Question

If you install special sound-reflecting windows that reduce the sound intensity level by 35.0 dB , by what factor have you reduced the sound intensity

Answer 1

5000

Step-by-step explanation:

Sound intensity is the power carried by the sound wave per unit area. Its unit is W/m². Commonly this intensity is measured on a logarithmic scale known as 'decibel scale'. On the decibel scale, 0 dB is the threshold of hearing. This corresponds to the sound intensity of
`1* 10^(-12)` W/m². For a 10 times increase in the sound intensity decibel value increase by 10. That means,

10 dB =
`1* 10^(-11)` W/m²

By this logic for a reduction in the sound intensity level by 35dB, the sound intensity will be reduced by a factor of 5000.