Neco Model Questions Vol1 2022 Physics Question 4

Practice objective / multiple choice question 4 from the 2022 Neco Model Questions Vol1 Physics examination.

Neco Model Questions Vol1 2022 Physics Objective / Multiple Choice Hard Difficulty
Question 4 NECO_MODEL_QUESTIONS_VOL1 • 2022 • PHYSICS • objective

A hydrogen‑like ion of atomic number \(Z = 3\) (i.e., \(\mathrm{Li}^{2+}\)) has its single electron in the orbit \(n = 4\). (a) Calculate the radius of this orbit (in ångströms). (b) Find the wavelength of the photon emitted when the electron makes a transition from \(n = 4\) to \(n = 2\). Use the Bohr model with \(a_0 = 0.529\) Å and \(13.6\) eV as the hydrogen ground‑state energy. Give the wavelength in nanometres to two decimal places.

Answer Options

A. r = 2.12 Å, λ = 48.30 nm
Correct Answer B. r = 2.82 Å, λ = 54.07 nm
C. r = 3.55 Å, λ = 62.10 nm
D. r = 2.82 Å, λ = 45.00 nm
Correct Answer
B
Correct Option:
r = 2.82 Å, λ = 54.07 nm

About This Question

This is Neco Model Questions Vol1 2022 Physics Question 4. It is one of the objective questions from the 2022 Neco Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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