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The wave function for an electromagnetic...

The wave function for an electromagnetic wave is `phi(x, t)=10^2 sin 3xx 10^6 pi(x-3 xx 10^8t).` Then frequency of the wave is

A

`4.5 xx 10^(14)Hz`

B

`4.5 xx 10^(13)Hz`

C

`4.5 xx 10^(9)Hz`

D

`4.5 xx 10^(6)Hz`

Text Solution

Verified by Experts

The correct Answer is:
A
`phi (x,t)=10^(3) sin 3 xx 10^(6) pi (x-3 xx 10^8 t)`
Comparing it with `Psi(x,t)=a sin ""(2pi)/lambda (x-vt)`
`(2pi)/(lambda)=3 xx 10^(6) pi, lambda=666nm " "f=(3 xx 10^(8))/(666 xx 10^(-9))=4.5 xx 10^(14)Hz`
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Knowledge Check

  • The wave function for an electromagnetic wave is phi(x,t)= 10^(3) sin 3 xx 10^(6)pi (x- 3 xx 10^(8)t) . Then frequency of the wave is

    A
    `4.5 xx 10^(14)Hz`
    B
    `4.5 xx 10^(13)Hz`
    C
    `4.5 xx 10^(9)Hz`
    D
    `4.5 xx 10^(6)Hz`

  • Given the wave function (in SI units) for a wave to be Psi_(x,t)=10^3 sin pi (3 xx 10^6 x–9 xx 10^(14)t). The speed of wave is

    A
    `9 xx 10^(14)ms^(-1)`
    B
    `3 xx 10^(8)ms^(-1)`
    C
    `3 xx 10^(6)ms^(-1)`
    D
    `3 xx 10^(7)ms^(-1)`

  • Given the wave function (in SI units) for a wave to be Psi_((x,t))=10^(3) sin pi (3 xx 10^(6) x- 9 xx 10^(14)t) . The speed of wave is

    A
    `9 xx 10^(14) ms^(-1)`
    B
    `3 xx 10^(8) ms^(-1)`
    C
    `3 xx 10^(6) ms^(-1)`
    D
    `3 xx 10^(7) ms^(-1)`

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