A thin film of oil (n = 1.44) of thickness 434 nm with air on both sides is illuminated with white light at normal incidence. Determine the most strongly and the most weakly reflected wavelengths in the range 343 nm to 433 nm

A thin film of oil (n = 1.44) of thickness 434 nm with air on both sides is illuminated with white light at normal incidence. Determine the most strongly and the most weakly reflected wavelengths in the range 343 nm to 433 nm

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter3: Interference

Section: Chapter Questions

Problem 47P: To save money on making military aircraft invisible to radar, an inventor decides to coat them with...

See similar textbooks

Related questions

Q: 2. Suppose you pass light from a He-Ne laser through two slits separated by 0.0100 mm and find that…

A: According to the interference phenomenon, the wavelength of the light is,

Q: Consider a source of light with wavelength ? = 530 nm that shines on two identical narrow slits. The…

A: For destructive interference, the path difference should be an odd multiple of (λ/2). A) for…

Q: Light of wavelength 630 nm passes through a slit of width 0.200 mm. (b) Find the width of the…

A: b) The position of the mth dark fringe can be given as, Here, θm, ym, and L represent the dark…

Q: Explain the topic below General Conditions for Interference For sustained interference of light to…

A: The wave nature of light can be explained by the phenomenon called interference of light which is…

Q: A pair of narrow, parallel slits separated by 0.120 mm is illuminated by the green component from a…

Q: Unpolarized light that has an intensity of lo = 860 W/m² is incident on a series of polarizing…

Q: A source of polychromatic light is used to create a two-slit interference pattern on a screen. In…

Q: Light of wavelength λ = 430 nm and intensity I(0) = 210 W/m^2 is incident upon two narrow slits that…

Q: Light with a wavelength of 500 nm is normally incident on a film (i.e. the uppermost film) with an…

A: Write the given values with suitable variables. Here, λ denotes the wavelength, nf denotes the…

Q: ht is λ = 4250 Å. θ1 and θ2 are the angles to the first and second bright fringes above the center…

Q: Thin Film Light is incident perpendicularly on a soap film suspended in air. The soap has an index…

Q: A thin film of glass (n = 1.52) of thickness 0.396 ?m is viewed under white light at near normal…

Q: Two light sources can be adjusted to emit monochromatic light of any visible wavelength. The two…

Q: An oil film (n = 1.42) floating on water is illuminated by white light at normal incidence. The film…

Q: A thin film of oil (n=1.38) of thickness 424 nvm with air on both sides is illuminated with white…

A: Refractive index of the oil film, n = 1.38 Thickness of film, t = 424 nm There is air on both sides,…

Q: An oil film with refractive index 1.48 and thickness 290 nm is floating on water and illuminated…

A: Solution: as given d = 290 nm n = 1.48

Q: An extremely thin sheet of glass is being inspected at the laboratory. Illuminated by white light at…

Q: A double slit system is illuminated with a mixture of red and blue light. Which color produces its…

A: Let m denotes the order of the diffraction, d denotes the separation between the slits, θ denotes…

Q: As shown, suppose that for some point P on the screen r1 = 5,002,248.5λ and r2 = 5,002,251.5λ, where…

A: The path length difference in terms of distance is given as

Q: Incident Light Light of wavelength of 400 nm and 700 nm in air is incident upon a thin soap film (n…

Q: Answer to the following questions. What is the wavelength of a monochromatic light of frequency…

A: Dear student, According to the guidelines I am allowed to answer only one…

Q: What is the separation in meters between two slits for which 619 nm orange light has its first…

A: The wavelength of orange light is, λ=619 nm=619×10-9 m The order of the maximum angle is, m=1 The…

Q: In the figure, two isotropic point sources of light (S, and S,) are separated by distance 2.60 pm…

A: Given:distance d = 2.60 μm=2.6*10-6mwavelength λ = 870 nm = 870*10-9mTo find:Greatest value of xp at…

Q: Coherent light of wavelength 541 nm (1 nm = 10–9 m) is sent through two parallel slits in an opaque…

A: Given:- Coherent light of wavelength 541 nm an opaque material and projected onto a screen 4.00 m…

Q: Why is the following situation impossible? A piece of transparent material having an index of…

A: Given data The index of refraction for the transparent material is: n = 1.50 The wavelength of the…

Q: A thin film of oil (n - 1.30) is located on smooth, wet pavement. When viewed perpendicular to the…

Q: Thin Film 1 Light is incident perpendicularly on a soap film suspended in air. The soap has an index…

A: If light incident perpendicular to the surface, direction of reflection of light is opposite to the…

Q: A film of soapy water (n = 1.33) on top of a plastic cutting board has a thickness of 206 nm. What…

Q: A light source of wavelength 388nm is incident on a slit of .025 mm wide, and the resulting…

Q: When 400-nm red light is incident on a vertically oriented diffraction grating that is 3.2 cm wide,…

Q: Which of the following sets of formulas best describes single-slit diffraction? [OB is the angle at…

A: d option is correct Sin(øD)=mλ/d where m is any integer except 0

Q: A thin film, with a thickness of 272.7 nm and with air on both sides, is illuminated with a beam of…

Q: In an experiment with a diffraction grating (6000 lines per cm), there are two interference patterns…

A: We have, dsinθ=nλwhere, d is the grating element that is =16000=1.67x10-4cm…

Q: The wavelengths of the visible spectrum are approximately 400nm (violet) to 700nm (red). Find the…

Q: The adjacent figure shows a small film of a transparent material of thickness d and refractive index…

Q: A laser beam of wavelength l = 632.8 nm shines at normal incidence on the reflective side of a…

A: Given: Wavelength, λ=632.8 nm=632.8 ×10-9 m d=1.60 mm=1.60×10-3 m a) CD acts as a diffraction…

