Given below are two statements : Statement (I) : For a given shell, the total number of allowed orbitals is given by $$n^{2}$$. Statement (II) : For any subshell, the spatial orientation of the orbitals is given by -l to +l values including zero. In the light of the above statements, choose the correct answer from the options given below :

Evaluate two statements about atomic orbitals.

Statement I: For a given shell, the total number of allowed orbitals is $$n^2$$.

For shell n, the subshells are l = 0, 1, 2, ..., (n-1). Each subshell has (2l+1) orbitals.

Total = $$\sum_{l=0}^{n-1}(2l+1) = n^2$$. This is TRUE.

Statement II: For any subshell, the spatial orientation is given by -l to +l values including zero.

The magnetic quantum number $$m_l$$ ranges from -l to +l. This gives (2l+1) values representing different spatial orientations. This is TRUE.

The correct answer is Option 3: Both Statement I and Statement II are true.