The wave length will be cut in half (1/2) in order to raise the frequency up one octave to 2f0.
In conclusion, waves transport energy. Their frequency and amplitude both affect how much energy they transport. The amount of energy increases with frequency and amplitude, respectively.
The given parameters;
initial frequency, = F₀
final frequency, = 2F₀
Let the initial wave length = λ₁
Let the final wave length = λ₂
The formula for the connection among frequency and wavelength is;
To attain a twofold frequency, the wave's length must be reduced as shown below;
The wave length will thus be cut in half (1/2) in order to raise the frequency up one octave to 2f0.
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