The ship in the figure below travels along a straight line parallel to the shore and a distance d = 560 m from it. The ship's radio receives simultaneous signals of thesame frequency from antennas A and B, separated by a distance L = 840 m apart. The signals interfere constructively at point C, which is equidistant from A and B.The signal goes through the first minimum at point D, which is directly outward from the shore from point B. Determine the wavelength of the radio waves.

Given data The distance of the ship from the shore is d = 560 m. The distance between A and B is…

Answered: The ship in the figure below travels…

University Physics Volume 2

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Chapter16: Electromagnetic Waves

Section: Chapter Questions

Problem 92AP: Show that the wave equation in one dimension 2fx2=1v22ft2 Is satisfied by any doubly differentiable...

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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.
Radio station WWVB, operated by the National Institute of Standards and Technology (NIST) from Fort Collins, Colorado, at a low frequency of 60 kHz, broadcasts a time synchronization signal whose range covers the entire continental US. The timing of the synchronization signal is controlled by a set of atomic clocks to an accuracy of 101012 s, and repeats every 1 minute. The signal is used for devices, such as radio-controlled watches, that automatically synchronize with it at preset local times. WWVB's long wavelength signal tends to propagate close to the ground. (a) Calculate the wavelength of the radio waves from WWVB. (b) Estimate the error that the travel time of the signal causes in synchronizing a radio controlled watch in Norfolk, Virginia, which is 1570 mi (2527 km) from Fort Collins, Colorado.
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