In conventional television, signals are broadcast from towers to home receivers. Even when a receiver is not in direct view of a tower because of a hill or building, it can still intercept a signal if the signal diffracts enough around the obstacle, into the obstacle’s “shadow region.” Previously, television signals had a wavelength of about 50 cm, but digital television signals that are transmitted from towers have a wavelength of about 10 mm. (a) Did this change in wavelength increase or decrease the diffraction of the signals into the shadow regions of obstacles? Assume that a signal passes through an opening of 5.0 m width between two adjacent buildings.What is the angular spread of the central diffraction maximum (out to the first minima) for wavelengths of (b) 50 cm and (c) 10 mm?
In conventional television, signals are broadcast from towers
to home receivers. Even when a receiver is not in direct view of a
tower because of a hill or building, it can still intercept a signal if
the signal diffracts enough around the obstacle, into the obstacle’s
“shadow region.” Previously, television signals had a wavelength of
about 50 cm, but digital television signals that are transmitted
from towers have a wavelength of about 10 mm. (a) Did this
change in wavelength increase or decrease the diffraction of the
signals into the shadow regions of obstacles? Assume that a
signal passes through an opening of 5.0 m width between two
adjacent buildings.What is the angular spread of the central diffraction
maximum (out to the first minima) for wavelengths of
(b) 50 cm and (c) 10 mm?
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