Water waves with an amplitude of 0.80cm and a wavelength of 2.5cm go through two openings in a barrier. Each opening is 1.2cm wide, and the openings are seperated by 12.0cm(center to center). Find the angles of the lines along which the waves constructively interfere.

Water waves with an amplitude of 0.80cm and a wavelength of 2.5cm go through two openings in a barrier. Each opening is 1.2cm wide, and the openings are seperated by 12.0cm(center to center). Find the angles of the lines along which the waves constructively interfere.

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter4: Diffraction

Section: Chapter Questions

Problem 28P: A water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening....

See similar textbooks

Related questions

Q: A thin, flat slide of glass (n = 1.50) lies on a table, and a second, identical glass slide is…

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

Q: A riverside warehouse has two open doors, as in Figure P24.11. Its interior is lined with a…

A: Write the expression for angle from the original beam

Q: It is the bending of light as it passes through the edges of obstacles or barriers through small…

A: Diffraction is the bending of light as it passes through the edges of obstacles or barriers through…

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

Q: You wish to make an anti-reflective coating from a material with index of refraction 1.61 to put on…

A: Given:refractive index of material, n1 = 1.61refractive index of glass, ng = 1.31wavelength of…

Q: Sound waves with frequency 4000 Hz and speed 350 m/s diffract through the rectangular opening of a…

Q: thin polymer (n = 1.6) coating is applied to the glass (n = 1.4). What is the minimum thickness of…

A: Given: np=1.6ng= 1.4λ= 650 nm Minimum thickness of coating formula is given as:…

Q: Let yl and y2 be the wavefunctions of two interfering waves. In which of the listed cases, the…

Q: What is the largest wavelength that will give constructive interference at an observation point 161…

Q: A laser beam with an unknown wavelength is used in a Michelson interferometer. When the movable…

A: Given : A laser of unknown wavelength is used. Distance moved by the movable mirror, ∆b = 29 μm No.…

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

Q: Plastic coatings are put in a car's glass window (n = 1.52) in order to keep the interior of cars…

A: Given:- Plastic coatings are put in a car's glass window (n = 1.52) the index of refraction of the…

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

A: The wavelength of visible light is 452.35 nm.

Q: Let h=24 cm and x=14 cm. What is the longest wavelength for which there will be constructive…

A: Given the values are h=24 cm and x=14 cm. Since, condition for the constructive interference is…

Q: A laser beam is incident on two slits with a separation of 0.200 mm, and a screen is placed 5.00 m…

A: Step 1 SeparationDistance from the slitThe fringes are separated by

Q: Two light sources emit waves that are in phase with a wavelength of λ = 350 nm. The two waves meet…

A: For destructive interference phase difference is (2n+1)λ2. So, the phase difference come out to be…

Q: *Chapter 36, Problem 078 GO A double-slit system with individual slit widths of 0.0250 mm and a slit…

Q: if light travels from air (n=1), to a thin film of material M1 (n=1.45) on top of material M2…

A: Given: n1 = 1.45n2 = 1.72λ = 549 nm To find: Smallest thickness (t)

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

Q: On the soap film (n=1,3), which is in the air, a normal beam of white light rays falls. At what is…

A: Solution: given that n = 1.3 wavelength = 0.65 microns

Q: A 3.04-kHz tone is being produced by a speaker with a diameter of 0.212 m. The air temperature…

Q: A spacer is cut from a playing card of thickness 2.90 x 10-1 m and used to separate one end of two…

A: a)Number of phase reversals can be found from the condition of destructive interference.

Q: What is the thinnest film of MgF2 (n = 1.38) on glass that produces a strong reflection for orange…

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

Q: . Light travels through a single-slit and forms an interference pattern. The spacing of the dark…

A: The spacing between the dark fringes on one side of the pattern = 1.44 cm

Q: A riverside warehouse has two open doors, as in the figure below. Its interior is lined with a…

A: Given data: wavelength (λ) = 2.8 m Separation of the persons y = 20 m distance of the persons from…

Q: Sound waves with frequency 3000 Hz and speed 343 m/s diffract through the rectangular opening of a…

A: Figure below shows the given condition.

