How do u get the wave number

Physics

ScanSolve AI Answer

Step-by-step solution

2 steps

To get the wave number kk, you need to know the wavelength λ\lambda of the wave.

  1. Identify the wavelength (λ\lambda).

    The wavelength is the spatial period of the wave, the distance over which the wave's shape repeats. It is usually given in meters (m).

  2. Use the formula for wave number.

    The wave number kk is defined as:

    k=2πλk = \frac{2\pi}{\lambda}

    where:

    • kk is the wave number (in radians per meter, rad/m\text{rad/m} or m−1\text{m}^{-1})
    • π\pi is the mathematical constant pi (approximately 3.14159)
    • λ\lambda is the wavelength (in meters, m)

    Example:
    If a wave has a wavelength of λ=0.5 m\lambda = 0.5 \, \text{m}, then its wave number would be:

    k=2π0.5 m=4π rad/mk = \frac{2\pi}{0.5 \, \text{m}} = 4\pi \, \text{rad/m} k≈12.57 rad/mk \approx 12.57 \, \text{rad/m}
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