twice the total number of lines? What if (c) the intensity of the light is doubled, or (d) the maxima are viewed in second order?
A student sets up a double-slit experiment using mono chromatic light of wavelength . The distance between the slits is equal to 25 . (a) Find the angles at which the m = 1, 2, and 3 maxima occur on the viewing screen. (b) At what angles do the first three dark fringes occur? (c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.
A student sets up a double-slit experiment using mono chromatic light of wavelength . The distance between the slits is equal to 25 . (a) Find the angles at which the m = 1, 2, and 3 maxima occur on the viewing screen. (b) At what angles do the first three dark fringes occur? (c) Why are the answers so evenly spaced? Is the spacing even for all orders? Explain.
10. b) What are two possible changes that would each result in an increase in number of nodal lines visible on the screen? c) Whta changes would occur if the light were shone through (i) a pair of slits or (ii) a diffraction grating? What would cause these changes?
Problem 10: Consider a diffraction grating through which monochromatic light (of unknown wavelength) has a first-order maximum at 22°. At what angle, in degrees, does the diffraction grating produce a second-order maximum for the same light?
A beam of 525 nm light is incident on a diffraction grating that has 420 grooves/mm. (a) Determine the angle of the second-order ray. °(b) If the entire apparatus is immersed in water, what is the new second-order angle of diffraction? °(c) Show that the two diffracted rays of parts (a) and (b) are related through the law of refraction, by calculating nsin(θ) for each part. [for part (a)] [for part (b)]
Unreasonable Results(a) What visible wavelength has its fourth-order maximum at an angle of 25.0O when projected on a 25,000-line-per-centimeter diffraction grating? (b)What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
12. A normal person’s pupil diameter varies from a minimum of around 2mm to a maximum of around 8 mm. What is the minimum and maximum diffraction limited angular resolution of a normal person’s eye for light of wavelength 600 nm? (b) What is the distance between two just-resolvable points in both cases held at an arms length (0.800 m) from your eye?
Introduction to Optics; a) Explain the experiment represented in figures given below. Write the names of the interferences. b) A pair of screens are placed 13.7m apart. A third order fringe is seen on the screen 2.50cm from the central fringe. If the slits were cut 0.0960 cm apart, determine the wavelength of this light. Roughly what colour is it? L= 13.7 m, n=3, x=2.5 cm, d=0.096 cm,λ= xd/nL
1. How does the diffraction pattern of a wave change when you:a) Change the slit widthb) Change the slit separationc) Change the wavelengthd) Change the distance between the openings and the patterne) Would the behaviours of waves and light be the same for each of the above? If so, what conclusions can you draw about light behaviour?
Rayleigh's Criterion A what distance from your eye can you barely resolve two headlights that are 2m apart? Assume the pupil has a diameter of 4 mm for night vision and use an average wavelength for visible light of 550 nm
i) A grating having 5000 lines per cm is used under normal incidence of light. What will happen to the observed spectrum if 90% of the ruled width of the grating is covered? ii) In a Fraunhoffer diffraction due to a narrow slit, calculate the relative intensities of the first, second and third secondary maxima.