Been wondering about this for a while and I hope someone can explain it. Thanks for taking the time for reading this and perhaps answering the question :-)
In my book it says: If you double the frequency of a wave, the energy gets quadrupled. Why does is it not doubled? My reason is that the amount of waves in a given time is doubled - therefore the energy is also doubled - what am I missing?
It also states: If you double the amplitude of a wave, the energy gets quadrupled. Again I don't understand why. My logic says it would be doubled and not quadrupled. If I have a wave of amplitude 1 and double the height, the area under it doubles - it does not quadruple. What am I missing?
Hope someone can help me, I have asked a lot of clever people and googled all I can.