The relationship between wave speed, frequency, and wavelength is expressed by the formula:
\[v = f \lambda\]
In this context:
- \( v \) represents the wave speed.
- \( f \) is the frequency, given as \( 50 \, \text{Hz} \).
- \( \lambda \) is the wavelength, given as \( 2 \, \text{m} \).
Upon substituting these values:
\[v = 50 \times 2 = 100 \, \text{m/s}\]
Consequently, the wave speed is determined to be \( 100 \, \text{m/s} \).