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Questions and Answers
Speed of a progressive wave is determined by the properties of the medium like its elasticity and density.
Speed of a progressive wave is determined by the properties of the medium like its elasticity and density.
True
The equation of the wave is given by $y(x, t) = R \sin(\omega t - kx)$.
The equation of the wave is given by $y(x, t) = R \sin(\omega t - kx)$.
True
The phase of the wave, $\phi$, is constant when $\phi = \omega t - kx$ is a constant.
The phase of the wave, $\phi$, is constant when $\phi = \omega t - kx$ is a constant.
True
The speed of a wave, $z$, is equal to the product of frequency, $n$, and wavelength, $\lambda$.
The speed of a wave, $z$, is equal to the product of frequency, $n$, and wavelength, $\lambda$.
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The speed of transverse wave on a stretched string is given by the equation $v = n\lambda$.
The speed of transverse wave on a stretched string is given by the equation $v = n\lambda$.
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Study Notes
Wave Properties
- The speed of a wave is determined by properties of the medium, specifically its elasticity and density.
Wave Equation
- The equation of a progressive wave is $y(x, t) = R \sin(\omega t - kx)$.
- Where:
- $y(x, t)$ is the displacement of the wave at position $x$ and time $t$.
- $R$ is the amplitude of the wave.
- $\omega$ is the angular frequency of the wave.
- $k$ is the wave number.
Phase of a Wave
- The phase of a wave, $\phi$, is defined as $\phi = \omega t - kx$.
- When the phase is constant, the wave is considered to be in a constant state.
Speed of a Wave
- The speed of a wave, $z$, is defined as the product of frequency, $n$, and wavelength, $\lambda$: $z = n\lambda$.
Speed of a Transverse Wave on a String
- The speed of a transverse wave on a stretched string is given by the equation $v = n\lambda$.
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Description
Test your knowledge of wave speed and transverse wave motion with this quiz. Explore the relationship between wave form advancement and time, and understand how a wave travels on a string in the positive direction of the x-axis.
