Atomic Structure, Radioactivity & Nuclear Energy
Radioactivity: Alpha, Beta, Gamma
Radioactivity is the spontaneous breaking up of an unstable nucleus, giving out radiation. It is a nuclear property, not a chemical one — heating, cooling, pressure or chemical combination cannot switch it on or off. Nuclei with Z greater than 82 (beyond lead) are all radioactive.
| Property | Alpha (α) | Beta (β) | Gamma (γ) |
|---|---|---|---|
| Nature | Helium nucleus (2 protons + 2 neutrons) | Fast-moving electron | Electromagnetic wave (photon) |
| Charge | +2 | −1 | Zero |
| Mass | Heaviest (≈ 4 u) | Very small (1/1836 of proton) | No rest mass |
| Penetrating power | Least — a sheet of paper stops it | Medium — a few mm of aluminium stops it | Highest — needs thick lead or concrete |
| Ionising power | Highest | Medium | Lowest |
| Effect on the nucleus | A falls by 4, Z falls by 2 | A unchanged, Z rises by 1 | Neither A nor Z changes |
An unstable heavy nucleus rarely reaches stability in one step. It goes through a radioactive decay series — a chain of alpha and beta decays ending at a stable nucleus. The uranium-238 series ends at lead-206; the uranium-235 series ends at lead-207 and the thorium-232 series at lead-208. In every series, radon, a radioactive gas, appears as an intermediate — which is why radon accumulating in poorly ventilated basements is a real health concern.
Half-Life, Dating & Radioisotopes at Work
Half-life (T) is the time in which half of a radioactive sample decays. It is a fixed fingerprint of each isotope — you cannot speed it up or slow it down. Crucially, half-life does not depend on how much sample you started with: 1 gram and 1 tonne of the same isotope have the same half-life.
Step 1 — number of half-lives: n = total time ÷ half-life = 15 ÷ 5 = 3.
Step 2 — halve the sample n times: 80 g → 40 g (5 yr) → 20 g (10 yr) → 10 g (15 yr).
Step 3 — check with the formula N = N₀ × (1/2)ⁿ = 80 × (1/2)³ = 80 × 1/8 = 10 g.
So 10 g remains (1/8, i.e. 12.5 %) and 70 g has decayed (7/8, i.e. 87.5 %). Remember the ladder: after 1, 2, 3, 4 half-lives the fraction left is 1/2, 1/4, 1/8, 1/16.
| Unit | Measures | Note |
|---|---|---|
| Becquerel (Bq) | Activity — decays per second | SI unit; 1 Bq = 1 disintegration per second |
| Curie (Ci) | Activity (older unit) | 1 Ci = 3.7 × 10¹⁰ Bq |
| Gray (Gy) | Absorbed dose — energy absorbed per kg | 1 Gy = 1 joule/kg; older unit rad (1 Gy = 100 rad) |
| Sievert (Sv) | Equivalent dose — biological harm to the body | Older unit rem (1 Sv = 100 rem) |
Because half-lives are fixed, decay works as a clock. Carbon-14 dating (developed by Willard Libby) uses the ≈ 5,730-year half-life of ¹⁴C. A living plant or animal keeps taking in carbon, so its ¹⁴C level stays topped up; the moment it dies, intake stops and the ¹⁴C ticks down. Measure how much is left and you get the age. It works on once-living material — wood, bone, cloth, charcoal — up to roughly 50,000 years. For rocks and the age of the Earth, geologists use uranium dating: ²³⁸U decays to ²⁰⁶Pb with a half-life of about 4.5 billion years, long enough to date the planet itself.
| Isotope | Main use |
|---|---|
| Cobalt-60 | Cancer therapy (gamma teletherapy, the "cobalt bomb"); sterilising surgical instruments and preserving food by irradiation |
| Iodine-131 | Diagnosis and treatment of thyroid disorders (goitre, hyperthyroidism, thyroid cancer) |
| Phosphorus-32 | Agricultural tracer — studying uptake of phosphate fertiliser by plants; also used in blood-disorder treatment and genetics research |
| Sodium-24 | Tracing blood circulation and detecting clots; locating leaks in underground pipelines |
| Carbon-14 | Radiocarbon dating of once-living material; tracing metabolic pathways |
| Uranium-235 / Plutonium-239 | Fuel for nuclear reactors and fissile material for weapons |
Fission and Fusion
Nuclear fission is the splitting of a heavy nucleus into two lighter ones, releasing energy and neutrons. It was discovered by Otto Hahn and Fritz Strassmann (1938) and explained by Lise Meitner and Otto Frisch. In a reactor, a slow (thermal) neutron is absorbed by uranium-235, which becomes unstable and breaks up, typically as: ²³⁵U + n → ¹⁴¹Ba + ⁹²Kr + 3 neutrons + energy (≈ 200 MeV).
