🎓 Prepared by students from Boğaziçi University

What Is Nuclear Physics?

Nuclear physics studies the atomic nucleus — the tightly bound protons and neutrons at an atom's core — and the forces and reactions that hold it together, break it apart, or fuse it with another nucleus. It explains radioactivity, nuclear power, and the energy that powers the sun.

Short answer

Nuclear physics is the study of atomic nuclei, covering radioactive decay, binding energy, and the fission and fusion reactions that release enormous amounts of energy.

Nuclear Fission vs. Nuclear Fusion
Fission
  • Splits a heavy nucleus (e.g., uranium-235) into smaller nuclei
  • Triggered by a neutron striking the nucleus
  • Releases energy and additional neutrons (chain reaction)
  • Used in nuclear power plants and atomic bombs
Fusion
  • Combines two light nuclei (e.g., hydrogen isotopes) into a heavier one
  • Requires extremely high temperature and pressure
  • Releases more energy per kg than fission
  • Powers the sun and stars; still experimental for power on Earth
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Try it: interactive calculator

Remaining quantity N
70.71g
= 100*(0.5)^(10/20)
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Step-by-step worked examples

A 100 g sample of a radioactive isotope has a half-life of 10 years. How much remains after 30 years?

30 years = 3 half-lives
N = 100 × (1/2)³
N = 100 × 0.125 = 12.5 g

Iodine-131 has a half-life of about 8 days. Starting with 40 g, how much is left after 24 days?

24 days ÷ 8 days = 3 half-lives
N = 40 × (1/2)³ = 40 × 0.125
N = 5 g

A sample decays from 80 g to 20 g in 12 years. What is its half-life?

20/80 = 1/4 = (1/2)² → 2 half-lives occurred
2 half-lives = 12 years
t½ = 12 / 2 = 6 years
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Flashcards

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Quick quiz

Q1.What is the half-life of a radioactive substance?

Correct answer: B. Half-life is defined as the time needed for half of a radioactive sample to decay.

Q2.Which process splits a heavy nucleus into smaller ones?

Correct answer: B. Fission splits a heavy nucleus (like uranium-235) into lighter nuclei, releasing energy.

Q3.What powers the sun?

Correct answer: C. The sun generates energy by fusing hydrogen nuclei into helium in its core.

Q4.A sample with a 5-year half-life starts at 200 g. How much remains after 10 years?

Correct answer: B. 10 years = 2 half-lives → 200 × (1/2)² = 50 g.
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Common mistakes

Half-life means the substance is completely gone after two half-lives.Correct: After two half-lives only 1/4 remains, not zero — decay approaches zero but never fully reaches it in a finite time.

Fission and fusion release energy the same way.Correct: Fission splits heavy nuclei; fusion combines light nuclei — both convert mass to energy but via opposite processes.

All radioactive decay is dangerous in any amount.Correct: Radiation risk depends on type, dose, and exposure time — some radioactive isotopes are used safely in medicine.

The nucleus contains electrons.Correct: The nucleus contains only protons and neutrons; electrons orbit outside the nucleus.

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FAQ

What is nuclear physics?

Nuclear physics is the branch of physics that studies the atomic nucleus, including radioactive decay, binding energy, fission, and fusion.

What is the half-life formula in nuclear physics?

N = N₀ × (1/2)^(t/t½), where N is the remaining quantity after time t and t½ is the half-life.

What are examples of nuclear physics in real life?

Nuclear power plants (fission), the sun's energy (fusion), medical imaging with radioisotopes, and carbon dating all apply nuclear physics.

How is a nuclear decay problem calculated?

Divide the elapsed time by the half-life to find the number of half-lives, then multiply the initial quantity by (1/2) raised to that number.

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