Particle in a box quantum mechanics

[Pushoam]

Homework Statement

Homework Equations

The Attempt at a Solution

$E \propto n^2$

$\frac { \Delta E} E = \frac { 2n +1} {n^2}$

In the limit of large quantum number, $\frac { \Delta E} E = \frac { 2} {n}$, option (a).

 

[kuruman]

Looks good.

 

[PeroK]

That is probably the answer they are looking for. Perhaps there is a case for d). The question is phrased very sloppily.

 

[Pushoam]

Thanks.