Question

(a) How many sub-shells are associated with n = 4? (b) How many electrons will be present in the sub-shells having m_s value of –1/2 for n = 4?

Answer 1

(a) n = 4 (Given)

For a given value of ‘n’, ‘l’ can have values from zero to (n – 1).

∴ l = 0, 1, 2, 3

Thus, four sub-shells are associated with n = 4, which are s, p, d and f.

(b) Number of orbitals in the n^th shell = n²

For n = 4

Number of orbitals = 16

If each orbital is taken fully, then it will have 1 electron with m_s value of.

∴ Number of electrons with m_s value of is 16.