Question

TUTOR Quantum Numbers 1 pt Wave functions describe orbitals in a hydrogen atom. Each function is characterized by 3 quantum numbers: n, I, and my If the value of n = 4: The quantum number I can have values from to The total number of orbitals possible at the n-4 energy level is 1 pt If the value of 1-3: The quantum number m/ can have values from The total number of orbitals possible at the 1 - 3 sublevel is 1 pt 1 pt Submit Show Approach Show Tutor Steps 1 pt

Answer 1

-:Solution:-

If the value of n= 4:

The quantum no. l can have value from 0 to 3 (i.e. 0, 1, 2, 3).

The total no. of orbitals possible at the n = 4 energy level is 16.

(Calculation: Total no. of orbital = $\Sigma$ (2l+1) = (2*0+1) + (2*1+1) + (2*2+1) + (2*3+1) = 16)

If the value of l = 3:

The quantum no. ml can have value from -3 to +3. (i.e. -3, -2, -1, 0, +1, +2, +3).

The total no. of orbitals possible at the l = 3 sublevel is 7.