Consider the following statements :
(A) The principal quantum number 'n' is a positive integer with values of 'n' = 1, 2, 3, ………
(B) The azimuthal quantum number for a given orbit 'n' ,can have a total of (n-1) values
(C) Magnetic orbital quantum number 'm_l' for a particular 'l' (azimuthal quantum number) has (2l + 1) values.
(D) $土$ 1 / 2 are the two possible orientations of electron spin.
(E) For l = 5, there will be a total of 9 orbitals
Which of the above statements are correct?

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(A), (B) and (C)

(A), (C) and (D)

(A), (C), (D) and (E)

(A), (B), (C) and (D)

answer is C.

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Detailed Solution

Let us consider all the options

(A) Number of values of n = 1, 2, 3 … $\infty$

(B) Number of values of $ℓ = 0 to (n - 1)$ ,but total values of l for an orbit will be equal to n

Total values $= 2 ℓ + 1$

(D) Values of spin $= \pm \frac{1}{2}$

(E) For $ℓ = 5$ number of orbitals $= 2 ℓ + 1 = 11$

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