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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
According to question, the progressive wave is represented by `y=12 sin (5t-4x) cm`
Comparing this equation with standard equation of progressive wave,
`y=A sin (omega t-kx)`
So, we have `A=12`
`omega =5 implies k=4`
Here, `(omega t-kx)` is phase difference
`=pi/2 :. 5t-4x=pi/2`
When `t=0, 4x=pi/2`
`:. x=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^@) ?

    A
    `pi//4`
    B
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    C
    `pi//16`
    D
    `pi//32`

  • 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 ?

    A
    `pi//2m`
    B
    `pi//4 m`
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    `pi//6 m`
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