Each fission gives out more neutrons than it consumed, and those neutrons split further nuclei — a chain reaction. For the chain to sustain itself the sample must be big enough that neutrons do not simply escape from the surface; that minimum amount of fissile material is the critical mass. Below it the reaction dies out; well above it, the reaction runs away.
- Fuel — natural or enriched uranium, or plutonium; it supplies the fissile nuclei.
- Moderator — heavy water (D₂O) or graphite (also light water, beryllium). It slows down fast neutrons so U-235 can capture them.
- Control rods — cadmium or boron rods that absorb neutrons. Push them in to slow the reactor, pull them out to speed it up.
- Coolant — heavy or light water, carbon dioxide, or liquid sodium in fast breeders. It carries heat away to make steam.
- Shielding — thick concrete and lead to stop radiation escaping.
Nuclear fusion is the opposite: light nuclei join to form a heavier one. This is what powers the Sun. In the proton–proton cycle, four hydrogen nuclei effectively combine, through intermediate steps, into one helium-4 nucleus, releasing positrons, neutrinos and a huge amount of energy — because the helium nucleus is lighter than the four protons that formed it, and the missing mass appears as energy. On Earth, fusion is desperately hard: positively charged nuclei repel each other, so you need temperatures of millions of degrees and a way to confine a plasma that hot without any container touching it. Experimental reactors use magnetic confinement (the tokamak; India's SST-1 and the international ITER project). Fusion produces far less long-lived radioactive waste than fission and its fuel (deuterium from sea water) is nearly unlimited — which is why the effort continues.
| Point | Fission | Fusion |
|---|---|---|
| Process | Heavy nucleus splits | Light nuclei join |
| Fuel | U-235, U-233, Pu-239 | Hydrogen isotopes — deuterium, tritium |
| Conditions needed | Works at ordinary temperature | Needs millions of degrees |
| Energy per unit mass | Large | Much larger |
| Radioactive waste | Long-lived waste is a serious problem | Very little long-lived waste |
| Where it is used | Nuclear power stations; atom bomb | Stars and the Sun; hydrogen bomb |
India's Nuclear Programme & the Three Stages
Dr. Homi Jehangir Bhabha is the architect (father) of India's nuclear programme. He founded the Tata Institute of Fundamental Research (1945), chaired the Atomic Energy Commission (AEC), set up in 1948, and guided the creation of the Department of Atomic Energy (DAE) in 1954, which is placed directly under the Prime Minister. The atomic establishment at Trombay (Mumbai) was renamed the Bhabha Atomic Research Centre (BARC) in his memory after his death in an air crash in 1966.
Bhabha's deepest insight was about resources. India has only modest uranium but among the world's largest thorium reserves, locked in the monazite sands of Kerala's beaches (also Tamil Nadu and Odisha). But thorium-232 is not fissile — it cannot burn directly in a reactor; it must first be converted into fissile uranium-233. So Bhabha designed a three-stage programme that begins with uranium and ends with thorium.
| Stage | Reactor type | Fuel used → material produced |
|---|---|---|
| Stage 1 | Pressurised Heavy Water Reactors (PHWR) — heavy water as both moderator and coolant | Natural uranium → electricity + plutonium-239 in the spent fuel |
| Stage 2 | Fast Breeder Reactors (FBR) — no moderator, liquid sodium coolant | Plutonium-239 (from Stage 1) with a thorium-232 blanket → electricity + uranium-233 |
| Stage 3 | Thorium-based reactors (e.g. the Advanced Heavy Water Reactor) | Thorium-232 + uranium-233 in a self-sustaining cycle → long-term energy security |
Reactors, Tests & Nuclear Diplomacy
- 1948Atomic Energy Commission established under the Atomic Energy Act; Homi Bhabha its first chairman.
- 1954Department of Atomic Energy (DAE) created, under the Prime Minister; the Trombay establishment (later BARC) begins.
- 1956Apsara, India's first research reactor, goes critical at Trombay — the first research reactor in Asia.
- 1969Tarapur (Maharashtra) — India's first nuclear power station — starts commercial operation.
- 18 May 1974Pokhran-I, code-named "Smiling Buddha" — India's first nuclear test, in Rajasthan; described officially as a peaceful nuclear explosion.
