Question

when heard independently two sound waves produce sensations of 60 DB and 55 DB how much will the sensation be if those face sounded together perfectly in the phase

Answer 1

Answer:

The formula for Intensity and Measurement in Decibels is

Measurement in Decibels = 10 log Intensity / 10^-12 W/m^2

So,

if

Decibel measurement is 60

This means that

Intensity will be = 10^-6

And similarly for Decibel measurements in 55 Db will be

Intensity = 1/√10 * 10^-6

So,

net intensity when the two waves are in phase will be

Inet = (√I1 + √I2)^2 = 10^-6 * ( 1+ 1/√√10)^2

= 10^-6 * ( 1+ 1/10^1/4)^2

Using binomial theorem and neglecting higher powers

Net intensity = 10^-6 * (1+2(1/10)^1/4)

= 10^-6 (2.22)

So, finally

Decibel measurement = 10 log 2.22 10^-6/10^-12

= 10 log 2.22 * 10^6 = 63.463 Decibels.

Hope this helps you !

Answer 2

Explanation:

State and prove Gauss'law