Igcse Model Questions Vol1 2022 Physics Question 3

Practice objective / multiple choice question 3 from the 2022 Igcse Model Questions Vol1 Physics examination.

Igcse Model Questions Vol1 2022 Physics Objective / Multiple Choice Hard Difficulty
Question 3 IGCSE_MODEL_QUESTIONS_VOL1 • 2022 • PHYSICS • objective

A radioactive sample contains two isotopes, A and B, that decay independently. Isotope A has a half‑life of \(30\) min and an initial activity of \(800\) Bq. Isotope B has a half‑life of \(2\) h and an unknown initial activity. After exactly \(1\) h the total activity of the sample is measured to be \(500\) Bq.\n\n(a) Determine the initial activity of isotope B (in Bq).\n(b) Using the decay constant of B, calculate the number of atoms of B present initially. (Take \(\lambda =\ln 2 / t_{1/2}\) and \(A = \lambda N\).)

Answer Options

A. Initial activity of B ≈ 500 Bq; initial number of atoms of B ≈ 5.2×10⁶
B. Initial activity of B ≈ 600 Bq; initial number of atoms of B ≈ 6.3×10⁶
Correct Answer C. Initial activity of B ≈ 424 Bq; initial number of atoms of B ≈ 4.4×10⁶
D. Initial activity of B ≈ 350 Bq; initial number of atoms of B ≈ 3.6×10⁶
Correct Answer
C
Correct Option:
Initial activity of B ≈ 424 Bq; initial number of atoms of B ≈ 4.4×10⁶

About This Question

This is Igcse Model Questions Vol1 2022 Physics Question 3. It is one of the objective questions from the 2022 Igcse Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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