Quantum Physics - Infinitely vs Finite depth quantum well

[whatphysics]

Homework Statement

Comment how the energy and wave functions of the electron would change in the case of a finite dept quantum well with the same width.

Homework Equations

The Attempt at a Solution

I feel completely clueless as how to approach! :(

* The full question can be found in the uploaded image below, thanks so much!

 

[Let'sthink]

You need to write the Schrödinger equation and look for solutions with boundary conditions. For finite well probability of existence of electron out side the well will be non-zero whereas for infinite well the probability will be zero. Wave function will be sinusoidal inside and outside it will be zero for infinite well. look up for a good reference book and work on these problems. See how Heisenberg principle is also obeyed for both of these.