The energy levels of a particle in a 1-D box with rigid walls is given by
En=2ma2ℏ2π2n2≡E0n2, where m is the particle's mass, a is the length of the box, n = 1,2,... is the energy quantum number. Thus, the energy of the first and the second levels can be defined as follows:
E1=E0⋅12=E0,E2=E0⋅22=4E0. Hence,
E1=4E2=44eV=1eV. Answer: 1 eV.
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