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The equations for displacement of two li...

The equations for displacement of two light waves forming interference pattern are `y_(1)`= 4 sin `omega` t and ` y_(2)`=3 sin `(omega t+ (pi)/(2))`. Determine the amplitude of the resultant wave.

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Equations of two light waves are y_(1) = 4 sin omega t and y_(2) = 3 sin (omega t + (pi)/(2)) . What is the amplitude of the resultant wave as they superpose on each other?

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Knowledge Check

  • If two waves represented by y_(1) =4 sin omega t and y_(2)=3"sin" (omega+(pi)/(3)) interfere at a point the amplitude of the resulting wave will about

    A
    7
    B
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  • When two progressive waves y_(1) = 4 sin (2 x - 6t) and y_(2) = 3 sin (2x - 6t -(pi)/(2)) are superposed, the amplitude of the resultant wave is

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    D
    `(1)/(2)`

  • When the waves y_(1) = A sin omega t and y_(2) = A cos omega t are superposed, then resultant amplitude will be

    A
    `sqrt(2) ` A
    B
    `(1)/(sqrt(2))A`
    C
    A
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