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Determine the wavelength (lambda) from the diagram.

Physics

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Answer

B. 300Hz\text{B. 300Hz}

Step-by-step solution

3 steps

B. 300Hz

  1. Determine the wavelength (λ\lambda) from the diagram.

    The diagram shows 3 complete cycles of the wave over a distance of 3 m3 \, \text{m}.
    Therefore, the length of one wavelength is:

    λ=3 m3=1 m\lambda = \frac{3 \, \text{m}}{3} = 1 \, \text{m}
  2. Identify the given wave speed (vv).

    The wave travels with a speed of 300 ms−1300 \, \text{ms}^{-1}.

    v=300 ms−1v = 300 \, \text{ms}^{-1}
  3. Calculate the frequency (ff) using the wave equation.

    The relationship between wave speed, frequency, and wavelength is given by:

    v=fλv = f \lambda

    To find the frequency, rearrange the formula:

    f=vλf = \frac{v}{\lambda}

    Substitute the values:

    f=300 ms−11 mf = \frac{300 \, \text{ms}^{-1}}{1 \, \text{m}} f=300 Hzf = 300 \, \text{Hz}

    The calculated frequency is 300 Hz300 \, \text{Hz}. This matches option B.

    The final answer is B. 300Hz\text{B. 300Hz}.

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