Q: The wavelengths of the visible spectrum are approximately 400nm (violet) to 700nm (red). Find the…

A: Solution: Given that visible spectrum are approximately 400nm (violet) to 700nm (red). grating with…

Q: OPTICS Wave optics. Interference. Diffraction. Polarization 1. Young's Double Slit Experiment…

Q: Light from a coherent monochromatic light source with a wavelength of 5.50 ✕ 102 nm is incident on…

A: Given Data The wavelength of the light source is λ = 5.50 x 102 nm. The distance between the pair of…

Q: What values of the phase difference (A$) between rays 1 an 2 lead to constructive interference in…

A: Wave length of the light in the air is λ=557 nm=5.57×10-7 m Refractive index of Air is n=1…

Q: A light source is directed through a diffraction grating such that it produces an interference…

A: A spectrum of a light source could be any one of the three types, Continuous: In this spectrum,…

Q: How can one change a double slit pattern produced by a monochromatic source from few nodal lines…

A: In the this double slit experiment here we need to reduce the path difference i.e., need to decrease…

Q: film of soapy water (n=1.33) on top of a plastic cutting board has a thickness of 278 nm. What is…

Q: Two antennas located at points A and B are broadcasting radio waves of frequency 104.0 MHz. The…

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

Q: 1)ln a Young's double-slit experiment, both the wavelength and the slit separation are increased by…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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

100%

HINT

(a)

the most strongly reflected

(b)

the most weakly reflected

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 1 images

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

A thin film of oil (n = 1.40) of thickness 434 nm with air on both sides is illuminated with white light at normal incidence. Determine the most strongly and the most weakly reflected wavelengths in the range 340 nm to 413 nm. (Enter your answers in nm.) HINT (a) the most strongly reflected nm (b) the most weakly reflected nm
A thin film of oil (n = 1.44) of thickness 436 nm with air on both sides is illuminated with white light at normal incidence. Determine the most strongly and the most weakly reflected wavelengths in the range 482 nm to 653 nm. (Enter your answers in (a) the most strongly reflected nm nm.) (b) the most weakly reflected nm
A thin film of oil (n=1.38) of thickness 424 nvm with air on both sides is illuminated with white light at normal incidence. Determine the most strongly and the most weakly reflected wavelengths in the range 314nm to 413nm( enter answers in nvm) a) the most strongly reflected nm b) the most weakly reflected nm
(a) A Plane transmission grating having 5000 lines per cm is being used under normal incidence of light. I. What is the longest wavelength of light for which a spectrum can be seen? II. What is the highest order spectrum that can be seen for the light of wavelength 6000 Aº
Consider two coherent sources producing EM waves at f=2.7×1014[Hz] in vacuum. The path difference between the two waves is 3.0[nm]. What is the phase difference between the two waves? A.0.017[rad] B.0.019[rad] C.0.17[rad] D.0.19[rad]
A sheet of paper 0.014 cm thick separates two sheets of glass to form an air wedge 16.5 cm long. When the air wedge is illuminated with monochromatic light, the distance between the centers of the first and eighth dark bands is 2.3 mm. Determine the wavelength of the light, in nm,
2. A perpendicularly polarized wave impinges from medium 1 (uo, 4ɛ) to medium 2 (μo, 3ɛo). Medium 11 45° X Medium 2 Z What is the critical angle? (b) Let the incident angle be 45° and assume Ē¹ is 1-polarization and E,= 1 [V/m]. Find the transmitted fields Ē¹ and ¹. Express all quantities in terms of ko (= ωγμε).
Q. 1(a) A step-index fiber has a core diameter of 12-μm. The core refractive index is 1.445 and a relative refractive index difference Δ of 0.2% at operating wavelength 1.3-μm. i.How much is the velocity of light within the core of this fiber?ii.How many modes can this fiber support? iii.Determine the condition of the relative refractive index difference Δ to make the fiber operate in the single mode at operating wavelength 1.2-μm.
Q. 1(a) A step-index fiber has a core diameter of 12-μm. The core refractive index is 1.445 and a relative refractive index difference Δ of 0.2% at operating wavelength 1.3-μm. i.How much is the velocity of light within the core of this fiber?ii.How many modes can this fiber support?iii.Determine the condition of the relative refractive index difference Δ to make the fiber operate in the single mode at operating wavelength 1.2-μm. (b) A step-index multi-mode fiber has a length of 2.3 km, core index n1=1.45, Δ=0.01,(i) please calculate the modal delay in this optical fiber. (ii) Please estimate the limit of bit-rate distance product of this fiber.
Medium 1 (n-1.4) is coated on top of medium 2 (n₂- 1.7). The thickness of medium 1 is D-80 nm. A white light beam in air strikes the air-medium 1 interface perpendicularly. What is the largest visible wavelength of the reflected light that is totally removed by the coating? (Visible spectrum ranges from 380 nm to 730 nm.) ↓ O 610 nm O 500 nm O 450 nm 550 nm O 680 nm air medium 1 medium 2 Time 1H 2
Question 3: i. Define the normalized frequency for optical fiber and explain its use in the determination of the number of guided modes propagating within a step-index fiber. ii. A step-index fiber in the air has a numerical aperture of 0.16, a core refractive index of1.45, and a core diameter of 60 µm. Determine: a. The number of guided modes propagating in the fiber when the light at a wavelength of 0.9 μm is transmitted.
Monochromatic, coherent light is used in a Michelson Interferometer. One of the movable mirrors is shifted by 1.625 10-m. You see 50 pairs of bright and dark fringes passing the observation screen (or detector). What is the wavelength of the light? Please round the result to a whole number. X/nm What color does the used light have? Number