How much do you have to increase the amplitude of a wave to cause its energy to quadruple?
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Answer:
Just two times.
Explanation:
It is generally true that
E
∝
A
2
where E is the energy carried by the wave and A is the amplitude.
This is taken into account as many of the common scales for measuring wave energy (Richter, Decibel, Beaufort etc) include some kind of logarithmic factor.
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