# Worksheet: The Bohr Hydrogen Atom

In this worksheet, we will practice calculating the solutions of the wave function of particle bound states that correspond to the electrons in a hydrogen atom.

**Q5: **

Consider hydrogen in the ground state, where and all other quantum numbers equal 0. Use a value of for , the Bohr radius.

Use the derivative of the electron’s wave function to determine the radial position for which the probability density, , is a maximum. Give your answer to 3 significant figures.

- A m
- B m
- C m
- D m
- E m

Use the integral of the electron’s wave function to determine the electron’s average radial position, which is known as the expectation value of the electron’s radial position. Give your answer to 3 significant figures.

- A m
- B m
- C m
- D m
- E m