Gce Model Questions Vol1 2023 Physics Question 25

Practice objective / multiple choice question 25 from the 2023 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2023 Physics Objective / Multiple Choice Hard Difficulty
Question 25 GCE_MODEL_QUESTIONS_VOL1 • 2023 • PHYSICS • objective

A sample initially contains \(2.0\times10^{6}\) atoms of a radioactive isotope X. X decays to Y with a half‑life of \(30\) min, emitting a beta particle of kinetic energy \(0.5\) MeV. The daughter Y is itself radioactive, decaying to a stable nuclide Z with a half‑life of \(10\) min and emitting a gamma photon of energy \(1.2\) MeV. No other isotopes are present initially. Determine (a) the activity of X after \(45\) min, (b) the number of atoms of Y present at that time, and (c) the total energy (in joules) released by all decays (both beta and gamma) up to \(45\) min.

Answer Options

A. (a) Activity of X ≈ 1.8×10² Bq. (b) Number of Y atoms ≈ 2.0×10⁵. (c) Total energy released ≈ 1.5×10⁻⁷ J.
Correct Answer B. (a) Activity of X ≈ 2.7×10² Bq. (b) Number of Y atoms ≈ 3.1×10⁵. (c) Total energy released ≈ 2.9×10⁻⁷ J.
C. (a) Activity of X ≈ 3.5×10² Bq. (b) Number of Y atoms ≈ 4.2×10⁵. (c) Total energy released ≈ 3.6×10⁻⁷ J.
D. (a) Activity of X ≈ 2.0×10² Bq. (b) Number of Y atoms ≈ 2.5×10⁵. (c) Total energy released ≈ 2.0×10⁻⁷ J.
Correct Answer
B
Correct Option:
(a) Activity of X ≈ 2.7×10² Bq. (b) Number of Y atoms ≈ 3.1×10⁵. (c) Total energy released ≈ 2.9×10⁻⁷ J.

About This Question

This is Gce Model Questions Vol1 2023 Physics Question 25. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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