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A progressive wave is represented by y =...

A progressive wave is represented by `y = 12 sin (5t - 4x)` cm. On this wave, how far away are the two points having phase difference of `90^circ` ?

A

`(pi)/(2)cm`

B

`(pi)/(4)cm`

C

`(pi)/(8)cm`

D

`(pi)/(16)cm`

Text Solution

Verified by Experts

The correct Answer is:
C
`y=12sin(5t+4x),theta=(pi)/(2)rad,x=?`
`delta=(2pi)/(lamda):.x=(deltalamda)/(2pi)=((pi)/(2))/(4)`
`=(pi)/(8)cm`.
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Knowledge Check

  • A prograssive wave is represented by y= 12 sin ( 5t -4x ) cm .On this wave ,how far away are the two points having phase difference of 90^(@) ?

    A
    ` (pi)/(2) cm `
    B
    ` (pi)/(4) ` cm
    C
    ` (pi)/(8) cm `
    D
    ` (pi)/(16) cm `

  • A progressive wave is, y= 12 sin (5t - 4x) . On this wave how far away are the two points having a phase difference of 45^@) ?

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    `pi//4`
    B
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    D
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  • The equation of a simple harmonic progressive wave is given by y = 12 sin (omega t-4x) m. What is the distance between 2 particles on the wave, having a phase difference of pi//2 ?

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