Question

Two waves of frequencies 256 hertz and 288 hertz respectively have the same amplitude . What is ratio of the loudness produced by two waves?

Answer 1

Loudness is a subjective property of sound waves.

It is directly proportional to the square of amplitude but is independent of frequency.

So in your case amplitude being the same, both the waves will appear equally loud.

Therefore their ratio of loudness will be- 1:1

Answer 2

The loudness produced by two waves will be 1:1.

Explanation:

Given that,

The frequency of wave 1, $f_1=256\ Hz$

The frequency of wave 2, $f_2=288\ Hz$

Amplitude of both waves is same, $A_1=A_2$

The loudness of a wave depends only on the amplitude of a wave. It is independent of the frequency of a wave. Here, we need to find the ratio of the loudness produced by two waves.

So, the loudness produced by two waves will be 1:1. Hence, this is the required solution.

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