Question

What is the loudness, in decibels, of a sound 1 trillion times as loud as the softest audible sound?

The loudness of this sound in decibels is _________ dB. (Type an integer or a decimal.)

Answer 1

120 dB

Step-by-step explanation:

Softest audible sound with intensity, Is

Sound, I, which is 1,000,000,000,000 times as loud ;

I = 1,000,000,000,000 * Is

Loudness of the sound in decibels :

10 log base 10 (1,000,000,000,000 * Is / Is)

= 10 log base 10 (1,000,000,000,000)

= 10 (12)

= 120 decibels