A riverside warehouse has two open doors, as in the figure below. Its interior is lined with a sound-absorbing material. 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 2.70 m. Assuming person B is at the position of the first minimum, determine the distance (in m) between the doors, center to center.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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A riverside warehouse has two open doors, as shown in the figure below. Its interior is lined with a sound-absorbing material. 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 2.70 m. Assuming person B is at the position of the first minimum, determine the distance (in m) between the doors, center to center.

**Diagram Explanation:**

The diagram shows a top view of the riverside setup. On the left side, there is a boat on the river emitting sound waves. These waves are indicated by several curved lines emanating from the boat.

To the right of the boat, there is a rectangular outline representing the warehouse. It has two open doors through which sound can pass. Inside the warehouse, two paths of sound are shown with dashed lines:

1. One path leads from the open door, straight to person A.
2. The second path, marked with a longer dashed line, leads to person B.

**Distance Details:**

- The distance between the two open doors is indicated as 150 m.
- Person B is positioned 20.0 m beyond person A, along the warehouse front.

A label indicating a blank measurement box is present below the diagram, intended for the calculation result.
Transcribed Image Text:A riverside warehouse has two open doors, as shown in the figure below. Its interior is lined with a sound-absorbing material. 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 2.70 m. Assuming person B is at the position of the first minimum, determine the distance (in m) between the doors, center to center. **Diagram Explanation:** The diagram shows a top view of the riverside setup. On the left side, there is a boat on the river emitting sound waves. These waves are indicated by several curved lines emanating from the boat. To the right of the boat, there is a rectangular outline representing the warehouse. It has two open doors through which sound can pass. Inside the warehouse, two paths of sound are shown with dashed lines: 1. One path leads from the open door, straight to person A. 2. The second path, marked with a longer dashed line, leads to person B. **Distance Details:** - The distance between the two open doors is indicated as 150 m. - Person B is positioned 20.0 m beyond person A, along the warehouse front. A label indicating a blank measurement box is present below the diagram, intended for the calculation result.
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