Question

What will happen to the loudness of the sound if amplitude of a wave is tripled?

Answer 1

What will happen to the loudness of sound if 1)amplitude of the wave is tripled 2)surface area is of the vibrating body is increased 3)the distance between the source and the listener is doubled 4)density of medium decreases. loudness of the sound becomes 9 times. i.e it increases with greater amplitude

Answer 2

Answer:

L=a^2 , let's take an example

a=2 , if a is tripled then

2*3=6

L=a^2              When 'a' was equal to 2,the loudness was equal to 4 which is                                                        

L=6^2              the square of 2 as L=a^2

L=36

36 can be written as (4*9)

4 was the initial value of loudness,thus the loudness has been increased by 9 times when the amplitude is tripled.

I really hope it helps you with your doubt.