Calculate the wavelength of a wave with a speed of $$ 10 \mathrm{~m} \cdot \mathrm{~s}^{-1} $$ and a frequency of 20 Hz .

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To calculate the wavelength ($$ \lambda $$) of a wave when you know its speed ($$ v $$) and frequency ($$ f $$), you can use the following fundamental wave equation:

$$
v = \lambda \times f
$$

Where:
- $$ v $$ is the speed of the wave (in meters per second, m/s)
- $$ \lambda $$ is the wavelength (in meters, m)
- $$ f $$ is the frequency (in hertz, Hz)

**Given:**
- Speed, $$ v = 10 \, \text{m/s} $$
- Frequency, $$ f = 20 \, \text{Hz} $$

**Step-by-Step Calculation:**

1. **Rearrange the equation to solve for wavelength ($$ \lambda $$):**

$$
\lambda = \frac{v}{f}
$$

2. **Plug in the known values:**

$$
\lambda = \frac{10 \, \text{m/s}}{20 \, \text{Hz}}
$$

3. **Calculate the wavelength:**

$$
\lambda = 0.5 \, \text{meters}
$$

**Conclusion:**

The wavelength of the wave is **0.5 meters**.
The wavelength is 0.5 meters.

Calculate the wavelength of a wave with a speed of \( 10 \mathrm{~m} \cdot \mathrm{~s}^{-1} \) and a frequency of 20 Hz .

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