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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

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Answer:

Explanation:

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

intensity in dB = 10 log ( I / 10ā»Ā¹Ā² )

Putting the values given

100 = 10 log ( I / 10ā»Ā¹Ā² )

10 = log ( I / 10ā»Ā¹Ā² )

I / 10ā»Ā¹Ā² Ā = 10Ā¹ā°

I = 10Ā¹ā° X 10ā»Ā¹Ā²

I = 10ā»Ā²

I = .01 W /mĀ²

b)

If 3 toadfish are making sound simultaneously ,

Total intensity = 3 x .01 = .03 W / mĀ²

intensity in decibel

= 10 log (3 x 10ā»Ā² / 10ā»Ā¹Ā² )

= 10 log ( 3 x 10Ā¹ā°)

=10 ( 10 + log 3 )

= 10 ( 10 + .477)

= 104.77 dB

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