Gce Model Questions Vol1 2022 Physics Question 49

Practice objective / multiple choice question 49 from the 2022 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2022 Physics Objective / Multiple Choice Hard Difficulty
Question 49 GCE_MODEL_QUESTIONS_VOL1 • 2022 • PHYSICS • objective

A hydrogen atom moving away from an observer emits a photon corresponding to a transition in the Balmer series. The wavelength measured by the observer is \(410\ \text{nm}\), which is \(0.5\%\) longer than the wavelength in the atom's rest frame. (i) Determine the rest‑frame wavelength of the transition. (ii) Identify the initial and final principal quantum numbers \((n_i,n_f)\) of the transition. (iii) Calculate the speed \(v\) of the atom as a fraction of the speed of light \(c\). Give all numerical answers to three significant figures.

Answer Options

A. λ₀ ≈ 408 nm, transition 5→2, v = 0.00450 c (≈1.35×10⁶ m s⁻¹)
Correct Answer B. λ₀ ≈ 409 nm, transition 6→2, v = 0.00500 c (≈1.50×10⁶ m s⁻¹)
C. λ₀ ≈ 409 nm, transition 7→2, v = 0.00600 c (≈1.80×10⁶ m s⁻¹)
D. λ₀ ≈ 410 nm, transition 6→3, v = 0.00550 c (≈1.65×10⁶ m s⁻¹)
Correct Answer
B
Correct Option:
λ₀ ≈ 409 nm, transition 6→2, v = 0.00500 c (≈1.50×10⁶ m s⁻¹)

About This Question

This is Gce Model Questions Vol1 2022 Physics Question 49. It is one of the objective questions from the 2022 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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