JEE MAIN - Physics (2004 - No. 61)
The total energy of particle, executing simple harmonic motion is
independent of $$x$$
$$ \propto \,{x^2}$$
$$ \propto \,x$$
$$ \propto \,{x^{1/2}}$$
Explication
At any instant the total energy is
$${1 \over 2}k{A^2} = \,\,$$ constant, where $$A=$$ amplitude
hence total energy is independent of $$x.$$
$${1 \over 2}k{A^2} = \,\,$$ constant, where $$A=$$ amplitude
hence total energy is independent of $$x.$$