The loudness $\beta$ of sound is dependent upon the sound intensity I according to the following equation: $\beta = 10 \log \left( I \times 10 ^ { 12 } \right)$ . Which type of mathematical model is used in this relationship?
A) Linear model
B) Nonlinear model
C) Exponential model
D) Logarithmic model

Question

Quizplus · Accepted Answer

The equation $\beta = 10 \log \left( I \times 10 ^ { 12 } \right)$ uses a logarithm to relate the loudness of sound to its intensity, making it a logarithmic model.

The Loudness β\betaβ Of Sound Is Dependent Upon the Sound Intensity I According

The Loudness $\beta$ Of Sound Is Dependent Upon the Sound Intensity I According