As we know that energy of wave depends on amplitude as per following relation
[tex]E = kA^2[/tex]
here we know that
k = constant
A = amplitude of wave
here we know that amplitude is doubled
so here as per above formula the energy of wave will increase by 4 times
as we know that
[tex]E = k(2A)^2[/tex]
so energy is 4 times of initial value