How many atomic orbitals are there in the g subshell ?

The g-subshell doesn't exist in the context of atomic orbitals. The letters s, p, d, f, etc., represent the different types of atomic orbitals, where each letter corresponds to a specific angular momentum quantum number (l). The s-subshell has 1 orbital, the p-subshell has 3 orbitals, the d-subshell has 5 orbitals, and the f-subshell has 7 orbitals.

The angular momentum quantum number (l) can have integer values from 0 to n-1, where n is the principal quantum number. Therefore, the number of orbitals in a given subshell is 2*l + 1.

For the g-subshell, l would need to be greater than 3, which is not a valid value. The maximum values of l for the first few principal quantum numbers (n) are as follows:

n = 1: l can only be 0 (s-subshell)
n = 2: l can be 0 or 1 (s- and p-subshells)
n = 3: l can be 0, 1, or 2 (s-, p-, and d-subshells)
n = 4: l can be 0, 1, 2, or 3 (s-, p-, d-, and f-subshells)
As you can see, there's no "g-subshell" defined within this framework.