Calculate the intensity in dB of a sound with an intensity of 0.0000062W/mm?

To calculate the intensity in dB, we can use the formula:

Intensity (dB) = 10 * log10(I/I0)

Where:
- I is the intensity of the sound (0.0000062W/mm)
- I0 is the reference intensity (1 x 10^-12 W/m^2)

First, we need to convert the intensity from W/mm to W/m^2:
0.0000062 W/mm = 0.0000062 * 1000 W/m^2 = 0.0062 W/m^2

Now we can plug the values into the formula:
Intensity (dB) = 10 * log10(0.0062 / 1 x 10^-12)
Intensity (dB) = 10 * log10(6200000)

Using a calculator, we find:
Intensity (dB) = 10 * 6.792 = 67.92 dB

Therefore, the intensity of the sound is 67.92 dB.

Intensity in dB = 10 log(I/Io)

where I is the intensity of the sound and Io is the reference intensity (10^-12 W/m^2).

I = 0.0000062 W/mm? = 0.062 W/m?

Substituting the values into the formula, we get:

Intensity in dB = 10 log(0.062/10^-12) = 10 log(6.2 x 10^11) = 117.9 dB