Two loudspeakers are about 10 m apart in the front of a large classroom. if either speaker plays a pure tone at a single frequency of 400 hz, the loudness seems pretty even as you wander around the room, and gradually decreases in volume as you move farther from the speaker. if both speakers then play the same tone together, what do you hear as you wander around the room?

Respuesta :

The observed differences in amplitudes are due to interference between the sound waves. The decrease in amplitude is due to destructive interference of the waves and the increase in amplitude is due to constructive interference.

As the person moves around the room, he will find several point where the sound is maximum and several point where there is no sound. It is due to constructive and destructive interference of sound.

Explanation:

The two loudspeakers kept at a distance of [tex]10\text{ m}[/tex] from one another produce the sound. If the person moving in the room listens to the sound of only one loudspeaker at a time, the intensity of the sound will be higher when he is near the loudspeaker and it will decrease as the person will move away from it.

If both the loudspeakers are switched on, the sound waves from both the loudspeakers can be heard in the room. As the sound waves travel throughout the room, they interfere with one another.

The interference of the sound waves causes the constructive interference and destructive interference in the room. Due to this, there are points of constructive interference where the intensity of the sound is highest due to both speakers.

Whereas at the point of destructive interference, the intensity of the sound is minimum.

Thus, As the person moves around the room, he will find several point where the sound is maximum and several point where there is no sound. It is due to constructive and destructive interference of sound.

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Answer Details:

Grade: High School

Subject: Physics

Chapter: Sound

Keywords:

Two loudspeakers, large classroom, loudness, intensity, constructive, destructive, interference, wander around, move farther.