The frequency of a wave is directly proportional to its wavelength. This means that if the wavelength is cut to a third, the frequency will be tripled to maintain the same wave speed.
The formula that relates the frequency, wavelength, and wave speed is:
Wave speed = frequency x wavelength
Since the wave speed is a constant, if the wavelength is cut to a third, the frequency will be tripled to keep the wave speed constant.
So, if the original frequency is 8 Hz, the new frequency will be:
New frequency = 3 x 8 Hz = 24 Hz
Therefore, the new frequency is 24 Hz.