(Part c is done, please do part a and b)

The wave function for an electron trapped in a one-dimensional infinite square potential well of dimension (0, L) is given as

a. Sketch the probability density function for the electron.

b. ???What are the most probable position(s) of the electron in the well?

c. ???If a photon with a wavelength of 4.12210 m is emitted when the electron relaxes back to its ground state, what is L?(100pm)

7. The wave function for an electron trapped in a one-dimensional innite square potential well of dimension (0, L) is given as 1p(x) 2 %sin (3?\" x) where 0 :1 x :1 L. a) Sketch the probability density function for the electron. b) What are the most probable position(s) of the electron in the well? e) If a photon with a wavelength of4. 1 22x 1 0"J m is emitted when the electron relaxes back to its ground state, what is L? (12 marks)