Radio waves of wavelength 102 m from a galaxy reach a radio telescope by two separate paths as shown in the figure below. One is a direct path to the receiver, which is situated on the edge of a tall cliff by the ocean, and the second is by reflection off the water. As the galaxy rises in the east over the water, the first minimum of destructive interference occurs when the galaxy is e = 28.5° above the horizon. Find the height of the radio telescope dish above the water. 167 Your response differs from the correct answer by more than 10%. Double check your calculations. m Direct Radio path telescope Reflected path

Radio waves of wavelength 102 m from a galaxy reach a radio telescope by two separate paths as shown in the figure below. One is a direct path to the receiver, which is situated on the edge of a tall cliff by the ocean, and the second is by reflection off the water. As the galaxy rises in the east over the water, the first minimum of destructive interference occurs when the galaxy is e = 28.5° above the horizon. Find the height of the radio telescope dish above the water. 167 Your response differs from the correct answer by more than 10%. Double check your calculations. m Direct Radio path telescope Reflected path

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: 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: 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: What is the separation between two slits for which 530-nm green light has its first maximum at an…

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

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: In the two-slit experiment, monochromatic light of wavelength 600 nm passes through a pair of slits…

Q: ent oil with index of refraction 1.28 spills on the surface of water (index of refraction 1.33),…

A: Given values:- Refractive index of transparent oil,(n)=1.28 -----(1) Refractive index of…

Q: Figure (a) shows a lens with radius of curvature R = 280 mm lying on a flat glass plate and…

A: 0.498 mm or nearly 0.5 mm

Q: Oul answer is partially correct. Monochromatic light of wavelength 515 nm is incident on a narrow…

A: Given Data : The wavelength of the light is given as λ=515nm The distance of the screen from the…

Q: A monochromatic light passes through two slits and produces an interference pattern on a screen…

Q: 6) Light from a 620 nm wavelength laser passes through a diffraction grating with 4000 lines/cm in…

A: a. Given: N=4000 lines/cm=4,00,000 lines/mβ=90°wavelength=λ=620nm=620×10-9m

Q: A technician places a fluid substance, with a refractive index of 1.71, between two horizontal panes…

A: Given data as per question refractive index = 1.71 wavelength = 300nm

Q: A plano-convex lens rests with its curved side on a flat glass surface and is illuminated from above…

A: Wavelength of light, λ = 464 nm = 464 ×10-9 m Dark spot observed at the center with 19 concentric…

Q: The light from a krypton laser has a wavelength of 647.1 nm in air. As the light travels from air…

Q: What is the effect of increasing the number of lines ruled o diffraction grating? Select one: a.…

A: Diffraction gratings are determined by the number of lines per centimeter. The gratings with maximum…

Q: A glass sheet 1.10 μm thick is suspended in air. In reflected light, there are gaps in the visible…

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

Q: A He-Ne (Helium-Neon) laser outputs light at a wavelength of 632.8 nm which illuminates a single…

Q: In the single-slit diffraction experiment of the figure, let the wavelength of the light be 541 nm,…

A: (a)The angle between the P1 and P0 is,Substitute the values,

Q: To keep unwanted light from reflecting from the surface of eyeglasses or other lenses, a thin film…

A: The wavelength of the film can be obtained as

Q: Two slits spaced 0.250 mm apart are 0.930 m from a screen and illuminated by coherent light of…

A: given Two slits spaced 0.250 mm apart are 0.930 m from a screen and illuminated by coherent light…

Q: Two slits are separated by a distance of 3,000 nm. If light with a wavelength of 500 nm passes…

Q: A distant point source of light (like a star) emits light of wavelength 575 nm. When this light…

A: r=Radius of diffraction pattern=0.0112 mmλ=Wavelength=575 nmf=Focal length of lens=135 mmd=Diameter…

Q: eflective coating from a material with index of refraction 1.73 to put on top of glass with an index…

A: GivenA material with index of refraction, n1=1.73Glass with an index of refraction, n2=1.4Wavelength…

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: A slit has a width of W1 = 2.6 × 10-6 m. When light with a wavelength of λ1 = 535 nm passes through…

A: Slit width, W1 = 2.6 × 10-6 m Wavelength, λ1 = 535 nm Slit widht, W2 = ? Wavelength, λ2 = 587 nm

Q: In a location where the speed of sound is 354 m/s, a 2.00 kHz sound wave impinges on two slits 30.0…

A: (a) Write the condition for constructive interference

Q: The lens of a camera has a thin film coating designed to enhance the ability of the lens to absorb…

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

Q: The lens of a camera has a thin film coating designed to enhance the ability of the lens to absorb…

Q: Interference effects are produced at point P on a screen as a result of direct rays from a 500-nm…

Q: The figure shows the interference pattern that appears on a distant screen when coherent light is…

A: The point P is at central maxima. Therefore, the path length “delta s” at point P will be zero.

