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At 1.05 m form a sound source the intensity is measured to be 7.10 x 10^-3 W/m?. Find the decibel intensity level at a distance of 24.0 m from the same source.

At 1.05 m form a sound source the intensity is measured to be 7.10 x 10^-3 W/m?. Find the decibel intensity level at a distance of 24.0 m from the same source.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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At 1.05 m form a sound source the intensity is measured to be 7.10 x 10^-3 W/m?. Find the decibel intensity level at a distance of 24.0 m from the same source.
Transcribed Image Text:At 1.05 m form a sound source the intensity is measured to be 7.10 x 10^-3 W/m?. Find the decibel intensity level at a distance of 24.0 m from the same source.
Expert Solution
Introduction

The intensity of sound is defined as the power of sound per unit area.

Intensity = PowerArea

7.1 x 10-3 = Power4πr2

r=1.05m

Power = 0.09836 W 

 

Intensity at 24 m =  PowerArea

Intensity = 0.098364π(24)2 = 1.36 x10-5 W/m2

 

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