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Figure 31.12 (Section 31.2) shows a loudspeaker system. Low-frequency sounds are produced by the woofer, which is a speaker with a large diameter; the tweeter, a speaker with a smaller diameter, produces high-frequency sounds. Use diffraction ideas to explain why the tweeter is more effective for distributing high-frequency sounds uniformly over a room than is the woofer.

Short Answer

Expert verified

Small speakers do a better job of distributing high frequency uniformly over the space than large speakers because of their low aperture diameter.

Step by step solution

01

Define diffraction of sound

The phenomenon in which the traveling sound wave moves around the edge of an object when the size of the object is either smaller or equal to the wavelength of sound is known as diffraction. In this phenomenon, the intensity of sound gets redistributed in the region.

02

Apply the formula

The diffraction angle for a sound wave of wavelength and emitted from the sound source having aperture diameter a is given as-

蝉颈苍胃=a

From the above relation, it is clear that the source having a low aperture diameter will have a more angular distribution range.

The tweeter is more effective for distributing high-frequency sounds uniformly over a room than the woofer because it is of small diameter which makes the diffraction angle or distribution angle large and the distribution of sound uniform.

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