Solve the all parts of given problem:
Problem: A hydrogen atom is in the n=8 state.
Part I: What is its electron's orbital radius?
Part II: Use your answer to find the electron's de Broglie wavelength?
Part III: From your answer to part (B), determine the electron's speed?
Part IV: Compute the electron's speed using Bohr Theory, and compare with your answer to part (C).
Show all work, use additional paper if necessary.