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Textbook Expert
Textbook ExpertVerified Tutor
11 Nov 2021

Given information

Given:

By adjusting the intensity of a sound, the volume may be doubled.

The intensity and loudness are the same, many incorrectly assume that doubling the intensity will double the loudness.

 

Step-by-step explanation

Step 1.

In terms of intensity  , the level of sound  is defined as:

  

Where is the intensity of the specified reference level and  is in base-  .

The square of the pressure exerted is exactly proportional to the intensity generated by a sound source.

  

The power created is exactly proportional to the intensity of the sound wave.

 

Assume that the loudness of a particular sound is to be doubled by modifying its intensity, and we know that doubling the loudness entails doubling the pressure near the listener's ear, i.e.,

 

As a result, if the starting and ultimate power generations are and , respectively,

 

Implies that,

 

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