Question:
A particle moving along the x-axis approaches π₯=0 from π₯ =ββ with a total energy E. It is subjected to a potential π(π₯). For time π‘ββ, the probability density P(x) of the particle is schematically shown in the figure.
The correct option for the potential π(π₯) is:
A particle moving along the x-axis approaches π₯=0 from π₯ =ββ with a total energy E. It is subjected to a potential π(π₯). For time π‘ββ, the probability density P(x) of the particle is schematically shown in the figure.
The correct option for the potential π(π₯) is:
The correct option for the potential π(π₯) is:
Updated On: Jan 12, 2025
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The Correct Option is C
Solution and Explanation
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 particleβs behavior.
Option (C) matches the required potential shape.
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