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Revisiting Standing Waves

Two waves are...

Question

Two waves are given by $y_{1} = a s i n (ω t - k x)$ and $y_{2} = a c o s (ω t - k x)$ The phase difference between the two waves is

[MP PMT 1993; SCRA 1996; CET 1998;EAMCET 1991; Orissa JEE 2002]

A

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B

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C

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D

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Solution

The correct option is D

$y_{1} = a s i n (ω t - k x)$ and $y_{2} = a c o s (ω t - k x) = a s i n ⎧ ⎪ ⎩ ω t - k x + \frac{π}{2} ⎫ ⎪ ⎭$

Hence phase difference between these two is $\frac{π}{2}$

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