Question

What is the sound intensity level B, in deabels, of a sound wave whose intensity is 10 times the relerence intensity e I Express the sound intensity namerically to the nearest integer 101)? Review 1 Constants1 Periodic Tabla View Available Hints) Learning Goal: To understand the decbel scale The decbel scale is a logaithmic scalo for measuring the sound intonsity level Because the decibel scale is ogarithmic, it changes by an additive constant when the intensity as measurod in W/m changes by a multiplicative factor The number of decibels increases by 10 for a factor of 10 increase in intensity The general ormala for the sound intensity level, in decibels, corresponding to ietensity Is dB Submit β-101cm(h)dB where ls is a reterence idensly For sound waves fo b takan to be 10 " W/u" Noto thut kg rfers to he ogaithm to the base 10 PartB What is the sound intenity level in decibels of a sound wave whose intensity is 100 tnas the reference tny e I-10? Express the sound intensity numerically to the nearest integer View Availables dB

Answer 1

Part A:

$\beta = 10 \log\left(\frac{I}{I_0} \right )dB=10 \log\left(\frac{10 I_0}{I_0} \right )dB=10\log 10 dB=10dB$

Part B:

$\beta = 10 \log\left(\frac{I}{I_0} \right )dB=10 \log\left(\frac{100 I_0}{I_0} \right )dB=10\log 100 dB=10 \log 10^2dB =2\times 10 dB=20dB$