if the zero point energy of one dimensional harmonic oscillator is 5.25×10^-27 J then the energy of second excited state is
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zero point energy.
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It is the energy that remains in a system even when it's at its lowest possible energy state, which is typically at absolute zero temperature. Zero point energy refers to the lowest possible energy that a quantum mechanical physical system may have. At low temperatures, most of the oscillators are in the state of zero point energy (hv/2). They execute zero point oscillations and not thermal oscillations.