Gce Model Questions Vol1 2024 Physics Question 32

Practice objective / multiple choice question 32 from the 2024 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2024 Physics Objective / Multiple Choice Hard Difficulty
Question 32 GCE_MODEL_QUESTIONS_VOL1 • 2024 • PHYSICS • objective

An unknown sample of a radioactive isotope X decays by emitting an \(\alpha\)-particle that releases \(5.0\ \text{MeV}\) of energy per decay. The half‑life of X is \(5\ \text{min}\). After \(10\ \text{min}\) of decay, the activity of the sample is measured to be \(2.0\times10^{6}\ \text{Bq}\). Determine (a) the initial number of nuclei present in the sample, and (b) the total energy released up to that time in joules.

Answer Options

A. N₀ ≈ 3.00×10⁹ nuclei; total energy ≈ 1.90×10⁻³ J
B. N₀ ≈ 4.10×10⁹ nuclei; total energy ≈ 2.45×10⁻³ J
Correct Answer C. N₀ ≈ 3.46×10⁹ nuclei; total energy ≈ 2.08×10⁻³ J
D. N₀ ≈ 2.90×10⁹ nuclei; total energy ≈ 1.75×10⁻³ J
Correct Answer
C
Correct Option:
N₀ ≈ 3.46×10⁹ nuclei; total energy ≈ 2.08×10⁻³ J

About This Question

This is Gce Model Questions Vol1 2024 Physics Question 32. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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