# 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 Â± 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 10â»Â²â·kg, 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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