Question

A particle moving along the x-axis approaches 𝑥=0 from 𝑥 =−∞ with a total energy E. It is subjected to a potential 𝑉(𝑥). For time 𝑡→∞, the probability density P(x) of the particle is schematically shown in the figure.

The correct option for the potential 𝑉(𝑥) is:

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is C

For a particle moving through a potential with a given energy, the probability density \( P(x) \) represents the likelihood of finding the particle at a given position. The potential that produces the required probability distribution in the figure should have the corresponding characteristics based on the energy \( E \) and the nature of the particle’s behavior.

Option (C) matches the required potential shape.