A small amplitude transverse wave is traveling on a string. The frequency of the wave is suddenly doubled. Which one of the following is a true statement?
A. The period of the wave doubles
B. The wavelength doubles
C. The speed of the wave doubles
D. The wavelength is cut in half
E. The speed of the wave is cut in half
Answer (3)
The wavelength of the string is cut in half. The answer is D. The higher the frequency the shorter the wavelength. They are inversely proportional.
Doubling the frequency of a transverse wave on a string would result in the wavelength of the wave being halved. This is due to the inverse relationship between frequency and wavelength in the context of wave speed remaining constant. ;
When the frequency of a transverse wave on a string is doubled, its wavelength is cut in half while maintaining a constant wave speed. Therefore, the correct choice from the options given is that the wavelength is cut in half. This occurs because frequency and wavelength are inversely related when wave speed remains constant.
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