- 1985Dhruva, India's largest research reactor, becomes operational at BARC, Trombay.
- 1987Nuclear Power Corporation of India Limited (NPCIL) formed to build and run India's power reactors.
- 11 & 13 May 1998Pokhran-II (Operation Shakti) — a series of tests; India declares itself a nuclear weapon state. 11 May is observed as National Technology Day.
- 2008The Indo-US civil nuclear agreement (123 Agreement) is signed and the Nuclear Suppliers Group grants India a waiver, reopening global nuclear trade.
| Station | State | Point to remember |
|---|---|---|
| Tarapur | Maharashtra | India's first nuclear power station (1969); boiling water reactors |
| Rawatbhata (Rajasthan Atomic Power Station) | Rajasthan | Near Kota, on the Chambal; India's first PHWRs |
| Kalpakkam (Madras Atomic Power Station) | Tamil Nadu | First fully indigenous station; also home to IGCAR, the FBTR and the PFBR |
| Narora | Uttar Pradesh | On the Ganga, in Bulandshahr district |
| Kakrapar | Gujarat | Near Surat; site of newer indigenous 700 MWe PHWRs |
| Kaiga | Karnataka | In Uttara Kannada district, in the Western Ghats |
| Kudankulam | Tamil Nadu | Russian-designed VVER reactors; India's largest nuclear station |
- Apsara (1956) — first research reactor in India and in Asia. Dhruva (1985) — India's largest research reactor. Both are at BARC, Trombay.
- Prototype Fast Breeder Reactor (PFBR) at Kalpakkam, Tamil Nadu is India's Stage 2 flagship, a 500 MWe sodium-cooled breeder. Kalpakkam also has the Fast Breeder Test Reactor (FBTR) and the Indira Gandhi Centre for Atomic Research (IGCAR).
- AERB (Atomic Energy Regulatory Board, 1983) is the safety regulator; NPCIL (1987) builds and operates power reactors; BHAVINI was created for fast breeder reactors.
On doctrine and diplomacy: after 1998 India adopted a policy of credible minimum deterrence with a declared no-first-use (NFU) commitment — India will not be the first to use nuclear weapons, but retaliation to a nuclear attack will be massive. The IAEA (International Atomic Energy Agency, 1957, headquartered in Vienna) promotes peaceful use and applies safeguards to civilian facilities. India has not signed the NPT (Nuclear Non-Proliferation Treaty, 1968), calling it discriminatory because it recognises as nuclear weapon states only those who tested before 1 January 1967, and asks everyone else to disarm without a time-bound commitment from the five. India has likewise not signed the CTBT (Comprehensive Test Ban Treaty, 1996), though it maintains a voluntary moratorium on further testing. The Indo-US civil nuclear deal broke this isolation: India separated its civil and military facilities, placed the civilian ones under IAEA safeguards, and in return received an NSG waiver in 2008 allowing it to import nuclear fuel and technology despite not being an NPT signatory.
Radiation Safety & Nuclear Accidents
Ionising radiation damages living cells and can break DNA. High doses cause radiation sickness — nausea, hair loss, damage to bone marrow; lower long-term exposure raises the risk of cancer and of genetic (heritable) damage. Rapidly dividing cells — bone marrow, the gut lining, a growing foetus — are the most vulnerable. This is also why radiation can be turned into a weapon against cancer: fast-dividing tumour cells are hit hardest.
- The three shields of protection: Time (stay near a source as briefly as possible), Distance (intensity falls sharply with distance), and Shielding (paper for α, aluminium for β, lead or concrete for γ).
- Workers wear lead aprons and carry film badges or dosimeters to record the dose they have received.
- After a reactor accident, potassium iodide tablets are distributed: ordinary iodine saturates the thyroid so it cannot absorb radioactive iodine-131.
- Spent fuel and reactor waste are stored under water, then vitrified (fused into glass) and buried deep — the hardest unsolved problem of fission power.
| Accident | When & where | What happened |
|---|---|---|
| Chernobyl | 26 April 1986, Ukraine (then USSR) | A flawed safety test caused a power surge in a graphite-moderated reactor; the core exploded and burned, spreading radioactive material across Europe. Rated level 7 — the maximum. |
| Fukushima Daiichi | 11 March 2011, Japan | A great earthquake and tsunami knocked out power and cooling; three reactor cores melted down and hydrogen explosions released radioactivity. Also rated level 7. |
Key takeaways
- Z = protons (fixes the element), A = protons + neutrons. Isotopes same Z, isobars same A, isotones same neutron number.
