Gce Model Questions Vol1 2018 Physics Question 28

Practice objective / multiple choice question 28 from the 2018 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2018 Physics Objective / Multiple Choice Hard Difficulty
Question 28 GCE_MODEL_QUESTIONS_VOL1 • 2018 • PHYSICS • objective

A radioactive isotope \(X\) decays to \(Y\) by \(\beta\)-decay with half-life \(T_{1}=30\ \text{min}\). The daughter \(Y\) subsequently decays to a stable nucleus \(Z\) by \(\alpha\)-decay with half-life \(T_{2}=10\ \text{min}\). Initially the sample contains \(N_0 = 1.0\times10^{20}\) atoms of \(X\) and no atoms of \(Y\). Each \(\beta\) decay releases \(0.5\ \text{MeV}\) and each \(\alpha\) decay releases \(5\ \text{MeV}\). After a time of \(t = 1.0\ \text{h}\): (a) how many atoms of \(Y\) are present? (b) what is the activity of \(Y\) (in becquerels)? (c) what total energy (in joules) has been released by all decays up to that time?

Answer Options

A. N_Y = 8.0×10^18 atoms; activity = 9.0×10^15 Bq; total energy = 5.0×10^7 J
B. N_Y = 1.30×10^19 atoms; activity = 1.50×10^16 Bq; total energy = 6.2×10^7 J
Correct Answer C. N_Y = 1.17×10^19 atoms; activity = 1.35×10^16 Bq; total energy = 5.7×10^7 J
D. N_Y = 9.5×10^18 atoms; activity = 1.10×10^16 Bq; total energy = 4.9×10^7 J
Correct Answer
C
Correct Option:
N_Y = 1.17×10^19 atoms; activity = 1.35×10^16 Bq; total energy = 5.7×10^7 J

About This Question

This is Gce Model Questions Vol1 2018 Physics Question 28. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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