The intensity of the sound of traffic at a busy intersection

The intensity of the sound of traffic at a busy intersection was measured at 2.0 × 101 W/m2. Find the decibel level. (Round your answer to the nearest whole number.)

Solution

Sound intensity of traffic at a busy intersection is given by I = 2×10^1 W/m².
Now,
Reference sound intensity Io = 10^12 W/m² (Threshold of hearing)
Reference sound intensity level LIo = 0 dB (Threshold of hearing level)
we need to find sound intensity level LI in dB when entering sound intensity I = 2×10^1 W/m².
Sound intensity level LI = 10×log (I / Io) dB = 10×log (2×10^1 / 10^12)=10*11.30 dB
= 113.01 dB
=113dB on round off