Quantum Mechanics of Atoms

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1) What is the minimum uncertainty in the velocity of an electron that is known to be somewhere between 0.050 nm and 0.10 nm from a proton?

2) The energy of the first excited state of a hydrogen atom is -0.34 eV ± 0.0003 eV. What is the average lifetime of for this state?

3) Knowing that a free neutron has a mean life of 900 s and a mass of m = 1.67 x 10^-27kg, what is the uncertainty in its mass in kg?

4) For n = 5, l = 4, what are the possible values of and m_l and m_s?

5) Draw the ground state energy level diagrams for nitrogen (N) and potassium (K).

6) Calculate the magnitude of the angular momentum of an electron in the n = 7, l= 5 state of hydrogen.