When you are 2 meters away from the speakers at a concert, the sound level is 140 db. How far away should you sit to reduce the level to 100 dB?

Question

When you are 2 meters away from the speakers at a concert, the sound level is 140 db. How far away should you sit to reduce the level to 100 dB?

Answer 1

The decibel level varies inversely as the square of the distance.

 

(db)(dis)² = k

 

140(2²) = 100(d²)

140(4) = 100(d²)

560 = 100d²

5.6 = d²

2.36643191 ≈ d

 

You should sit 2.37m from the speakers for the db to be 100.