\(y_1=4 \sin 500 \pi t\)

\(y_2=2 \sin 506 \pi t\)

Frequency of \(y_1\left(f_1\right)=\frac{\omega}{2 \pi}=\frac{500 \pi}{2 \pi}=250 \,Hz\)

Frequency of \(y_2\left(f_2\right)=\frac{\omega}{2 \pi}=\frac{506 \pi}{2 \pi}=253 \,Hz\)

Intensity relation \(\frac{A_{\max }}{A_{\min }}=\frac{\left(A_1+A_2\right)^2}{\left(A_1-A_2\right)^2}\)

\(=\frac{36}{4}=9\)