Question

The toadfish makes use of resonance in a closed tube to produce very loud sounds. The tube is its swim bladder, used as an amplifier. The sound level of this creature has been measured as high as 100 dB. (a) Calculate the intensity of the sound wave emitted. 0.01 W/m2 (b) What is the intensity level if three of these toadfish try to make a sound at the same time

Answer 1

Step-by-step explanation:

For intensity of sound in dB scale , the formula is as follows .

intensity in dB = 10 log ( I / 10⁻¹² )

Putting the values given

100 = 10 log ( I / 10⁻¹² )

10 = log ( I / 10⁻¹² )

I / 10⁻¹² = 10¹⁰

I = 10¹⁰ X 10⁻¹²

I = 10⁻²

I = .01 W /m²

b)

If 3 toadfish are making sound simultaneously ,

Total intensity = 3 x .01 = .03 W / m²

intensity in decibel

= 10 log (3 x 10⁻² / 10⁻¹² )

= 10 log ( 3 x 10¹⁰)

=10 ( 10 + log 3 )

= 10 ( 10 + .477)

= 104.77 dB