Question

A two-fold increase in intensity of a wave implies an increase of (Given : $lo{g}_{10}2=0.3010$.)

• A. $2dB$
• B. $10dB$
• C. $3.01dB$
• D. $0.5dB$

Answer 1

Answer: (C)

$L=10{\log }_{10}\frac{I}{I_0}$ decibel
$L,=10{\log }_{10}\frac{2I}{I_0}$ decibel
$L^{\prime }-L=10\left[{\log }_{10}\frac{2I}{I_0}{\log }_{10}\frac{I}{I_0}\right]$
$=10{\log }_{10}2=10\times 0.3010=3.01dB$