Home / iGCSE Physics (0625) 5.2.4 Half-life Paper 3 -Exam Style Questions- New Syllabus

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).

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