(a) Write the final normalized ground-state wave function for a particle confined to a one- dimensional (1D) box of length L. (b) If the box is 10.0 nm long, calculate the ground state probability of finding the particle in between 4.95 nm and 5.05 nm range of the box. (c) If the particle is an electron, then what is its ground state energy that is confined to such a one-dimensional box 10.0 nm wide?

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(a)
Write the final normalized ground-state wave function for a particle confined to a one-
dimensional (1D) box of length L.
(b)
If the box is 10.0 nm long, calculate the ground state probability of finding the particle
in between 4.95 nm and 5.05 nm range of the box.
(c)
If the particle is an electron, then what is its ground state energy that is confined to such
a one-dimensional box 10.0 nm wide?
Transcribed Image Text:(a) Write the final normalized ground-state wave function for a particle confined to a one- dimensional (1D) box of length L. (b) If the box is 10.0 nm long, calculate the ground state probability of finding the particle in between 4.95 nm and 5.05 nm range of the box. (c) If the particle is an electron, then what is its ground state energy that is confined to such a one-dimensional box 10.0 nm wide?
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