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In \( y = f(x - ct) \), the constant \( c \) is

  • A.the wavelength of the disturbance
  • B.the speed at which the disturbance travels
  • C.the amplitude of the disturbance
  • D.the frequency of the disturbance

Answer: B

The shape \( f \) is unchanged if \( x \) and \( t \) increase together so as to keep \( x - ct \) fixed, which requires \( dx/dt = c \). So the profile moves bodily at speed \( c \). Amplitude belongs to \( f \) itself, and frequency and wavelength appear only once a particular periodic \( f \) is chosen

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