The superposing waves are represented by the following equations, $y_1 = 5\sin 2\pi(10t - 0.1x)$ $y_2 =…

The superposing waves are represented by the following equations, $y_1 = 5\sin 2\pi(10t - 0.1x)$ $y_2 = 10\sin 2\pi(20t - 0.2x)$ Ratio of maximum and minimum intensities will be
  1. 1
  2. 9
  3. 4
  4. 3

Solution

$\frac{I_{\text{max}}}{I_{\text{min}}} = \frac{(a_1 + a_2)^2}{(a_1 - a_2)^2} = \frac{(5 + 10)^2}{(5 - 10)^2} = \frac{9}{1}$

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