Question

question 9
in quantum mechanics, an orbital represents
a.the space occupied by an electron
b.the space occupied by the nucleus
c.the most probable location of an electron
d.the most probable location of the nucleus
question 10
which transition would release a photon?
a n=4 to n=6
b.n=8 to n=6
c.n=9 to n=11
d n=11 to n=13
question 11
how many orbitals are possible for the n = 2 shell?

Explanation:

Question 9

In quantum mechanics, an orbital is a mathematical function that describes the wave - like behavior of either one electron or a pair of electrons in an atom. It represents the most probable location of an electron around the nucleus. The nucleus is located at the center and electrons occupy orbitals.

When an electron transitions from a higher energy level (higher n value) to a lower energy level (lower n value), a photon is released. This is because the electron loses energy in the form of a photon. Among the given options, only the transition from n = 8 to n = 6 is from a higher to a lower energy level.

For a given principal quantum number n, the number of orbitals is given by $n^{2}$. When n = 2, the number of orbitals is $2^{2}=4$. The orbitals in the n = 2 shell include one 2s orbital and three 2p orbitals.

Answer:

C. the most probable location of an electron

Question 10