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Frequency = Velocity divided by wavelength. So if frequency is doubled that means velocity is doubled but the wavelength is halved.

You can see this by keeping wavelength a constant :

If Frequency =1 and Wavelength= 1

1= Velocity/1

Velocity=1

If Frequency =2 and Wavelength= 1

2= Velocity/1

Velocity =2

OR keeping Velocity constant:

If Frequency =1 and Velocity= 1

1= 1/Wavelength

Wavelength =1

If Frequency =2 and Velocity= 1

2= 1/Wavelength

Wavelength=1/2

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15y ago

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