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If you increase the frequency of a sound wave four times, what will happen to its speed?
OA. The speed will increase four times.
OB. The speed will decrease four times.
Oc.
The speed will remain the same.
D. The speed will increase twice.
OE.
The speed will decrease twice.

Sagot :

Lanuel

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.

Read more on sound wave here: https://brainly.com/question/19250621

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