Question

There are two groups of waves with the same amplitude. One contains waves of short wavelength and the other has waves of long wave-length, Which waves have the most energy?

Answer 1

Waves with shorter wavelengths have more energy than waves with longer wavelengths, assuming they have the same amplitude, because short waves have higher frequencies.

Step-by-step explanation:

In the context of waves, it's important to understand that energy is related to both the amplitude and the frequency of the wave. However, when comparing two waves of the same amplitude, the wave with the shorter wavelength will generally have more energy because it has a higher frequency. The relationship between frequency and wavelength is inversely proportional, meaning that shorter wavelengths correspond to higher frequencies. In fact, the energy carried by a wave is directly proportional to its frequency and the square of its amplitude.

Therefore, amongst the two groups of waves with the same amplitude described, the waves with the short wavelength would have more energy due to their higher frequency. This can be likened to the effort required to move a heavy rope: it takes more energy to produce short, tight waves than to produce long, wide waves.

Answer 2

Answer:-

short wavelength

Explanation:- wavelength is directly proportional to frequency

short wavelength have higher frequency

& long wavelength have lower frequency

a higher frequency wave have more energy than a lower frequency wave with same amplitude

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