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Resultant amplitude of two waves of the same amplitude with a phase difference of pi/2

The same question, asked 2 times: 9 May 2023 S1, 14 May 2024 S2. Every wording below, oldest first.

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  1. Question 1

    9 May 2023 S1

    7
    Two sound waves having same amplitude AA and angular frequency ω\omega but having a phase difference of π2\frac{\pi}{2} are superimposed. The maximum amplitude of the resultant wave is

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  2. Question 2

    14 May 2024 S2

    7
    When two light waves each of amplitude AA & having a phase difference of π2\frac{\pi}{2} superimposed then the amplitude of resultant wave is

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