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If two waves represented by y(1)=4 sin o...

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

A

7

B

6

C

5

D

`3.5`

Text Solution

Verified by Experts

The correct Answer is:
A
Phase difference between the tow waves `phi=(pi)/(3)`, amplitudes are `a_(1)=4, and a_(2)=3`
`:. A=sqrt(a_(1)^(2)+a_(2)^(2)+2a_(1)a_(2)cos phi)`
or, `A=6`
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Knowledge Check

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

    A
    7
    B
    6
    C
    5
    D
    `3.5`

  • If two waves represented by y_1=4sin omega t and y_2=3sin (omegat+pi/3) interfere at a point, the amplitude of the resulting wave will be about

    A
    (a) `7`
    B
    (b) `6`
    C
    (c) `5`
    D
    (d) `3*5`

  • it the two waves represented dy y_(1)=4cos omegat and y_(2)=3 cos(omegat+pi//3) interfere at a point, then the amplitude of the resulting wave will be about

    A
    7
    B
    5
    C
    6
    D
    `3.5`

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