Q.59PE - College Physics (Urone)

Question

If your radio is producing an average sound intensity level of \({\rm{85}}\;{\rm{dB}}\), what is the next lowest sound intensity level that is clearly less intense??

Step-by-Step Solution

Answer

The next lowest sound intensity level is \(82\;dB\).

Step 1: Given Data

The sound intensity level is\(L = 85\;dB\)

Step 2: Concept

The expression for the next lowest sound intensity level is given by,

\({L^'} = L - 3\) 

Here \(L\) is an average sound intensity level.

Step 3: Calculation of the closest frequencies

The lowest less intense sound intensity level is,

\[{L^'} = \left( {L - 0.003} \right)\] 

Plugging the values,

\[\begin{aligned}{c}{L^'} &= \left( {85 - 3} \right)\,dB\\ &= 82\;dB\end{aligned}\] 

Therefore the next lowest sound intensity level is \[82\;dB\].