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Atomic and Molecular Structure question

2022 · Q28
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Atomic and Molecular Structure question

2022 · Q28

IIT JAMChemistryAtomic and Molecular StructureMCQ+2 / −0.67
The potential for a particle in a one-dimensional box is given as: V(x)=0V(x) = 0V(x)=0 for 0≤x≤L0 \le x \le L0≤x≤L, and V(x)=∞V(x) = \inftyV(x)=∞ elsewhere. The locations of the internal nodes of the eigenfunctions ψn(x)\psi_n(x)ψn​(x), n≥2n \ge 2n≥2, are [Given: mmm is an integer such that 0<m<n0 \lt m \lt n0<m<n]
  1. A
    x=m+12nLx = \frac{m + \frac{1}{2}}{n} Lx=nm+21​​L
  2. B
    x=mnLx = \frac{m}{n} Lx=nm​L
  3. C
    x=mn+1Lx = \frac{m}{n+1} Lx=n+1m​L
  4. D
    x=m+1n+1Lx = \frac{m+1}{n+1} Lx=n+1m+1​L
View written solutionFree

Correct answer: B

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