Question

The intensity of the sound from the speakers of a certain MP3 player (without earbuds) is measured at 3.6 × 10−5 W/m2. Find the decibel level. (Round your answer to the nearest whole number.

Answer 1

Answer:

The decibel level is 76 dB

Explanation:

We define the sound level through the equation:

β=10*㏒($\frac{I}{Io}$ )Equation 1

The constant Io is the reference intensity

Io=$1*10^{-12} \frac{W}{m^{2} }$

I is the intensity in Watts for each square meter to which the sound level B corresponds, where B is measured in decibels (dB).

For this problem we have the following data:

I=$3.6*10^{-5}  \frac{W}m^{2} }$

Io=$1*10^{-12} \frac{W}{m^{2} }$

We replace the data in equation 1:

β=10*㏒$\frac{3.6*10^{-5} }{1*10^{-12} }$

β= 10*㏒*$3.6*10^{7}$=75.56

β=76 dB

Answer: The decibel level is 76 dB