Question

Calculate the change in intensity level when the intensity of sound increases by ${10}^6$ times its original intensity.

• A. $60\text{dB}$
• B. $50\text{dB}$
• C. $40\text{dB}$
• D. $30\text{dB}$

Answer 1

The correct option is A $60\text{dB}$

Increase in intensity level, $L=10{\text{log}}_{10}\left(\frac{I}{I_0}\right)$
$\Rightarrow L=10{\text{log}}_{10}\left({10}^6\right)dB=60\text{dB}$