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

Q: In the figure, assume two waves of light in air, of wavelength 407 nm, are initially in phase. One…

Q: Fig. 1 shows two light rays of wavelength 610 nm traveling from air through twodifferent media with…

Q: In a Young's double-slit experiment, the separation y between the second order bright fringe and the…

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

Radio waves of wavelength 102 m from a galaxy reach a radio telescope by two separate paths as shown in the figure below. One is a direct path to the receiver, which is situated on the edge of a tall cliff by the ocean, and the second is by reflection off the water. As the
galaxy rises in the east over the water, the first minimum of destructive interference occurs when the galaxy is e = 28.5° above the horizon. Find the height of the radio telescope dish above the water.
167
Your response differs from the correct answer by more than 10%. Double check your calculations. m
Direct
Radio
path
telescope
Reflected
path
Additional Materials
O eBook

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

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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

To save money on making military aircraft invisible to radar, an inventor decides to coat them with a nonreflective material having an index of refraction of 1.20, which is between that of air and the surface of the plane. This, he reasons, should be much cheaper than designing Stealth bombers. (a) What thickness should the coating be to inhibit the reflection of 4.00-cm wavelength radar? (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?
Both sides of a uniform film that has index of refraction n and thickness d are in contact with air. For normal incidence of light, an intensity minimum is observed in the reflected light at λ2 and an intensity maximum is observed at λ1, where λ1 > λ2. (a) Assuming no intensity minima are observed between λ1 and λ2, find an expression for the integer m in Equations 27.13 and 27.14 in terms of the wavelengths λ1 and λ2. (b) Assuming n = 1.40, λ1 = 500 nm, and λ2 = 370 nm, determine the best estimate for the thickness of the film.
A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 rad
Diffraction occurs for all types of waves, including sound waves. High-frequency sound from a distant source with wavelength 9.00 cm passes through a slit 12.0 cm wide. A microphone is placed 8.00 m directly in front of the center of the slit, corresponding to point O in Fig. The microphone is then moved in a direction perpendicular to the line from the center of the slit to point O. At what distances from O will the intensity detected by the microphone be zero?
You are operating a new radio telescope that has been installed on a tall cliff facing the ocean. You begin the testing of the telescope by facing the antenna toward the ocean, setting its receiving wavelength to 125 m, and sweeping its direction slowly from horizontal to straight up in the sky.Each sweep takes about an hour. When you review the data, you notice that the antenna received no signals when aimed at a certain angle above the horizontal. You continue to take data beginning at the same time each night and discover that the angle at which no signals are detected varies from night to night. Over a full month, the angle at which no signals are detected varies from 24.5° to 25.7°. You finally figure out that the loss of signal is due to destructive interference caused by the reflection of radio waves from the ocean surface, and the monthly variation is due to the changes caused by ocean tides. You inform the local oceanographic institute that you have a novel method of measuring…
Two antennas located at points A and B are broadcasting radio waves of frequency 96.0 MHz, perfectly in phase with each other. The two antennas are separated by a distance d= 6.20 m. An observer, P, is located on the x axis, a distance x= 84.0 m from antenna A, so that APB forms a right triangle with PB as hypotenuse. What is the phase difference between the waves arriving at P from antennas A and B? A P X B 4.594x10-¹ rad Computer's answer now shown above. You are correct. Your receipt no. is 158-6031 > Previous Tries Now observer P walks along the x axis toward antenna A. What is P's distance from A when he first observes fully destructive interference between the two waves? 1.203 m As P gets closer A, the path length difference gets larger. What's the smallest path length difference that gives destructive interference? Submit Answer Tries 0/6 Submit Answer Incorrect. Tries 1/6 Previous Tries If observer P continues walking until he reaches antenna A, at how many places along the x…
Monochromatic electromagnetic radiation with wavelength l from a distant source passes through a slit. The diffraction pattern is observed on a screen 2.50 m from the slit. If the width of the central maximum is 6.00 µm, what is the slit width a if the wavelength is (a) 500 nm (visible light); (b) 50.0 µm (infrared radiation); (c) 0.500 nm (x rays)?
A thin sheet of transparent material has an index of refraction of 1.40 and is 15.0 µm thick. When it is inserted in the light path along one arm of an interferometer, how many fringe shifts occur in the pattern? Assume the wavelength (in a vac- uum) of the light used is 600 nm. Hint: The wavelength will change within the material.
Short-wave radio antennas A and B are connected to the same transmitter and emit coherent waves in phase and with the same frequency f. You must determine the value of f and the placement of the antennas that produce a maximum intensity through constructive interference at a receiving antenna that is located at point P, which is at the corner of your garage. First you place antenna A at a point 240.0 m due east of P. Next you place antenna B on the line that connects A and P, a distance x due east of P, where x < 240.0 m. Then you measure that a maximum in the total intensity from the two antennas occurs when x = 210.0 m, 216.0 m, and 222.0 m. You don’t investigate smaller or larger values of x. (Treat the antennas as point sources.) (a) What is the frequency f of the waves that are emitted by the antennas? (b) What is the greatest value of x, with x < 240.0 m, for which the interference at P is destructive?
When coherent electromagnetic waves with wavelength λ = 120 µm are incident on a single slit of width a, the width of the central maximum on a tall screen 1.50 m from the slit is 90.0 cm. For the same slit and screen, for what wavelength of the incident waves is the width of the central maximum 180.0 cm, double the value when λ = 120 µm?
Antenna B is 40.0 m to the right of antenna A. The two antennas emit electromagnetic waves that are in phase and have wavelength 7.00 m. (a) At how many points along the line connecting A and B is the interference constructive? (b) What is the smallest distance to the right of antenna A for which is there a point of constructive interference?
The radar system of a navy cruiser transmits at a wavelength of 1.6 cm, from a circular antenna with a diameter of 2.3 m. At a range of 6.2 km, what is the smallest distance that two speedboats can be from each other and still be resolved as two separate objects by the radar system?