Two radio antennas separated by d = 272 m as shown in the figure below simultaneously broadcast identical signals at the same wavelength. A car travels due north along a straight line at position x = 1150 m from the center point between the antennas, and its radio receives the signals. Note: Do not use the small-angle approximation in this problem. Ⓡ (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance y = 400 m northward, what is the wavelength of the signals? m (b) How much farther must the car travel from this position to encounter the next minimum in reception? m

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Two radio antennas separated by d = 272 m as shown in the figure below simultaneously broadcast identical signals at the same wavelength. A car travels due north along a straight line at position x
= 1150 m from the center point between the antennas, and its radio receives the signals. Note: Do not use the small-angle approximation in this problem.
d
(a) If the car is at the position of the second maximum after that at point O when it has traveled a distance y = 400 m northward, what is the wavelength of the signals?
m
(b) How much farther must the car travel from this position to encounter the next minimum in reception?
m
Transcribed Image Text:Two radio antennas separated by d = 272 m as shown in the figure below simultaneously broadcast identical signals at the same wavelength. A car travels due north along a straight line at position x = 1150 m from the center point between the antennas, and its radio receives the signals. Note: Do not use the small-angle approximation in this problem. d (a) If the car is at the position of the second maximum after that at point O when it has traveled a distance y = 400 m northward, what is the wavelength of the signals? m (b) How much farther must the car travel from this position to encounter the next minimum in reception? m
(a) A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in the figure below.
(b)
m
What If? Wh
Closed door
m
Open door
=
The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 105 m from the wall with the open doors. Person A stands along a line passing through
the midpoint between the open doors, and person B stands a distance y 20 m to his side. A boat on the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound
is barely audible. The principal wavelength of the sound waves is 2.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to
center. (Give your answer in m.)
Open door
L
B
the minimum change in the wavelength of the sound wave for which person would also hear a max num at their location? (Give your answer in m.)
Transcribed Image Text:(a) A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in the figure below. (b) m What If? Wh Closed door m Open door = The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 105 m from the wall with the open doors. Person A stands along a line passing through the midpoint between the open doors, and person B stands a distance y 20 m to his side. A boat on the river sounds its horn. To person A, the sound is loud and clear. To person B, the sound is barely audible. The principal wavelength of the sound waves is 2.00 m. Assuming person B is at the position of the first minimum, determine the distance d between the doors, center to center. (Give your answer in m.) Open door L B the minimum change in the wavelength of the sound wave for which person would also hear a max num at their location? (Give your answer in m.)
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