(a) A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in the figure below. LOKA Closed door m Open door Open door The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 100 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 4.30 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.)
(a) A riverside warehouse has several small doors facing the river. Two of these doors are open as shown in the figure below. LOKA Closed door m Open door Open door The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance L = 100 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 4.30 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.)
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![**(a)** A riverside warehouse has several small doors facing the river. Two of these doors are open, as shown in the figure below.
*Diagram Description:*
The diagram shows a warehouse wall with three doors: one closed door and two open doors along a wall facing a river. Sound waves from a boat reach the open doors. Person A stands at the midpoint between the open doors, and Person B stands a distance \( y \) = 20 m to his side.
The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance \( L \) = 100 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 4.30 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.)
\[ \boxed{10} \, \text{m} \]
**(b)** *What If?* What is the minimum change in the wavelength of the sound wave for which person B would also hear a maximum at their location? (Give your answer in m.)
\[ \boxed{2.15} \, \text{m} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f1b7c10-7ca4-413c-bb43-fe1a15020101%2F3c61e415-60cf-47f6-91ae-c84700c5c871%2F7at513q_processed.png&w=3840&q=75)
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.
*Diagram Description:*
The diagram shows a warehouse wall with three doors: one closed door and two open doors along a wall facing a river. Sound waves from a boat reach the open doors. Person A stands at the midpoint between the open doors, and Person B stands a distance \( y \) = 20 m to his side.
The walls of the warehouse are lined with sound-absorbing material. Two people stand at a distance \( L \) = 100 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 4.30 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.)
\[ \boxed{10} \, \text{m} \]
**(b)** *What If?* What is the minimum change in the wavelength of the sound wave for which person B would also hear a maximum at their location? (Give your answer in m.)
\[ \boxed{2.15} \, \text{m} \]
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