In the context of waves, energy is primarily related to amplitude and frequency. Let's go through the provided statements to clarify the differences in energy between Wave A and Wave B.
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Wave B has more energy than Wave A because the frequency of Wave B is greater.
This statement is only true if Wave B indeed has a higher frequency. However, if the only distinguishing feature between the two waves is their height (amplitude) and not their frequency, then this statement would not apply. -
Wave B has more energy: the amplitude of Wave B is double that of Wave A.
This statement is likely accurate if we can assume that Wave B's amplitude is indeed double that of Wave A. Wave energy is proportional to the square of the amplitude, meaning if the amplitude (height) of Wave B is double that of Wave A, Wave B can carry four times the energy of Wave A (since \(E \propto A^2\)). -
Wave A has more energy than Wave B because the wavelength of Wave A is greater.
This statement is incorrect in the context of comparing energies based solely on amplitude and does not relate directly to their energy. Generally, a longer wavelength does not imply higher energy. -
Wave energy is directly proportional to frequency and wavelength; therefore Wave A has more energy.
This statement is misleading. Energy is proportional to frequency (higher frequency means more energy), but it is also inversely related to wavelength (longer wavelength means lower energy). The assertion that Wave A has more energy based on these parameters does not hold if we are specifically comparing amplitudes.
In conclusion, if we focus on the provided descriptions and neglect frequency or wavelength variations, the claim that "Wave B has more energy: the amplitude of Wave B is double that of Wave A" is the most accurate.
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