Explanation:
(a) The Schrodinger's wave function represent the position of a particle at a particular instant of time. It is also known as the probability amplitude. It is also used to find the location of a particle.
(b) The width of a potential well, [tex]l=5\ A=5\times 10^{10}\ m[/tex]
For first energy level, n = 1
Energy in infinite potential well is given by :
[tex]E=\dfrac{n^2h^2}{8ml}[/tex]
[tex]E=\dfrac{(1)^2\times (6.63\times 10^{-34})^2}{8\times 9.1\times 10^{-31}\times 5\times 10^{10}}[/tex]
E = 0.0120 Joules
For second energy level, n = 2
[tex]E=\dfrac{n^2h^2}{8ml}[/tex]
[tex]E=\dfrac{(2)^2\times (6.63\times 10^{-34})^2}{8\times 9.1\times 10^{-31}\times 5\times 10^{10}}[/tex]
E = 0.0483 Joules
For third energy level, n = 3
[tex]E=\dfrac{n^2h^2}{8ml}[/tex]
[tex]E=\dfrac{(3)^2\times (6.63\times 10^{-34})^2}{8\times 9.1\times 10^{-31}\times 5\times 10^{10}}[/tex]
E = 0.108 Joules
Hence, this is the required solution.
