Consider the following statements :
The total energy of a particle executing simple harmonic motion depends on its
I) amplitude II) period III) displacement 

Which of these statement(s) are correct.

Potential energy of particle in SHM $\mathrm{U}=\frac{1}{2}{\mathrm{m\omega }}^2{\mathrm{x}}^2$

or $\mathrm{U}=\frac{1}{2}\mathrm{m}{\left(2\mathrm{\pi f}\right)}^2{\mathrm{x}}^2 \mathrm{or} \mathrm{U}=2{\mathrm{\pi }}^2{\mathrm{mf}}^2{\mathrm{x}}^2....\left(\mathrm{i}\right)$

Kinetic energy of particle in SHM

$\mathrm{K}=\left(\frac{1}{2}\right){\mathrm{m\omega }}^2\left({\mathrm{A}}^2-{\mathrm{x}}^2\right) \mathrm{or} \mathrm{K}=2{\mathrm{\pi }}^2{\mathrm{mf}}^2\left({\mathrm{A}}^2-{\mathrm{x}}^2\right) ....\left(\mathrm{ii}\right)$

Hence, total energy 

$\mathrm{E}=\mathrm{K}+\mathrm{U}=2{\mathrm{\pi }}^2{\mathrm{mf}}^2{\mathrm{x}}^2+2{\mathrm{\pi }}^2{\mathrm{mf}}^2\left({\mathrm{A}}^2-{\mathrm{x}}^2\right)=2{\mathrm{\pi }}^2{\mathrm{mf}}^2{\mathrm{A}}^2$$=\frac{2{\mathrm{\pi }}^2{\mathrm{mA}}^2}{{\mathrm{T}}^2}\left(\because \mathrm{T}=\frac{1}{\mathrm{f}}\right)$