Q. 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 :
A) Both Statement I and Statement II are false
B) Statement I is true but Statement II is false
C) Both Statement I and Statement II are true
D) Statement I is false but Statement II is true
Explanation
[Solution by Dr. Abubacker] A shell $n$ has $\sum_{l=0}^{n-1}(2l+1)=n^2$ orbitals, and a subshell $l$ has $m_l=-l,\ldots,0,\ldots,+l$ i.e. $2l+1$ orientations. Both statements are true. Answer (3).
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.