Question

The total number of orbitals associated with the principal quantum number 5 is:
A. 25
B. 5
C. 10
D. 20

Answer 1

Hint: The Bohr model was a one-dimensional model that pre-owned one quantum number to portray the dissemination of electrons in the atom. The main data that was significant was the size of the orbit, which was portrayed by the\[n\] quantum number.

Step by step answer: The three quantum numbers (\[n,l,m\]) that describe an orbital are integers: 0, 1, 2, 3, and so on. The principal quantum number (\[n\]) cannot be zero. The allowed values of \[n\]are therefore 1, 2, 3, 4, and so on. The angular quantum number (l) can be any integer between 0 and \[n-1\].
Orbitals are spaces that have a high probability of containing an electron. In other words, an orbital is an area where the electrons live. There can be two electrons in one orbital maximum. The s sublevel has just one orbital, so can contain 2 electrons max.
The number of orbitals associated with the principal quantum number \[n\]is \[{{N}^{2}}={{5}^{2}}=25\].
The total number of orbitals associated with the principal quantum number 5 is 25.

Hence the correct option is A. 25.

Additional Information: To completely describe an electron in an atom, four quantum numbers are needed: energy, angular momentum, magnetic moment, and spin. The first quantum number describes the electron shell, or energy level, of an atom.

Note: The principal quantum number just designates the size of the orbital or energy level, the angular momentum quantum number specific the shape of the orbital, the magnetic quantum number shows the orientation or position of the orbital, and the spin quantum number indicates the spin of the electron.