Question

A particle of mass $m$ in an infinite potential well of width $a$ is subjected to a perturbation $V' = \frac{h^2}{40ma^2}$ as shown in the figure, where $h$ is Planck's constant.

The first-order energy shift of the fourth energy eigenstate due to this perturbation is $\frac{h^2}{Nma^2}$. The value of $N$ is ____ (in integer).

Answer 1

The correct Answer is:160 or 160 Approx