Concept explainers
DATA 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?
Want to see the full answer?
Check out a sample textbook solutionChapter 35 Solutions
University Physics with Modern Physics, Books a la Carte Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Additional Science Textbook Solutions
Introduction to Electrodynamics
Conceptual Physics (12th Edition)
Physics (5th Edition)
Sears And Zemansky's University Physics With Modern Physics
College Physics (10th Edition)
Essential University Physics (3rd Edition)
- Figure P36.35 shows a radio-wave transmitter and a receiver separated by a distance d = 50.0 m and both a distance h = 35.0 m above the ground. The receiver can receive signals both directly from the transmitter and indirectly from signals that reflect from the ground. Assume the ground is level between the transmitter and receiver and a 180 phase shift occurs upon reflection. Determine the longest wavelengths that interfere (a) constructively and (b) destructively. Figure P36.35 Problems 35 and 36.arrow_forwardThe GPS (Global Positioning System) satellites are approximately 5.18 m across and transmit two low-power signals, one of which is at 1575.42 MHz (in the UHF band). In a series of laboratory tests on the satellite, you put two 1575.42 MHz UHF transmitters at opposite ends of the satellite. These broadcast in phase uniformly in all directions. You measure the intensity at points on a circle that is several hundred meters in radius and centered on the satellite. You measure angles on this circle relative to a point that lies along the centerline of the satellite (that is, the perpendicular bisector of a line which extends from one transmitter to the other). At this point on the circle, the measured intensity is 2.00 W/m². At how many other angles in the range 0° < 0 < 90° is the intensity also 2.00 W/m²? Express your answer as an integer. N = Submit Part B 0 = Submit 2 Find the four smallest (positive) angles in the range 0° < 0 < 90° for which the intensity is 2.00 W/m². Express your…arrow_forwardThe GPS (Global Positioning System) satellites are approximately 5.18 m across and transmit two low-power signals, one of which is at 1575.42 MHz (in the UHF band). In a series of laboratory tests on the satellite, you put two 1575.42 MHz UHF transmitters at opposite ends of the satellite. These broadcast in phase uniformly in all directions. You measure the intensity at points on a circle that is several hundred meters in radius and centered on the satellite. You measure angles on this circle relative to a point that lies along the centerline of the satellite (that is, the perpendicular bisector of a line that extends from one transmitter to the other). At this point on the circle, the measured intensity is 2.00 W/m2 . (a) At how many other angles in the range 0° < θ < 90° is the intensity also 2.00 W/m2 ? (b) Find the four smallest angles in the range 0° < θ < 90° for which the intensity is 2.00 W/m2 . (c) What is the intensity at a point on the circle at an angle of…arrow_forward
- Antenna B is 62.0 m to the right of antenna A. The two antennas emit electromagnetic waves that are in phase and have wavelength 7.00 m. Both antennas have the same polarization. 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?arrow_forwardInterference is observed between two electromagnetic waves with intensities I1, I2. There is a small tilt angle between the waves so that bright and dark interference fringes are observed across the detector. It is observed that at the bright fringes (constructive interference) the intensity is 450Wm^-2 and at the dark fringes (destructive interference) the intensity is 50 Wm^-2. Solve for I1 and I2. The larger of I1 and I2 is: and The smaller of I1 and I2 is:arrow_forwardIn phase two sources broadcast electromagnetic waves of 2.40 cm wavelength. Point P on the curtain is 4.82 m from the first source and 5.34 m from the second source. What is the phase difference of the two waves emitted from these sources?arrow_forward
- You are working with an electrical engineer who wants to send you messages with his microwave antenna. The engineer points his antenna at a narrow window (width 36.0 cm) of your building and starts sending microwaves (wavelength 5.40 cm) your way. What is the location of the first "dark" fringe on the wall 6.70 m from the window? cm Additional Materials O Readingarrow_forwardA circular radar antenna on a Coast Guard ship has a diameter of 2.10 m and radiates at a frequency of 14.0 GHz. Two small boats are located 8.00 km away from the ship. How close together could the boats be and still be detected as two objects? Need Help? Watch It Read Itarrow_forwardTwo identical sources A and B emit in-phase plane radio waves with frequency 7.84E4 Hz and intensity 1.78E2 W/m2. A detector placed at location P closer to source B than source A detects a destructive interference. What is the intensity of the wave detected by the detector (in W/m2)?arrow_forward
- Consider the figure below that shows unpolarized light with intensity I0 = 8.75 W/m2 passing through three ideal polarizing filters A, B, and C. The polarizing axes are set to:A: vertical (along the positive y-axis).B: θ1 = 38.0° clockwise with respect to the positive y-axis.C: θ2 = 34.5° counterclockwise with respect to the negative y-axis.Calculate the intensity of the light (in W/m2) after it has passed through polarizer C.arrow_forwardtwo sources in equal phase emit electromagnetic waves of 240 cm wavelength. P point of the curtain is 4.82 m from first source and 5.34 m from second source. What is the phase difference between two waves which are emitting from these sources?arrow_forwardQuestion 2: Waves Two sources of electromagnetic waves (light waves) are emitting coherent waves at a frequency of the top source is located a distance l₁ = 3.0m away from point A. Use the speed of light in a vacuum (a) Find the minimum distance d, that is greater than 0 m, that will give constructive interreference. c=3*108 m/s. (b) Find the minimum distance that will give destructive interference. 1₁ = 3.00m Laser Laser mirror d Aarrow_forward
- College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegePhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning