# The equation of a progressive wave travelling along the x axis is given by where y and x are in m and t in s.Calculate:(i) amplitude(ii) frequency and wavelength(iii) wave velocity.

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by yamiDeo

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by yamiDeo

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Y = 10 Sin π (2 t - 0.01 x)

= 10 Sin (2π t - 0.01 π x)

= A Sin (ω t - k x )

Amplitude = 10 meters.

Frequency = ω / 2π = f = 1 Hz

k = wave number = 0.01 π rad/meter

= 2π/λ

λ = 200 meters

Wavelength = λ = 200 meters

wave velocity = v = λ f = 200 m/sec

= 10 Sin (2π t - 0.01 π x)

= A Sin (ω t - k x )

Amplitude = 10 meters.

Frequency = ω / 2π = f = 1 Hz

k = wave number = 0.01 π rad/meter

= 2π/λ

λ = 200 meters

Wavelength = λ = 200 meters

wave velocity = v = λ f = 200 m/sec