4) Consider a particle in a 1D box in its ground state such that Þ(x) = Bsin (*) where Bis a constant and Lis the length of the box i) Calculate P1 Where P1 is the probability of finding the particle inside a small "volume" element dx atposition x = L/2, and P2 is the probability of finding the particle inside a small "volume" element dx at position x = L/20 %3D

Principles of Modern Chemistry
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Chapter5: Quantum Mechanics And Atomic Structure
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4) Consider a particle in a 1D box in its ground state such that
Þ(x)
= Bsin
where Bis a constant and Lis the length of the box
i)
P1
Calculate
P2
Where P, is the probability of finding the particle inside a small "volume" element dx
atposition x = L/2, and P2 is the probability of finding the particle inside a small "volume"
element dx at position x = L/20
ii)
Briefly discuss the significance of your result for part i).
Transcribed Image Text:4) Consider a particle in a 1D box in its ground state such that Þ(x) = Bsin where Bis a constant and Lis the length of the box i) P1 Calculate P2 Where P, is the probability of finding the particle inside a small "volume" element dx atposition x = L/2, and P2 is the probability of finding the particle inside a small "volume" element dx at position x = L/20 ii) Briefly discuss the significance of your result for part i).
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