the amplitude of a wave is represented by y = 0.2 sin 4π[t/0.008 x/0.8] is si units find wavelength, frequency, amplitude of wave
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Given:
To find:
Wavelength, frequency, and amplitude of the wave.
Solution:
Here, the equation of a wave is given by:
Let us split as ×
Then,
Multiplying inside the square brackets.
This equation is similar to the equation of a simple harmonic progressive wave which is given by:
where is the amplitude of the wave, is the time period and is the wavelength of the wave.
On comparing equation (2) with equation (1), we can say that,
Hence, the amplitude of the wave,
time period =
Wavelength of the wave,
The wavelength, frequency and amplitude of the wave are calculated as 0.4m, 250 Hz, and 0.2m respectively in S.I units.
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