Which wave has the largest energy density, a-wave or u-wave?

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In comparing two waves with the same intensity but different frequencies, the higher frequency wave (a-wave) generally has more energy due to the relationship E=h*f, where E is energy and f is frequency. For electromagnetic waves, energy density is independent of frequency, but for mechanical waves like sound or water, higher frequencies correlate with greater kinetic energy in the medium. The total energy can also depend on the duration of the waves; a longer-lasting low-frequency wave could potentially have more total energy despite its lower frequency. Therefore, while frequency plays a significant role in energy density, the type of wave and its duration are also crucial factors. Understanding these dynamics is essential for accurately assessing energy in wave phenomena.
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If 2 waves have the exact same intensity/magnitude. But one's frequency(lets call this a-wave) is double the other's frequency(u-wave). Which has the largest total energy? Or does it matter what type of wave it is?
 
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Generally the higher frequency wave will have more energy and, yes, the details depend on the type of wave.
 
munky99999 said:
If 2 waves have the exact same intensity/magnitude. But one's frequency(lets call this a-wave) is double the other's frequency(u-wave). Which has the largest total energy? Or does it matter what type of wave it is?

For electromagnetic waves, the intensity is <br /> \frac{E_{rms}^2}{c \mu_0}<br />

so the energy is independent of frequency as long as c and u0 are independent of frequency.

However, as the frequency goes up, the energy will arrive in larger "packets" given by E=h*f.

I don't know the equations for water or sound waves offhand.
 
For water and sound waves the energy will be related to the maximum kinetic energy of the medium which is clearly greater for higher frequency waves than lower given equal amplitudes.
 
munky99999 said:
If 2 waves have the exact same intensity/magnitude. But one's frequency(lets call this a-wave) is double the other's frequency(u-wave). Which has the largest total energy? Or does it matter what type of wave it is?

Strictly speaking, you should probably be speaking of energy density. If the low frequency waves lasts much longer, it could have more "total energy". But I think your point came across.
 
So I know that electrons are fundamental, there's no 'material' that makes them up, it's like talking about a colour itself rather than a car or a flower. Now protons and neutrons and quarks and whatever other stuff is there fundamentally, I want someone to kind of teach me these, I have a lot of questions that books might not give the answer in the way I understand. Thanks
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