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What is the resultant sound level when an $82-$ d…

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Problem 80 Hard Difficulty

A single mosquito 5.0 $\mathrm{m}$ from a person makes a sound close to the threshold of human hearing $(0 \mathrm{dB}) .$ What will be the sound level of 100 such mosquitoes?


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Related Courses

Physics 101 Mechanics

Physics for Scientists and Engineers with Modern Physics

Chapter 16

Sound

Related Topics

Periodic Motion

Mechanical Waves

Sound and Hearing

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Top Physics 101 Mechanics Educators
Elyse Gonzalez

Cornell University

Andy Chen

University of Michigan - Ann Arbor

Marshall Styczinski

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Meghan Miholics

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Video Thumbnail

08:15

Sound and Light - Overview

In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can only hear sound waves as distinct pitches when the frequency lies between about 20 Hz and 20 kHz. Sound above 20 kHz is known as ultrasound and has different physical properties from sound below 20 kHz. Sound waves below 20 Hz are called infrasound. Different species have different hearing ranges. In terms of frequency, the range of ultrasound, infrasound and other upper limits is called the ultrasound.

Video Thumbnail

04:49

Traveling Waves - Intro

In physics, a traveling wave is a wave that propogates without a constant shape, but rather one that changes shape as it moves. In other words, its shape changes as a function of time.

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Video Transcript

says a single mosquito five meters from a person makes a sound close to the threshold of human hearing which is zero decibels. What will be the sound level of 100 such mosquitoes? So it wants us to find the sound level in vestibules of 100 such mosquitoes. If the sound level of a single zero Well, the definition of decibels is bait up, which would be the decibel is equal to 10 times the log of the ratio of I thean intensity of the sound guy Not okay. Well, the only way this could equal zero Well, since it's multiplied by 10 the only way could equal zero is just if the log of the ratio must be zero will only way The log of something can be zero is if it belong one a zero. So that means the ratio I tie knot must be zero. I know it is just a constant I know is equal to one times 10 to the minus 12. This is watts per meter squared. So I'm not too constant. So that must mean the intensity of the mosquito of just a single mosquito must be equal. I know, right? for that ratio to be one in order for that to be zero. So that means the intensity of one mosquito will say I'm one is equal to I Not now. We're asked, What's the intensity of 100 mosquitoes? Well, it's 100. I not so I have 100 huh? Equals 100 times. Why not? Right that 100 times. I know. Okay, So now if we want to help calculate the decibel level of that we do beta is equal to Ted Timesthe Log of 100 missy mosquitoes toe I not. So this would be 100 times. I not cause the log because 100 mosquitoes 100 times I know divided by I know. Okay, well, the Longs cancel. We'll do that in red. The eye not cancel. Do that, red. So we take the log of 100 multiply that by 10 and this is equal to 20 decibels. You can box that in Is your solution

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Related Topics

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Elyse Gonzalez

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Andy Chen

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Meghan Miholics

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Video Thumbnail

08:15

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In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can only hear sound waves as distinct pitches when the frequency lies between about 20 Hz and 20 kHz. Sound above 20 kHz is known as ultrasound and has different physical properties from sound below 20 kHz. Sound waves below 20 Hz are called infrasound. Different species have different hearing ranges. In terms of frequency, the range of ultrasound, infrasound and other upper limits is called the ultrasound.

Video Thumbnail

04:49

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In physics, a traveling wave is a wave that propogates without a constant shape, but rather one that changes shape as it moves. In other words, its shape changes as a function of time.

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