Question

Helppppppp pleaseee

The loudness of sound in decibels perceived by the human ear depends on the intensity levels according to


D=10log(I/lo)


Find the decibel level when I is 63, 096 times Io.


The decibel is -------------- dB when I is 63, 096 times Io.


Round your answer to the nearest whole number.

Answer 1

We can use the given formula to calculate the decibel level D when the intensity level I is 63,096 times Io:

D = 10log(I/lo)

Where Io is the reference intensity level and is typically taken to be the threshold of hearing, which is 10^−12 watts/m^2.

So, substituting the values, we get:

D = 10log(63,096*Io/Io) = 10log(63,096)

Using a calculator, we find:

D ≈ 47.1 dB

Rounding this to the nearest whole number, we get:

The decibel level is 47 dB when I is 63,096 times Io.

I hope this helps mate.