Question

The potential for a particle in a one-dimensional box is given as:
$V(x)=0$ for $0≤x≤L,$ and $V(x) = ∞$ elsewhere.
The locations of the internal nodes of the eigenfunctions $\Psi _n(x), n≥2$, are
[Given: m is an integer such that 0<m<n]

• A. $x=\frac{m+\frac1{2}}{n}L$
• B. $x=\frac{m}{n} L$
• C. $x=\frac{m}{n+1} L$
• D. $x=\frac{m+1}{n+1} L$

Answer 1

Answer: (B)

$x=\frac{m}{n} L$

Answer 2

The correct option is (B): $x=\frac{m}{n} L$