Final answer:
Tripling the frequency of a wave while keeping the velocity constant will result in a wavelength that is one third of its original value due to the inverse relationship between frequency and wavelength.
Step-by-step explanation:
If you triple the frequency of a wave while keeping the velocity constant, the wavelength of the wave will decrease. This is because the relationship between the velocity (v), frequency (f), and wavelength (λ) of a wave is defined by the equation v = fλ. The velocity of the wave remains constant, so when the frequency is increased, the wavelength must decrease to maintain this relationship. Therefore, if the frequency is tripled, the wavelength will be one third of its original value.