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The diagram below shows a wave with its wavelength indicated in red.Which of the following would happen if the wavelength of this wave was reduced by half? A. The frequency of the wave would increase. B. The amplitude of the wave would decrease. C. The frequency of the wave would decrease. D. The amplitude of the wave would increase.

Question

The diagram below shows a wave with its wavelength indicated in red.Which of the following would happen if the wavelength of this wave was reduced by half? A. The frequency of the wave would increase. B. The amplitude of the wave would decrease. C. The frequency of the wave would decrease. D. The amplitude of the wave would increase.

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Solution

A. The frequency of the wave would increase.

Explanation: The wavelength and frequency of a wave are inversely proportional to each other. This relationship is described by the equation v = fλ, where v is the speed of the wave, f is the frequency, and λ is the wavelength. If the speed of the wave remains constant and the wavelength is reduced by half, the frequency must increase to maintain the equation's balance. Therefore, if the wavelength of the wave was reduced by half, the frequency of the wave would increase.

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