Consider the following statements. The total energy of a particle executing simple harmonic motion depends on its
$(1)$ Amplitude $(2) $ Period $(3)$ Displacement
Of these statements
Easy
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(a) $E = \frac{1}{2}m{a^2}{\omega ^2}$
$ = \frac{1}{2}m{a^2}\left( {\frac{{4{\pi ^2}}}{{{T^2}}}} \right)$
==> $E \propto \frac{{{a^2}}}{{{T^2}}}$
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