Two periodic waves of amplitudes $a$ and $b$ pass through a region at the same time in the same direction.…

Two periodic waves of amplitudes $a$ and $b$ pass through a region at the same time in the same direction. If $a > b$, the difference in the maximum and minimum possible amplitudes is
  1. $a + b$
  2. $a - b$
  3. $2a$
  4. $2b$

Solution

$A_{\text{max}} = a + b$ and $A_{\text{min}} = a - b$ $\therefore A_{\text{max}} - A_{\text{min}} = 2b$

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