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Solve correctly please, with explanation need.

The eigenfunctions of particle-in-a-box is determined by quantum number n, as shwon below:
-√/²/2
n=1, 2, 3....
a
One of the eigenfunctions is plotted below.
y (x):
n
2|0
a
- sin (-
From the number of nodes, choose one that is most likely the eigenfunction:
2
sin (
sin (
sin (
sin (
блх
a
5пх
a
4πx
a
nTX
-)
7лx
a
a

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