Question

consider any ocean wave. what is the relationship between an ocean wave and the energy of that wave? (1 point) the greater the wavelength, the more kinetic energy the wave has. wave energy increases with frequency and decreases with wavelength. wave energy is directly proportional to the amplitude of the wave. wave energy decreases as the wave moves closer to shore.

Explanation:

To determine the relationship between an ocean wave and its energy, we analyze each option:

• The first option is incorrect because wave energy is not directly related to wavelength in terms of kinetic energy in this simplistic way. Wavelength and energy have a more complex relationship involving frequency (from the wave equation \( v = f\lambda \), where \( v \) is velocity, \( f \) is frequency, and \( \lambda \) is wavelength) and the energy formula for waves (like electromagnetic waves, \( E = hf \), where \( h \) is Planck's constant), but for ocean waves, the key factor for energy is amplitude.
• The second option is incorrect. For ocean waves, the energy is primarily related to the amplitude (height) of the wave, not a direct relationship with frequency and wavelength as stated. The formula for the energy of a water wave is more related to the square of the amplitude and the mass of the water involved, not a simple frequency - wavelength trade - off as in some other wave types (like electromagnetic waves) in the context of this question.
• The third option is correct. The energy of an ocean wave (more precisely, the energy carried by the wave in the water) is directly proportional to the square of the amplitude of the wave. A larger amplitude (taller wave) means more water is moving, and thus more energy is associated with the wave.
• The fourth option is incorrect. As a wave moves closer to shore, the depth of the water decreases, and the wave may break, but generally, the energy of the wave does not simply decrease as it moves towards shore. In fact, the energy can be concentrated, and the height (amplitude) of the wave can increase as it approaches the shore due to the shoaling effect (change in water depth affecting wave speed and thus wave shape and height).

Answer:

Wave energy is directly proportional to the amplitude of the wave.