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: . Real life example of Constructive Interference A. Light reflected from a film of oil floating on…

A: (6) Light reflected from a film of oil floating on water is best real life example of interference…

Q: Sound waves with frequency 2600 Hz and speed 343 m/s diffract through the rectangular opening of a…

Q: Mourning doves have a small batch of iridescent feathers. The color is produced by a 260-nm-thick…

Q: thin film of soap with n = 1.38 hanging in the air reflects dominantly red lighnt with A = 672 hm.…

Q: A thin film of soap with n = 1.40 hanging in the air reflects dominantly red light with λ = 664 nm.…

Q: A beam of light consisting of two wavelengths 6500 A and 5200 A is used to obtain interference…

Q: Consider the perpendicular reflection of light of wavelength 520 nm in air from a soap film with…

A: Given data *The given wavelength of th light is λ=520 nm *The refractive index is n = 1.32

Q: An air gap exists between two glass plates (n = 1.55). a. Determine the minimum width of the air gap…

A: Given : Refractive index of glass, n2 = 1.55 Refractive index of air, n1 = 1 Frequency of orange…

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

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

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 water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening. Ocean waves of 20.0-m wavelength approach the opening straight on. At what angles to the incident direction are the boats inside the harbor most protected against wave action?
A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in Figure P27.17. The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 150 in from the wall with the open doors. Person A stands along a line passing through the midpoint between the open doors, and person B stands a distance y = 20 m to his side. A boat o the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 5.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to center.
Water waves with an amplitude of 0.80cm and a wavelength of 2.5cm go through two openings in a barrier. Each opening is 1.2cm wide, and the openings are seperated by 12.0 cm (center to center). FInd the angles of the lines along which the waves constructively interfere.
You wish to make an anti-reflective coating from a material with index of refraction 1.73 to put on top of glass with an index of refraction 1.4. What is the minimum thickness of the coating that will produce destructive interference for light of wavelength 420.0 nm? Answer in units of nm.
A two-point source interference pattern is set up using blue light. What changes in the pattern would beobserved if red light was used?a. No changes are observed.b. The pattern disappears since red light has a very long wavelength.c. The pattern has more nodal lines.d. The pattern has fewer nodal lines.e. none of the above
Water waves having parallel crests 4.5 cm apart passthrough two openings 7.5 cm apart in a board. At a point3.0 m beyond the board, at what angle relative to the“straight-through” direction would there be little or nowave action?
At a location that is 3.00 m from wave source A and 4.20 m from wave source B, constructive interference occurs. Source A and source B are coherent and in phase. What is the maximum wavelength of the waves?
An acoustic wave strikes a boundary at medium 1 (1540 m/sec) with a 45 degrees. Upon entering medium 2 (980 m/sec) with oblique incidence, what will happen to the transmission angle?
The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more reflective, they are often coated with a layer of silicon monoxide of index of refraction 2.00.What is the minimum coating thickness needed to ensure that light of wavelength 560 nm and of perpendicular incidence will be reflected from the two surfaces of the coating with fully constructive interference?
White light is sent downward onto a horizontal thin film that is sandwiched between two materials. The indexes of refraction are 1.80 for the top material, 1.70 for the thin film, and 1.50 for the bottom material. The film thickness is 5.00* 10-7 m. Of the visible wavelengths (400 to 700 nm) that result in fully constructive interference at an observer above the film, which is the (a) longer and (b) shorter wavelength? The materials and film are then heated so that the film thickness increases. (c) Does the light resulting in fully constructive interference shift toward longer or shorter wavelengths?
If a thin film has a thickness that is(a)1/4 of a wavelength, constructive interference will alwaysoccur.(b) 1/4 of a wavelength, destructive interference will alwaysoccur.(c) 1/2 of a wavelength, constructive interference will alwaysoccur.(d)1/2 of a wavelength, destructive interference will alwaysoccur.(e) None of the above is always true.
White light is incident normally on a glass lens (n=1.52) that is coated with a film of MgF2 (n=1.38). For what minimum thickness of the film will the reflections at the two interfaces result in total destructive interference of yellow light of wavelength 580 nm (in air)?