Here, we need to use the equation for one dimensional box
E = n2h2 / 8mL2
L is width of box, m is mass of charge, h is Planck's constant
SO,
for electron, lowest energy energy, n = 1
E = 6.63e-342 / 8 * 9.1e-31 * 0.397e-92
E = 3.831e-19 J
E = 2.39 eV
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For proton,
E = 6.63e-342 / 8 * 1.67e-27 * 1.01e-142
E = 2.0128 MeV
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