Question

6. The Eigen value of a particle in a box is
a) L/2.
b) 2/L
C) 1/2
d) 12/L
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Answer 1

The Eigenvalue of a particle in a box is L/2.

Option (a) is correct.

Explanation:

• The presence of a particle in a box in the application of the Schrodinger wave equation.
• The value of the two endpoints are x = 0 and x = L.
• If the particle is found at the infinite position in the box it would have infinite potential energy.
• The value of the general equation derived from the Schrodinger wave equation is L/2.