In the context of transverse waves, which formula correctly gives the wave speed in terms of frequency and wavelength?

• A. $v=\frac{\lambda }{f}$
• B. $v=f+\lambda$
• C. $v=f\lambda$
• D. $v=\lambda -f$

Answer: (C)

Verified step by step guidance

1. Recall the fundamental relationship between wave speed (v), frequency (f), and wavelength (λ) for any wave, including transverse waves.
2. Understand that frequency (f) is the number of wave cycles passing a point per second, measured in hertz (Hz), and wavelength (λ) is the distance between successive crests or troughs, measured in meters (m).
3. The wave speed (v) is how fast the wave propagates through the medium, measured in meters per second (m/s).
4. The correct formula that relates these quantities is given by multiplying frequency and wavelength: \(v = f \times \lambda\).
5. Note that the other options involving addition, subtraction, or division do not correctly represent the physical relationship between these quantities.