Question

Two waves of the same pitch have their amplitudes in the ratio 2:3.
1)What will be the ratio of their loudness?
2)What will be the ratio of their frequencies?

Answer 1

1) We know that, $Loudness\propto (Amplitude{)}^2$
So the ratio of loudness will be equal to $\left(\frac{2^2}{3^2}\right)=4:9$.
2) Since they have the same pitch, the ratio of frequencies will be $1:1$.