- Rutherford's gold-foil experiment proved the atom is mostly empty with a tiny dense nucleus; the strong nuclear force binds it, and the mass defect appears as binding energy via E = mc².
- Radioactivity discovered by Becquerel (1896); the Curies found polonium and radium (1898). Penetration γ > β > α; ionisation α > β > γ.
- After n half-lives, fraction left = (1/2)ⁿ — so after 3 half-lives only 1/8 (12.5 %) remains. Activity in becquerel/curie, absorbed dose in gray, biological dose in sievert.
- Isotope uses: cobalt-60 cancer therapy, iodine-131 thyroid, phosphorus-32 plant/fertiliser studies, sodium-24 blood flow and pipeline leaks, carbon-14 dating.
- In a reactor: moderator (heavy water/graphite) slows neutrons, control rods (cadmium/boron) absorb them. Reactor = controlled chain reaction; bomb = uncontrolled. Sun runs on fusion (proton–proton cycle).
- India's three stages: PHWR on natural uranium → fast breeders on plutonium-239 with a thorium blanket → thorium-232/uranium-233 reactors. Bhabha was its architect; AEC 1948, DAE 1954, Apsara 1956, Pokhran-I 1974, Pokhran-II 1998; India follows no-first-use and has not signed the NPT or CTBT.
Practice questions (8)
Attempt each one before opening the answer. Every explanation names the tempting wrong option as well as the right one, because that is where marks are lost.
A radioactive sample of mass 80 g has a half-life of 5 years. What mass of the sample will remain undecayed after 15 years?
Show answer
Answer: C — 10 g
Number of half-lives n = 15 ÷ 5 = 3. Remaining mass = 80 × (1/2)³ = 80 × 1/8 = 10 g. Step by step: 80 → 40 → 20 → 10 g. So 10 g remains and 70 g has decayed.Which of the following radiations has the highest penetrating power?
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Answer: C — Gamma rays
Penetrating power follows gamma > beta > alpha. Gamma rays are uncharged electromagnetic waves and need thick lead or concrete to stop them, while a sheet of paper stops alpha particles. Ionising power is the reverse order: alpha > beta > gamma.In India's three-stage nuclear programme, the second stage is based on:
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Answer: B — Fast breeder reactors using plutonium-239 with a thorium blanket
Stage 1 uses PHWRs with natural uranium (producing plutonium-239). Stage 2 uses fast breeder reactors fuelled by that plutonium-239, with a thorium-232 blanket that breeds fissile uranium-233. Stage 3 then runs on the thorium-232/uranium-233 cycle. Fusion is not part of the three-stage plan.Consider the following statements about a nuclear reactor:
1. Heavy water and graphite are used as moderators to slow down fast neutrons.
2. Cadmium and boron rods are used as moderators.
Which is/are correct?Show answer
Answer: A — Only 1
Statement 1 is correct — heavy water and graphite are moderators. Statement 2 is wrong: cadmium and boron are used in control rods, which absorb neutrons to control the chain reaction; they are neutron absorbers, not moderators.Which radioisotope is most commonly used in the treatment of thyroid disorders?
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Answer: B — Iodine-131
Iodine-131 is used for the diagnosis and treatment of thyroid disorders, because the thyroid gland naturally concentrates iodine. Cobalt-60 is used in general cancer radiotherapy, phosphorus-32 mainly as an agricultural tracer, and sodium-24 to study blood circulation and detect pipeline leaks.Apsara, India's first research reactor, became operational in which year and at which centre?
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Answer: B — 1956, Trombay
Apsara went critical in 1956 at Trombay (later BARC), making it India's and Asia's first research reactor. Tarapur (1969) was India's first nuclear power station, while Pokhran (1974) was the site of the first nuclear test.Consider the following statements:
1. India has not signed the Nuclear Non-Proliferation Treaty (NPT), regarding it as discriminatory.
2. India has declared a no-first-use policy for nuclear weapons.
Which is/are correct?Show answer
Answer: C — Both 1 and 2
Both are correct. India has refused to sign the NPT (1968) and the CTBT (1996), arguing that the NPT unfairly divides the world into nuclear haves and have-nots. After Pokhran-II (1998) India adopted credible minimum deterrence with a declared no-first-use commitment.The energy of the Sun is produced mainly by:
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Answer: B — Nuclear fusion of hydrogen into helium
The Sun shines by nuclear fusion: through the proton–proton cycle, hydrogen nuclei combine to form helium-4, and the small loss of mass appears as energy according to E = mc². Fission of uranium powers reactors on Earth, not stars.