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Velocity of Transverse Waves (Strings) quiz

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  • What type of wave is produced when you whip a string up and down with one end fixed?

    A transverse wave is produced, where oscillations are perpendicular to the direction of propagation.
  • What two factors determine the propagation speed of a wave on a string?

    The propagation speed depends on the type of wave and the characteristics of the medium, specifically the tension and mass per unit length of the string.
  • What is the formula for the speed of a wave on a string?

    The speed is given by v = sqrt(T/μ), where T is the tension and μ is the mass per unit length.
  • How do you calculate the mass per unit length (μ) of a string?

    μ is calculated by dividing the mass of the string by its length.
  • If a string has a tension of 100 N, a mass of 5 kg, and a length of 1.2 m, what is its mass per unit length?

    The mass per unit length is 5 kg / 1.2 m = 4.17 kg/m.
  • What equation relates wave speed, wavelength, and frequency?

    The equation is v = λf, where v is speed, λ is wavelength, and f is frequency.
  • What types of energy are carried by waves on a string?

    Waves on a string carry both kinetic energy (due to motion) and potential energy (due to stretching).
  • What three characteristics of a wave affect the energy it carries on a string?

    The energy depends on the frequency, amplitude, and wavelength of the wave.
  • For a wave on a string, how do the kinetic and potential energies compare?

    The kinetic and potential energies are equal for a wave on a string.
  • What is the formula for the energy per unit wavelength carried by a wave on a string?

    It is E = 1/2 μ ω² A² λ, where μ is mass per unit length, ω is angular frequency, A is amplitude, and λ is wavelength.
  • How do you find the total energy carried by a wave along a string of given length?

    Multiply the energy per wavelength by the number of wavelengths that fit in the string's length.
  • How do you calculate the number of wavelengths on a string?

    Divide the total length of the string by the wavelength.
  • How is the power carried by a wave on a string related to energy and period?

    Power is the energy per wavelength divided by the period, or equivalently, energy per unit time.
  • How do you convert angular frequency (ω) to linear frequency (f)?

    Divide the angular frequency by 2π: f = ω / (2π).
  • If you know the power, mass per unit length, amplitude, and speed of a wave on a string, how can you solve for the required frequency?

    Rearrange the power formula to solve for angular frequency, then convert to linear frequency using f = ω / (2π).