Answer:
1.21 times
Explanation:
The energy of a wave is proportional to the square of the amplitude of the wave.
Mathematically:
[tex]E\propto A^2[/tex]
where
E is the energy of the wave
A is its amplitude
In this problem, the amplitude of the wave increases by a factor of 1.1; it means that the new amplitude can be written as
[tex]A'=1.1 A[/tex]
Therefore, this means that the energy of the wave increases by a factor:
[tex]E'\propto A'^2=(1.1 A)^2 = 1.1^2 A^2 =1.21 A^2 = 1.21 E[/tex]
Therefore, the energy of the wave increases by a factor 1.21.
