Question

For each of the following statements about deep-water waves, determine if the statement is true or false, then explain why: The longer the wave, the deeper the wave base. The greater the wave height, the deeper the wave base. The longer the wave, the faster the wave travels. The greater the wave height, the faster the wave travels. The faster the wave, the greater the wave height.

Answer 1

The length of a wave does not affect the depth of the wave base or the speed of the wave. The wave height does not impact the speed or length of the wave.

Step-by-step explanation:

The statement "The longer the wave, the deeper the wave base" is false. The depth of the wave base is determined by factors such as the water depth and the wave period, not the length of the wave.

The statement "The greater the wave height, the deeper the wave base" is also false. Again, the depth of the wave base is determined by factors other than the wave height.

The statement "The longer the wave, the faster the wave travels" is true. According to the equation v = f * λ, where v is the wave velocity, f is the frequency, and λ is the wavelength, the longer the wavelength, the faster the wave propagates.

The statement "The greater the wave height, the faster the wave travels" is false. The wave height does not affect the speed of the wave.

The statement "The faster the wave, the greater the wave height" is also false. The speed of a wave does not determine its height.