A breakwater at the entrance to a harbor consists of a rock barrier with a 45.5-m-wide opening. Consider ocean waves with wavelength 21.7 m approach the opening straight on. 1) If the opening to the harbor acts just like a single-slit which diffracts the ocean waves entering it, what is the largest angle, in degrees relative to the incident direction, that a boat in the harbor would be protected from the wave action?

Q: Light of wavelength 500 nm is incident perpendicularly from air on a film 10-4 cm thick and of…

A: (a)Use the relation between wavelength and refractive index to calculate the number of wavelengths.…

Q: Light is sent through a single slit of width w = 0.68 mm. On a screen, which is L = 1.1 m from the…

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Q: Because the coating is expensive, you want to use a layer that has the minimum thickness possible,…

A: We have to apply the condition for destructive interference.

Q: Radio waves from a star, of wavelength 154 m, reach a radio telescope by two separate paths, as…

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Q: A film of oil on water will appear dark when it is very thin, because the path length difference…

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Q: Microwaves of wavelength 5.50 cm enter a long, narrow window in a building that is otherwise…

A: Given: Wavelength of microwave (λ) = 5.0 cm = 5×10-2 m. Width of window = width of slit = (d) = 38.0…

Q: A student installs a double-slit assembly 1.65 m from a white screen. The slits are separated by…

A: Given: Distance of screen D = 1.65 m separation between slits d =0.0570 mm = 0.0570*10-3 m

Q: ?glass=1.52, has a 119 nm thick antireflective film coating one side, ?film=1.35. White light,…

A: Givennglass=1.52Thickness, d=119 nm=119×10-9 mnfilm=1.35

Q: Radio waves from a star, of wavelength 320 m, reach a radio telescope by two separate paths, as…

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: Suppose that the two waves in the figure have wavelength 454 nm in air. What multiple of A gives…

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Q: Suppose the green plane wave (1, = 500.00 nm) in air (n = 1.00) falls at 10.00° on the surface of a…

A: Given: Wavelength of green,λ0=500nm=500×10-9mRefractive index of air,μa=1Refractive index of…

Q: When light hits a soap bubble (n = 1.33) that has a thickness of 193 nm, what is the wavelength of…

A: Condition for constructive interference in a thin film

Q: If you look at something 40 m from you, what is the smallest length (perpendicular to your line of…

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Q: What is the minimum thickness

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Q: person looks down at a puddle made of a thin film of gasoline (n = 1.427) floating on top of some…

A: Because of reflection and refraction, two light waves enter the eye when light shines on a thin film…

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 4.21-kHz tone is being produced by a speaker with a diameter of 0.242 m. The air temperature…

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Q: A 2000 Hz sound wave passes through a wall with two narrow openings 30 cm apart. If sound travels on…

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Q: Kerosene (n = 1.20) was spilled on the water in the ocean (n = 1.30) creating a large thin layer.…

A: a) Formula for constructive interference of light waves reflected by a thin film is given by, 2t =…

Q: A 4.23-kHz tone is being produced by a speaker with a diameter of 0.212 m. The air temperature…

A: The problem is asking for the change in the diffraction angle due to a change in temperature. The…

Q: A thin film of oil (n = 1.4) of thickness 1.38micrometers. is compressed between two glass slabs (n…

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Q: Figure 7a shows a lens with radius of curvature R lying on a flat glass plate and illuminated from…

A: Wavelength = A radius of curvature= R thickness =d(of air film between line and plate ) radii of the…

Q: Microwaves of wavelength 5.40 cm enter a long, narrow window in a building that is otherwise…

A: Solution:Given:m = order of minima = 1d = width of window = 38.0 cm = 38.0 x 10-2 mλ = wavelength of…

Q: A light of wavelength 589 nm passes from air to a diamond. The thickness of diamond is 4.2 x 10⁹ m.…

A: Given: The wavelength of light in the air is 589 nm. The thickness of the diamond is 4.2x10-9 m.

Q: Two yellow flowers are separated by 60 cm along a line perpendicular to your line of sight to the…

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Q: A blind is pulled down to cover a window but it has a pinhole in it that is allowing sun to enter…

A: Given Data: Distance between window and wall (L) = 2.70 m.Diameter (w) = 0.500 cm = 0.500×10-2…

Q: The wave will

A: When medium changes waves  gets partially reflected and partially transmitted.

Q: Diffraction occurs for all types of waves, including sound waves. High-frequency sound from a…

A: Given: The wavelength is 9.00 cm.             Width of the slit is 12.00 cm.             Distance of…

Q: A thin film of oil (n = 1.25) is located on smooth wet pavement, creating a system composed of the…

A: Given information: The refractive index of the oil ηoil=1.25 The refractive index of the water…

Q: A soap bubble (n =1.33) is floating in air. If the thickness of the bubble wall is 115 nm, what is…

A: Given :  n = 1.33 t = 115 nm = 115 × 10-9 m

Q: Figure 4 shows the reflection of two rays of radiation from consecutive planes with spacing d, where…

A: 2dsinθ=λor, d=λ2sinθor, d2=λ2sinθ2 λ=1.4 A∘=1.4×10-10 m

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

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Q: What is the angle of the first order maximum? (b) Find the slit separation when you replace the…

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Q: A student holds a laser that emits light of wavelength A. The laser beam passes through a pair of…

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Q: Red light having a wavelength of 690 nm (in air) is vertically incident on a thin film of oil that…

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Q: . The glass lens is coated with a thin film with a thickness of 340 nm and a refractive index of…

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Q: A CaO film index of refraction 1.45 has a region of uniform thickness of 640nm is coated on a camera…

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Q: When white light illuminates an oil film on water and the reflected light is viewed perpendicular to…

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Q: Two radio antennas radiating in phase are located at points A and B, 200 m apart . The radio waves…

A: We have the following diagram as- Express the relation for wavelength of the radio wave.…

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.