Gce Model Questions Vol1 2017 Physics Question 9

Practice objective / multiple choice question 9 from the 2017 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2017 Physics Objective / Multiple Choice Hard Difficulty
Question 9 GCE_MODEL_QUESTIONS_VOL1 • 2017 • PHYSICS • objective

A \(1.00\,\text{g}\) sample of the radioactive isotope \(^{238}\text{U}\) (half‑life \(T_{A}=4.5\times10^{9}\,\text{yr}\)) decays to \(^{234}\text{Th}\), which in turn decays to a stable nuclide with half‑life \(T_{B}=1.0\times10^{5}\,\text{yr}\). Initially the sample contains only \(^{238}\text{U}\). After a period of \(2.0\times10^{5}\,\text{yr}\):\n\n(i) What is the activity of the daughter nuclide \(^{234}\text{Th}\) (in becquerels, to two significant figures)?\n\n(ii) What fraction of the original \(^{238}\text{U}\) atoms have decayed by that time? Express your answer in scientific notation to two significant figures.

Answer Options

A. Activity = 8.5×10^3 Bq; fraction decayed = 2.8×10⁻⁵
Correct Answer B. Activity = 9.3×10^3 Bq; fraction decayed = 3.1×10⁻⁵
C. Activity = 1.0×10^4 Bq; fraction decayed = 3.5×10⁻⁵
D. Activity = 9.3×10^2 Bq; fraction decayed = 3.1×10⁻⁴
Correct Answer
B
Correct Option:
Activity = 9.3×10^3 Bq; fraction decayed = 3.1×10⁻⁵

About This Question

This is Gce Model Questions Vol1 2017 Physics Question 9. It is one of the objective questions from the 2017 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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