In afternoon, the decibel level of a busy freeway is 100 dB with 100 cars passing a given point every minute. Late at night, the traffic flow is only 20 cars per minute. What is the late-night decibel level? A. 20 dB b. 50 dB c. 80 dB d. 88 dB e. 93 dB

Respuesta :

Answer:

option E

Explanation:

given,

decibel level of a busy freeway = 100 dB

when flow is = 100 car/minutes

traffic flow= 20 car/minute

Intensity factor =[tex]\dfrac{I}{I_0}[/tex]

                         =[tex]\dfrac{20}{100}[/tex]

                         =[tex]\dfrac{1}{5}[/tex]

[tex]\Delta \beta = 10 log\dfrac{I}{I_0}[/tex]

[tex]\Delta \beta = 10 log\dfrac{1}{5}[/tex]

[tex]\Delta \beta = - 6.989\ dB[/tex]

The late night decibel level

       = 100 - 6.989

       = 93

The correct answer option E