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Interference in Sound Waves

Consider thre...

Question

Consider three waves represented by
$y_{1} = 3 s i n (k x - ω t)$
$y_{2} = 3 s i n (k x - ω t + \frac{2 π}{3})$
$y_{3} = 3 s i n (k x - ω t + \frac{4 π}{3})$
What is the amplitude or resultant of waves at x=0?

A

0

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B

9

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C

6

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D

1

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Solution

The correct option is A 0
There are three waves super imposing such that it have zero resultant

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