Thursday, August 6, 2026

Modern Physics and Radioactivity UPCAT Reviewer: Lesson and Practice

TEACHER ABI UPCAT SCIENCE

Modern Physics and Radioactivity

Track nuclear changes, calculate repeated half-lives, interpret radiation evidence, and distinguish fission, fusion, and radioactive decay.

5-10 minute lesson27 original questionsAdaptive practiceSaves progress
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Modern Physics and Radioactivity

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Conserve mass number and atomic number when a nucleus changes

Isotopes have the same number of protons but different numbers of neutrons. Radioactive nuclei change spontaneously, releasing particles or electromagnetic energy.

alpha: mass number −4; atomic number −2beta-minus: mass number unchanged; atomic number +1gamma: mass number and atomic number unchangedremaining amount: N = N₀(1/2)^(t/T½)

Alpha radiation ionizes strongly but penetrates poorly. Beta penetrates farther. Gamma is highly penetrating and usually needs dense shielding.

Half-life means repeated halving

After n half-lives, the remaining fraction is (1/2)^n. It does not mean every individual nucleus decays on a schedule.

Nuclear and chemical changes are different

Chemical reactions rearrange electrons. Nuclear reactions change the nucleus and can convert a small mass defect into substantial energy.

DO IT FAST

Use the change in the two nuclear numbers

Mass −4 and atomic number −2: alpha decay.

Mass unchanged and atomic number +1: beta-minus decay.

Both unchanged but energy released: gamma emission.

For half-life, write the actual chain: 160 → 80 → 40 → 20. This prevents subtracting equal amounts instead of halving repeatedly.

Why it works

The two conserved numbers identify an emission more reliably than memorizing isolated decay examples.

WORKED EXAMPLES

Five forms you should recognize

1. Three half-lives

Problem: A 160 mg sample undergoes three half-lives.

160 → 80 → 40 → 20 mg
2. Alpha decay

Parent: mass 226, atomic number 88.

Daughter: mass 222, atomic number 86.

The changes −4 and −2 identify alpha emission.

3. Beta-minus decay

Carbon-14: atomic number 6.

After beta-minus decay, mass remains 14 while atomic number becomes 7.

4. Fission versus fusion

Fission: A heavy nucleus splits and may release chain-reaction neutrons.

Fusion: Light nuclei combine; this powers the Sun.

5. Mass defect

A bound nucleus has slightly less mass than its separated nucleons.

binding energy = Δmc²
COMMON TRAPS

Check before you commit

  • Subtracting the same amount every half-life
  • Assuming all nuclei decay exactly at one half-life
  • Changing mass number during beta-minus decay
  • Changing atomic number during pure gamma emission
  • Confusing fission with fusion
  • Using penetration and ionization as though they increase together
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QUICK ANSWERS

Modern Physics and Radioactivity FAQ

Does a sample become completely nonradioactive after one half-life?

No. Half remains on average; later half-lives continue halving the remainder.

Why is alpha dangerous if paper stops it?

External alpha is easily blocked, but an alpha-emitting material taken inside the body can deposit intense ionization over a short range.

Why does fusion release energy?

The fused nucleus has lower total mass than its separated starting nuclei; the mass defect appears as released energy.

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