The potential for a particle in a one-dimensional box is given as: $V(x) = 0$ for $0 \leq x \leq L$, and $V(x) = \infty$ elsewhere. The locations of the internal nodes of the eigenfunctions $\psi_n(x)$, $n \geq 2$, are [Given: m is an integer such that $0 < m < n$]
(a)$x = \frac{m + \frac{1}{2}}{n}L$
(b)$x = \frac{m}{n}L$
(c)$x = \frac{m}{n+1}L$
(d)$x = \frac{m+1}{n+1}L$
Answer
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