concepts of special relativity and quantum mechanics and solve related problems 1

Solve the following problems. You must show all work. Submit in a word Document.
Question 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?
Question 2
The energy of the first excited state of a hydrogen atom is -0.34 eV ± 0.0003 eV. What is the average lifetime for this state?
Question 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?
Question 4
For n=5, l = 4, what are the possible values of ml and ms?
Question 5
Draw the ground state energy level diagrams for nitrogen (N) and potassium (K).
Question 6
Calculate the magnitude of the angular momentum of an electron in the n = 7, l = 5 state of hydrogen.
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