What is the maximum number of orbitals that can be identified with the following quantum numbers n 3 l 1 ml 0 1 b2 c3 D 4?

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University of British Columbia

The ejection of the photoelectron from the silver metal in the photoelectric effect experiment can be stopped by applying the voltage of 0.35 V when the radiation 256.7 nm is used. Calculate the work function for silver metal.

We know Energy of the incident radiation = Work function + KE of photoelectron

Work function = Energy of the incident

radiation - KE of photoelectron ..(1).Now energy of the incident radiation (E) = hv

..(2)

Substituting the values in eq. (2), we have

Energy of incident radiation

The potential applied gives the kinetic energy to the electron. Hence, the kinetic energy of the electron = 4.4 eV.Substituting the values in eq. (1), we have Work function = 4.83 eV - 0.35 eV = 4.48 eV

What is the maximum number of orbitals that can be identified with the following quantum numbers? n = 3, ℓ = 1, mℓ = 0. (Option A – 1) (Option B – 2) (Option C – 3) (Option D – 4)

Correct Answer: (Option A – 1)

Explanation:

n = 3, ℓ = 1, m = 0

Orbital is 3pz

So only one orbital can be identified with these quantum numbers.