Two radio-wave sources, which you may consider be point-like, are sitting a distance L = 10.0 m apart on the ground, as in the image (top down view). Source 2 is on the end of a sidewalk that is perpendicular to an imaginary line connecting the two sources. By turning a knob, the controller can turn on source 1, source 2, or both sources together. The sources always emit one single frequency. When both sources are turned on together, the waves they produce are in phase. The speed of radio waves is c, the speed of light. Source I Side welk Source 2 A. Sources 1 and 2 are turned on, and emit radio waves of frequency f = 100 MHz. Suppose you want to place your radio on the sidewalk. How far from source 2 should you position your radio so as to get the "cleanest" reception (meaning the largest intensity)? You cannot just place the radio right next to source 2. B. Now a radio-wave detector is placed midway between the two sources. When source 2 alone is turned on, the intensity of waves at the detector is measured to be Io. If both sources are turned on at once, what will be the intensity at that detector? Express your answer in terms of In.

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Chapter1: Units, Trigonometry. And Vectors
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Problem 5
Two radio-wave sources, which you may consider to be point-like,
are sitting a distance L = 10.0 m apart on the ground, as in the
image (top down view). Source 2 is on the end of a sidewalk that
is perpendicular to an imaginary line connecting the two sources.
By turning a knob, the controller can turn on source 1, source 2, or
both sources together. The sources always emit one single
frequency. When both sources are turned on together, the waves
they produce are in phase. The speed of radio waves is c, the speed of light.
●………………...
Source I
L
Side wolk I
>0
Source 2
A. Sources 1 and 2 are turned on, and emit radio waves of frequency f = 100 MHz. Suppose you want to
place your radio on the sidewalk. How far from source 2 should you position your radio so as to get the
"cleanest" reception (meaning the largest intensity)? You cannot just place the radio right next to source
2.
B. Now a radio-wave detector is placed midway between the two sources. When source 2 alone is turned
on, the intensity of waves at the detector is measured to be Io. If both sources are turned on at once,
what will be the intensity at that detector? Express your answer in terms of Io.
Transcribed Image Text:Problem 5 Two radio-wave sources, which you may consider to be point-like, are sitting a distance L = 10.0 m apart on the ground, as in the image (top down view). Source 2 is on the end of a sidewalk that is perpendicular to an imaginary line connecting the two sources. By turning a knob, the controller can turn on source 1, source 2, or both sources together. The sources always emit one single frequency. When both sources are turned on together, the waves they produce are in phase. The speed of radio waves is c, the speed of light. ●………………... Source I L Side wolk I >0 Source 2 A. Sources 1 and 2 are turned on, and emit radio waves of frequency f = 100 MHz. Suppose you want to place your radio on the sidewalk. How far from source 2 should you position your radio so as to get the "cleanest" reception (meaning the largest intensity)? You cannot just place the radio right next to source 2. B. Now a radio-wave detector is placed midway between the two sources. When source 2 alone is turned on, the intensity of waves at the detector is measured to be Io. If both sources are turned on at once, what will be the intensity at that detector? Express your answer in terms of Io.
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