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The resultant amplitude, when two waves ...

The resultant amplitude, when two waves of two waves of same frequency but with amplitudes `a_(1)` and `a_(2)` superimpose at phase difference of `pi//2` will be :-

A

`a_(1) + a_(2)`

B

`a_(1) - a_(2)`

C

`sqrt(a_(1)^(2) + a_(2)^(2))`

D

`a_(1)^(2) + _(2)^(2)`

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • Two waves ofsame frequency, constant phase difference but different amplitude superpose at a point:

    A
    The resultant intensity varies periodically as a function of time
    B
    There will be no interference
    C
    There will be interference in which the minimum intensity will not be zero
    D
    There will be interference in which the minimum intensity is zero

  • If two waves of same frequency and same amplitude superimpose and produce third wave of same amplitude, then waves differ in phase by –

    A
    `pi//3`
    B
    `2pi//3`
    C
    `pi//2`
    D
    `pi`

  • If two waves of amplitude a produce a resultant wave of amplitude a then the phase difference between the is

    A
    `60^(ul@)`
    B
    `90^(ul@)`
    C
    `120^(ul@)`
    D
    `180^(ul@)`

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