Two waves represented by the following equations are travelling in the same medium $y_1 = 5\sin 2\pi (75t -…
Two waves represented by the following equations are travelling in the same medium
$y_1 = 5\sin 2\pi (75t - 0.25x),$
$y_2 = 10\sin 2\pi (150t - 0.50x).$
The intensity ratio $\frac{I_1}{I_2}$ of the two waves is
1 : 2
1 : 4
1 : 8
1 : 16
Solution
Ratio of intensities, $\frac{I_1}{I_2} = \frac{A_1^2 \omega_1^2}{A_2^2 \omega_2^2} = \left(\frac{5}{10}\right)^2 \left(\frac{2\pi \times 75}{2\pi \times 150}\right)^2 = \frac{1}{16}$