The equation of a plane progressive wave is y=10sin2pi(t-0.05x). Where y and x are in an and t in seconds. Calculate the amplitude, frequency, wavelength and velocity of the wave.

The equation of a plane progressive wave is y=10sin2pi(t-0.05x). Where

1.	The equation of a plane progressive wave is y=10sin2pi(t-0.05x). Where y and x are in an and t in seconds. Calculate the amplitude, frequency, wavelength and velocity of the wave.
Answer» Solution :GIVEN: `y=10sin2pi(t-0.005x)""....(1)` The standard eqauation for a harmonic wave is `y=Asin2pi((t)/(T)-(x)/(lamda))""......(2)` Comparing equations (1) & (2), we get, `A=10,(1)/(T)=1,(1)/(lamda)=0.005` (i) Amplitude, A=10 CM [y and A have same UNITS] Frequency, `gamma=(1)/(T)=1Hz` (iii) Wavelength, `gamma=(1)/(0.005)=200cm` [x and `gamma` have same units] (IV) Velocity, `v=gammalamda=1xx200=200cms^(-1)`