Question

When we are angry, we unconsciously increase the intensity of the sound we emit. In a soap opera, the cast is acting angry with each other with a level of 79 dB, then they make up so that the sound output becomes 57 dB. The frequency of their sound is 337 Hz, the velocity of sound in the air is 344 m / s and the density of the air is 1.21 kg / m3.
What is the sound intensity when they fight, in (W / m2)?
What is the sound intensity when they are no longer fighting, in (W / m2)?
What is the amplitude of the sound waves when they fight?
What is the amplitude of the sound waves when they are not fighting?

Answer 1

The conversion of is given by the formula ,

Sound intensity in decibel = (10 decibels) × log[{sound intensity in (W/m²)} / refrence intensity]

Ans 1- So, by formula putting the value, let intensity in W/m²  is x then,

79=10log(x/10^-12)

​​​​​​So, sound intensity when they are fight

X= 7.943×10^-5 W/m²

Ans 2- by formula , let the sound intensity is y when they no longer fighting

57=10log(y/10^-12)

So, y = 5.012×10^-7 W/m²

Ans3- Formula for amplitude of sound =√(I/2π²²c)

Amplitude of sound when they are fighting

By formula = 2.91×10^-7m

Ans 4- the amplitude of sound when they are not fighting

By formula ₁= 5.3×10^-8m