Question

Find the difference in loudness between an average office with an intensity of 1.1000 x 10^(-7) watt per square meter and a broadcast studio with an intensity of 4.2100 x 10^(-5) watt per square meter.

Answer 1

To find the difference in loudness between an average office and a broadcast studio, calculate the decibel level for each using the formula, and then find the difference between the two decibel levels.

Step-by-step explanation:

To find the difference in loudness between two sounds, we use the formula for calculating sound intensity levels in decibels (dB):

ß = 10 × log10(I / I0)

where I is the sound intensity in watts per square meter, and I0 = 10⁻¹² W/m² is the reference intensity (threshold of hearing).

First, calculate the decibel level for each intensity:

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Insert the intensities into the formula to obtain their respective decibels:

1. 
   
3. 
   

Calculate the individual decibels, then find the difference between ß1 and ß2 to obtain the difference in loudness between the average office and the broadcast studio.