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A plane progressive wave is y=0.02 sin (...

A plane progressive wave is `y=0.02 sin (400 t-0.12 x)`. Calculate the following:
(i) amplitude of wave, (ii) frequency of wave, (iii) wavelength of wave, (iv) interval at which a compression follows a rerefaction, (v) velocity of the wave.
[Hint: compare this equation with the standard `y=a sin (2 pi nt-2pi x//lambda)`]

Text Solution

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The correct Answer is:
`(i) 0.02 m, (ii) 63.5 Hz, (iii) 52.4 m, (iv) 0.008 s, (v) 3333.3 m s^(-1)`
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Knowledge Check

  • Equation of a progressive sound wave is y =a sin (400 pi t - (pi x)/(0.85)) where x in (metre), t (second), then frequency of wave is :

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