Question

Problem 2.7 An electron is confined inside a potential well with infinite walls. The width of the well is W = 5 nm. What is the probability of finding the electron within 1 nm from either wall, if the electron is at

(a) the lowest energy level
(b) the second-lowest energy level A

Ans: a) P = 0.10 B) P = 0.31

Answer 1

Solution:

Given that W=5nm.

Energy level in infinte well is given by

Where

n = quantum no. associated with nth energy level

m* = effect mass of particle

h = planck's constant

Lx = width of well

a)

The lowest energy level:

b)

The second lowest energy level:

Put n=2