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Question about Waves: Sound Intensity

Physics

Originais Teachy

Waves: Sound Intensity

Very Hard

(Originais Teachy 2023) - Question Very Hard of Physics

Sound intensity at a point in space is defined as the sound power that crosses a surface surrounding that point, divided by the area of that surface. Consider a speaker emitting spherical sound waves with a constant power of 10W. A person is located 4 meters away from the speaker and perceives a sound intensity level of 1x10^-4 W/m^2. If the person moves away from the speaker, staying in a straight line with it, so that the new distance is twice the initial distance, determine: 1) The new sound intensity perceived by the person. 2) The corresponding sound intensity level in dB to this new sound intensity. Use base 10 logarithms for power conversion and remember that the sound intensity level (SIL) in decibels (dB) is given by SIL(dB) = 10 * log10(I/I0), where I is the sound intensity in W/m^2 and I0 is the reference intensity, which is generally considered as 1x10^-12 W/m^2 for the human hearing threshold.

Answer sheet:

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