Radio waves from a transmitter can be received after traversing a direct path a or an indirect path b involving a ground reflection. This often leads to destructive interference and fading signals in urban area. As shown in the diagram, a transmitter at 88.5 MHz and receiver are located on the rooftop of two separate buildings each 60 meters high, with bare ground between them. What is the maximum separation of buildings that will lead to destructive interference at the receiver? Ignore the reflection  phase shift of path b. (1 MHz = 106 Hz)

Q: Radio waves from a star, of wavelength 2.50 3 102 m, reach a radio telescope by two separate paths,…

A: The path of the radio waves is,

Q: In a location where the speed of sound is 353 m/s, a 2,000 Hz sound wave impinges on two slits 30 cm…

A:

Q: How can I calculate the phase difference, in radians, between the rays from the two slits as they…

A:

Q: The rhinestones in costume jewelry are glass with index of refraction 1.50. To make them more…

A: The refractive index of the coating material is greater than the refractive index of the base…

Q: A disabled tanker leaks kerosene (n = 1.20) into the Persian Gulf, creating a large slick on top of…

A: The refractive index of oil is greater than the air, but smaller than that of water.

Q: Coherent light with wavelength 670 nm passes through two narrow slits and the interference pattern…

A: Given that wavelength λ = 670 nm Screen distance D = 40 cm Distance between m = 1 to m= -1 bright…

Q: A light source simultaneously emits light of two wavelengths, 460 nm and 654 nm, respectively. The…

A:

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

A:

Q: Two beams of coherent light travel different paths arriving at point P. If the maximum constructive…

A: Introduction: The coherent waves are that type of wave which have frequency and amplitude same, and…

Q: The wall of a large room is covered with acoustic tile in which small holes are drilled 5.0 mm from…

A: The wavelength of the room light,

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

A:

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

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: Why is the following situation impossible? Two narrow slits are separated by 8.00 mm in a piece of…

A: The slit width a=8 mm=8×10-3 m The wavelength of the microwave λ=1 cm =1×10-2 m For the first bright…

Q: At what angle is the first-order maximum for 465 nm wavelength blue light falling on double slits…

A:

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

A:

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: When monochromatic light shines perpendicularly on a soap film (n = 1.33) with air on each side, the…

A:

Q: A 600-nm-thick soap film (n= 1.40) in air is illuminated with white light in a direction…

A:

Q: A thin film of oil (n = 1.44) of thickness 436 nm with air on both sides is illuminated with white…

A: Given data The refractive index of oil is given as n = 1.44, The thickness of the film is given as…

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

A:

Q: Light with a wavelength of λ = 655 nm is incident on a single slit of width w = 4.75 micrometers. A…

A:

Q: A disabled tanker leaks kerosene (n = 1.20) into the Persian Gulf, creating a large slick on top of…

A:

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: Consider two identical antennas separated by 9.00 m that radiate in phase at 120 MHz. A receiver…

A: Given: Separation between antennas =9 m Initial distance to receiver from  antennas =150 m When…

Q: Figure P24.69 shows d- radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d…

A: (a) The longest wavelength that interfere constructively is

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: assume that two waves of light in air, of wavelength 400 nm, are initially in phase. One travels…

A: Here, the first phase of the first wave is         And the phase of the second wave is The phase…

Q: As shown in the figure below, two transparent polycarbonate plates, each 19.0 cm long, touch each…

A: given: length l =19 cm = 0.19 m d = 0.058 mm =0.058*10-3 m

Q: A disabled tanker leaks kerosene (n = 1.20) into the Persian Gulf, creating a large slick on top of…

A: Given that,  Refractive index of Kerosene, n = 1.2 Refractive index of water, n' = 1.3  Given…

Q: Light of wavelength 630 nm is incident on a long, narrow slit. a)Determine the angular deflection of…

A: a) The expression for the angular deflection of a dark band is,

Q: a) An interference pattern is observed when two or more waves of light overlap at given point…

A: (a) true  Two necessary condition for stable and clear interference pattern are coherent and…

Q: light with wavelength λ = 565 nm falls on a pair of closely separated slits. The first dark fringe…

A:

Q: There is a thin film of soap bubble of thickness d on air with a refractive index of n. When an…

A: Given,thickness of light bulb, drefractive index, nrefractive index of the soap bulb, n = 1.35λ1 =…

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

A:

Q: When coherent electromagnetic waves with wavelength λ=120μm are incident on a single slit of width…

A: Given The wavelength of the electromagnetic waves is  λ =120 μm = 120 x 10-6 m. The distance between…

Q: A double-slit experiment has a slit separation distance of 0.08 mm.  If the bright interference…

A: The expression for the bright interference fringes,   The expression for the distance to the screen…

Q: In a single slit diffraction experiment, the width of the slit is 3.1 x 10-5 m and the distance from…

A:

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

A:

Q: You are standing in air and are looking at a flat piece of glass (n = 1.52) on which there is a…

A:

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.