The equation of a simple harmonic progressive wave is y = 0.30 sin (314 t– 1.57 x), where tx and y are in second, meter and cm respectively. Calculate the frequency and the wavelength of the wave


Correct option is

Frequency = 50 second–1 , wavelength = 4m


In the equation y = 0.30 sin (314 t – 1.57 x), t is in second, y in cm and x in meter. If y is also expressed in meter, then




Comparing it with the standard equation , we get 

Time-period    T = (1/50) second.

∴ frequency,  n = 1/T = 50 second–1.  

And wavelength, λ = 4 meter.    



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