Gce Model Questions Vol1 2018 Physics Question 32

Practice objective / multiple choice question 32 from the 2018 Gce Model Questions Vol1 Physics examination.

Gce Model Questions Vol1 2018 Physics Objective / Multiple Choice Hard Difficulty
Question 32 GCE_MODEL_QUESTIONS_VOL1 • 2018 • PHYSICS • objective

A 2.00 g sample of the radioactive isotope \(X\) (atomic mass 240 g mol\(^{-1}\)) decays by \(\alpha\) emission with a half‑life of 5.0 years, releasing 5.0 MeV per decay. After 12 years the sample is chemically processed to isolate the daughter isotope \(Y\), which is a \(\beta\) emitter with a half‑life of 2.0 years and releases 1.0 MeV per decay. The extracted \(Y\) is then allowed to decay completely. Using \(1\,\text{eV}=1.602\times10^{-19}\) J and Avogadro's number \(N_A=6.022\times10^{23}\) mol\(^{-1}\), calculate the total energy released (in joules) by the decays of \(X\) during the 12 years and by the subsequent complete decay of \(Y\).

Answer Options

A. 5.1×10^9 J
B. 2.5×10^9 J
C. 1.2×10^9 J
Correct Answer D. 3.9×10^9 J
Correct Answer
D
Correct Option:
3.9×10^9 J

About This Question

This is Gce Model Questions Vol1 2018 Physics Question 32. It is one of the objective questions from the 2018 Gce Model Questions Vol1 Physics examination.

Difficulty level: Hard .

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