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The displacements of two intering lightw...

The displacements of two intering lightwaves are `y_(1) = 4 sin omega t` and `y_(2) = 3 cos(omega t)`. The amplitude of the resultant wave is (`y_(1)` and `y_(2)` are in CGS system)

A

5 cm

B

7 cm

C

1 cm

D

zero

Text Solution

Verified by Experts

The correct Answer is:
A
`A sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cos theta)`
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Knowledge Check

  • The displacement of two interfering light waves are given by y_(1)=3 sinomegat,y_(2)=4 sin(omegat+pi//2) . The amplitude of the resultant wave is

    A
    3
    B
    5
    C
    zero
    D
    one

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    A
    5
    B
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    C
    1
    D
    0

  • The displacements of two interfering light waves are y_(1) = 2sin omega t and y_(2) = 5sin (omega t+(pi)/(3)) the resultant amptitude is

    A
    `39cm`
    B
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    C
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    D
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