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Atomic and Molecular Structure question

2017 · Q30

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IIT JAM
Chemistry
Atomic and Molecular Structure
2017 · Q30

Atomic and Molecular Structure question

2017 · Q30

IIT JAMChemistryAtomic and Molecular StructureMCQ+2 / −0.67

For a particle in one-dimensional box of length

L

with potential energy

V(x) = 0

for

L \gt x \gt 0

and

V(x) = \infty

for

x \ge L

and

x \le 0

, an acceptable wave function consistent with the boundary conditions is (A, B, C and D are constants)

A
$A \cos \left( \frac{n\pi x}{L} \right)$
B
$B(x + x^2)$
C
$C x^3 (x - L)$
D
$\frac{D}{\sin \left( \frac{n\pi x}{L} \right)}$

View written solutionFree

Correct answer: C

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