Answer:
The energy of the wave will increase by a factor of 1.21.
Explanation:
Given:
The amplitude of the ocean wave is increased by a factor of 1.1.
The energy associated with a wave depends on the amplitude of the wave.
The energy (E) is directly proportional to the square of the amplitude (A) of the wave and is expressed as:
[tex]E=kA^2\\Where\ k\to constant\ of\ proportionality[/tex]
So, if the amplitude is doubled, then the energy will become 4 times and if the amplitude is halved, then the energy reduced by a factor of one by four.
Here, the amplitude is increased by a factor of 1.1. So, the energy associated with it will increase by a factor of square of 1.1 which is given as:
[tex]Increase\ in\ Energy=(1.1)^2=1.21\ of\ the\ initial\ value[/tex]
Therefore, the energy of the wave will increase by a factor of 1.21.
