Final answer:
The possible frequency of the wave on the guitar string is 196 Hz and the wavelength is 0.618 m.
Step-by-step explanation:
The possible frequency of the wave on the string can be calculated using the formula:
f = v/λ
Where:
f = frequency of the wave (in Hz)
v = velocity of the wave (in m/s)
λ = wavelength of the wave (in m)
Given the frequency of the string vibration (196 Hz) and the length of the string (0.620 m), we can calculate the velocity of the wave on the string:
v = f * λ
Substituting the values:
v = 196 Hz * 0.620 m = 121.12 m/s
Now, to find the possible frequency and wavelength:
f = v/λ
Substituting the values:
196 Hz = 121.12 m/s / λ
Solving for λ:
λ = 121.12 m/s / 196 Hz = 0.618 m
Therefore, the possible frequency of the wave on the string is 196 Hz and the wavelength is 0.618 m.