Question

An electron in an atom can be in one of ___ unique quantum states with the principle quantum number n = 3 and angular momentum quantum number l = 1

a: 18
b: 3
c: 10
d: 6
e: 8

A beam of mono-energetic electrons are directed toward a wall with two separate slits (A and B). A sheet of film placed on the other side of the slits records the positions of the electrons that pass through the slits (aka the electron diffraction pattern). Which of the following is correct?

a: Detecting the passing of electrons at one of the slits does not affect the electron diffraction pattern on the film.
b: None of these are correct.
c: Electrons going through A interfere with other electrons going through B to produce the diffraction pattern.
d: Each electron goes through one slit or the other but not both.
e: The diffraction pattern is different if only one electron per minute is directed toward the slits.

Answer 1

For n =3 and l = 1

There are 2l+1 allowed states are possible. There are 3 states. Option b is correct