iGCSE Physics (0625) 5.2.4 Half-life Paper 3 -Exam Style Questions- New Syllabus
Question
(a) U-235 and U-238 are isotopes of uranium. Fig. 10.1 shows the nuclide notation for U-235 and for U-238.

(i) Compare the number of protons in one nucleus of U-235 with the number of protons in one nucleus of U-238.
(ii) Compare the number of neutrons in one nucleus of U-235 with the number of neutrons in one nucleus of U-238.
(b) A sample contains another isotope of uranium. The half-life of this isotope is 24 minutes. Calculate the time taken for the mass of this isotope in the sample to decay from 16.0mg to 4.0mg.
Most-appropriate topic codes (Cambridge IGCSE Physics 0625):
• Topic 5.1.2 — The nucleus (Parts (a)(i), (a)(ii))
• Topic 5.2.4 — Half-life (Part (b))
▶️ Answer/Explanation
Ans
(a)(i) both have 92 (protons) OR same (number of protons)
(ii) U-235 has (3) fewer neutrons OR U-238 has (3) more neutrons OR U-235 has 143 and U-238 has 146 neutrons
(b) \((2\times 24 =)\) 48 (minutes)
(change in mass takes place over / decay takes) 2 half-lives
\(16\to 8(.0)\to 4(.0)\) OR \(16\times ½\times ½ (= 4(.0))\)
Detailed Solution: (a)(i) Isotopes have the same proton number, so both U-235 and U-238 contain 92 protons. (a)(ii) The neutron number is A – Z, giving 143 for U-235 and 146 for U-238. (b) The mass halves each half-life: 16.0 mg → 8.0 mg (24 min) → 4.0 mg (48 min).
