In a ripple-tank demonstration, a vibrating probe is used to generate water waves of different frequencies while the depth of water is kept constant. Two sets of observations are recorded:
• Set I: frequency f1=15Hz produces wavelength λ1=2.4cm.
• Set II: frequency f2=20Hz produces an unknown wavelength λ2.
Using these data, answer the following:
(a) Assuming the wave speed is the same in both sets, calculate its value.
(b) Determine the wavelength λ2 corresponding to Set II.
(c) Predict the wavelength that would be obtained if the generator frequency were adjusted to 12Hz.
(d) Explain, with reference to your results, why the product of wavelength and frequency is expected to remain constant for water waves in the tank at a fixed depth.