Question

If the amplitude of a wave is doubled, what will be the effect on its loudness ?

Answer 1

  Question

If the amplitude of a wave is doubled, what will be the effect on its loudness ?

ANSWER

We know that loudness is directly proportional to the suare of the amplitude of sound wave.

So we can write =>

Loudness  = (Amplitude)²                      -------------------(i)

So, when the amplitude of an wave is doubled then we get =>

               New Loudness = (2× Amplitude)²

=>New  Loudness = 4  × Amplitude²

And from (i) we get =>

                        New Loudness = 4 × Loudness

HENCE, LOUDNESS IS INCREASED UPTO 4 TIMES WHEN AMPLITUDE OF AN SOUND WAVE IS DOUBLED.

thanks

Answer 2

hola mate..!!

Answer:-

As We know that loudness is directly proportional to the suare of the amplitude of sound wave.

So we can write =>

Loudness  = (Amplitude)²                      -------------------(i)

So, when the amplitude of an wave is doubled then we get =>

               New Loudness = (2× Amplitude)²

=>New  Loudness = 4  × Amplitude²

And from (i) we get =>

                        New Loudness = 4 × Loudness

HENCE, LOUDNESS IS INCREASED UPTO 4 TIMES WHEN AMPLITUDE OF AN SOUND WAVE IS DOUBLED.

hope it helps..!!