A typical decibel level for a buzzing mosquito is 40 dB, and normal conversation is approximatel

Name: Problem 52, Chapter 13: Holt Physics
Uploaded: 2020-10-26T15:02:37-08:00
Duration: 1 min 7 s
Channel: Manish Kumar
Description: A typical decibel level for a buzzing mosquito is 40 dB, and normal conversation is approximately 50 dB How many buzzing mosquitoes will produce a sound intensity equal to that of normal conversation?

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Question

A typical decibel level for a buzzing mosquito is $40 \mathrm{dB}$, and normal conversation is approximately $50 \mathrm{dB}$ How many buzzing mosquitoes will produce a sound intensity equal to that of normal conversation?

   A typical decibel level for a buzzing mosquito is $40 \mathrm{dB}$, and normal conversation is approximately $50 \mathrm{dB}$ How many buzzing mosquitoes will produce a sound intensity equal to that of normal conversation?

Holt Physics

Raymond A. Serway,… 1st Edition

Chapter 13, Problem 52

Instant Answer

Solved by Expert Manish Kumar

10/26/2020

Step 1

Step 1: The intensity of sound is measured in decibels (dB) and is given by the formula $I = 10^{L/10}$, where $L$ is the sound level in decibels. Show more…

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A typical decibel level for a buzzing mosquito is $40 \mathrm{dB}$, and normal conversation is approximately $50 \mathrm{dB}$ How many buzzing mosquitoes will produce a sound intensity equal to that of normal conversation?

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Key Concepts

Logarithmic Relationships in Acoustics

Understanding the logarithmic relationships in acoustics is key for converting between sound intensity ratios and decibel differences. This concept underlies calculations where multiple sound sources are combined, such as determining how many sources at a lower decibel level are needed to match the intensity of a higher decibel sound.

Decibel Scale

The decibel scale is a logarithmic measure used to express the ratio of a sound's intensity to a reference intensity. Because of its logarithmic nature, a difference of 10 dB corresponds to a tenfold change in intensity, which is crucial for comparing different sound levels.

Sound Intensity

Sound intensity refers to the amount of energy passing through a unit area per unit time. It is directly related to the perceived loudness of sound, and when multiple independent sources produce sound, their intensities add together, rather than their decibel levels.

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