A perturbation of the form \(H^{'} \;=\frac{b}{L}x\)  is added in a 1-D box having length 0 to L. The total energy of the system corrected up to first order is;

1
\(\frac{n^{2}h^{2}}{8mL^{2}}\)
2
\(\frac{b}{2}\)
3
\((\frac{n^{2}h^{2}}{8mL^{2}}+\frac{b}{2})\)
4
\((\frac{n^{2}h^{2}}{8mL^{2}}+\frac{b}{4})\)
5
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