The equations of displacement of two waves are $y_1 = 10 \sin (3\pi t + \pi / 3)$ and $y_2 = 5 (\sin 3\pi t…

The equations of displacement of two waves are $y_1 = 10 \sin (3\pi t + \pi / 3)$ and $y_2 = 5 (\sin 3\pi t + \sqrt{3} \cos 3\pi t)$ What is the ratio of their amplitude? [UP CPMT 2012]
  1. 1 : 2
  2. 2 : 1
  3. 1 : 1
  4. None of these

Solution

Here, $A_1 = 10, A_2 = \sqrt{25 + 75} = 10$ $\because A_1 : A_2 = 1 : 1$

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