$\text{Wavelength}=\frac{\text{Total length of string}}{\text{Number of waves}}$
Therefore,
$\text{Wavelength}=\frac{20}{4}\text{cm}$
$=5\text{cm}$
$=0.05\text{m}$
Frequency = (Vibration per second) × (Number of complete waves formed)
Therefore frequency,
Frequency = (30) × (4)Hz
= 120Hz
Given: Frequency f = 120Hz
Wavelength $\lambda=0.05\text{m}$
We know the relation between velocity, frequency, and wavelength
$\text{v}=\text{f}\times\lambda$
Where,
ν is the velocity,
f the frequency,
$\lambda$ the wavelength.
Therefore,
ν = (120) × (0.05)m/s
= 6m/s
Therefore, velocity of the wave is 6m/s.
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