The Relationship
The speed of a wave (v) is related to its frequency (f) and wavelength (λ) by the following equation:
v = fλ
Understanding the Change
* Constant Speed: Since the wave speed (v) is constant, the product of frequency (f) and wavelength (λ) must also remain constant.
* Reduced Wavelength: If the wavelength (λ) is reduced by a factor of 3, the frequency (f) must increase by a factor of 3 to maintain the constant speed.
Conclusion
If the wavelength of a wave is reduced by a factor of 3 while the speed remains constant, the frequency of the wave will increase by a factor of 3.
