Answer :
The speed will increase four (4) times when the frequency of sound wave is increased four (4) times.
How to calculate the frequency of a wave.
Mathematically, the frequency of a sound wave is given by this formula:
[tex]F = \frac{V}{\lambda}[/tex]
Where:
- F is the frequency of a sound wave.
- V is the velocity of a sound wave.
- [tex]\lambda[/tex] is the wavelength of a sound wave.
Note: The frequency of the sound wave is increased four (4) times.
- F = 4F
Substituting the given parameters into the formula, we have;
[tex]4F = \frac{V}{\lambda}\\\\V=4F\lambda[/tex]
Therefore, the speed will increase four (4) times when the frequency of sound wave is increased four (4) times.
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