Question

You purchased a new set noise-cancelling headphones to wear on your plane ride to Hawaii last month. The intensity of the background noise on the plane (prior to wearing the headphones) was 4 x 10-2 w/m2. When wearing the headphones, the intensity of the noise was reduced to 2 x 10-3 w/m2. How much noise reduction (in dB) did the headphones provide?

Answer 1

`gain_(db)=-10_(db)`

Step-by-step explanation:

Let's analyze the gain of the noise when wearing the headphones, in this case the gain has to be under 1.

`gain=(N_(after))/(N_(before))\\\\gain=(2*10^(-3)W/m^2)/(4*10^(-2)W/m^2)}\\\\gain=0.1`

In order to convert it to decibels we need to apply the next formula:

`Gain_(db)=10log(gain)\\gain=-10_(db)`