A particle in the first excited state of a one-dimensional infinite potential energy well (with U = 0 inside the well) has an energy of 6.0 eV. What is the energy of this particle in the ground state?

The energy of this particle in the ground state is E₁=1.5 eV.

Explanation:

The energy of a particle of mass m in the nth energy state of an infinite square well potential with width L is:

In the ground state (n=1). In the first excited state (n=2) we are told the energy is E₂= 6.0 eV. If we replace in the above equation we get that:

So we can rewrite the energy in the ground state as:

Finally

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explanation:

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this