Answer:
The level in decibels is 100.
Step-by-step explanation:
The intensity level in decibels (β) can be found using the following equation:
[tex] \beta = 10log(\frac{I}{I_{0}}) [/tex]
Where:
I: is the intensity = 10⁻⁶ W/cm²
I₀: is the reference intensity = 10⁻¹² W/m²
First, we need to convert the unit of the given intensity from W/cm² to W/m².
[tex] I = 10^{-6} \frac{W}{cm^{2}}*\frac{(100 cm)^{2}}{1 m^{2}} = 10^{-2} W/m^{2} [/tex]
Hence, the level in decibels is:
[tex] \beta = 10log(\frac{10 ^{-2} W/m^{2}}{10^{-12} W/m^{2}}) = 100 dB [/tex]
Therefore, the level in decibels is 100.
I hope it helps you!
