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Radioactivity

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Notes

Background Radiation

  • **Background radiation** is the radiation that exists around us all the time.
  • Natural sources: **radon gas** (in air), **rocks and buildings**, **food and drink**, **cosmic rays**.
  • Man-made sources: medical X-rays, nuclear waste, nuclear fallout, nuclear accidents.
  • The **count rate** (decays per second) is measured using a **Geiger-Müller tube**.
  • To correct for background radiation, measure count rate with no source and subtract from readings with source.

Types of Radiation

  • **α (α)**: helium nucleus (2 protons, 2 neutrons), charge +2, range a few cm in air, stopped by paper, **highly ionising**.
  • **β (β)**: high-speed electron, charge -1, range tens of cm in air, stopped by a few mm of aluminium, **moderately ionising**.
  • **Gamma (γ)**: electromagnetic wave, no charge, infinite range in air, reduced by thick lead, **weakly ionising**.
  • Radioactive decay is **spontaneous and random** – cannot predict which nucleus will decay next.

Ionising Power & Deflection

  • Ionisation is the removal of an electron from an atom, creating an ion.
  • **α** is most ionising (charge +2, large mass); **β** is moderate (charge -1); **gamma** is least (no charge).
  • In an **electric field**: α deflects towards negative plate, β towards positive plate, γ undeflected.
  • In a **magnetic field**: α and β deflect in opposite directions (due to opposite charges); γ undeflected.
  • β deflects more than α because β has much smaller mass.

Radioactive Decay

  • **α decay**: nucleus emits α-particle (₂⁴He). Mass number decreases by 4, atomic number decreases by 2.
  • **β decay**: neutron changes into proton and electron; electron (β⁻) is emitted. Atomic number increases by 1, mass number unchanged.
  • **Gamma decay**: nucleus emits γ-ray; no change in mass or atomic number, only energy reduces.
  • Decay equations must balance mass and atomic numbers on both sides.
  • Example: ₈₄²¹²Po → ₈₂²⁰⁸Pb + ₂⁴α

Half-Life

  • **Half-life** is the time taken for half the nuclei in a sample to decay.
  • It is constant for a given isotope and unaffected by conditions.
  • Half-life can be found from an activity–time graph: read time for activity to halve.
  • Correct for background radiation before calculating half-life.
  • After n half-lives, fraction remaining = (½)ⁿ.

Uses of Radiation

  • **α**: smoke detectors – α ionises air, smoke absorbs α, triggers alarm.
  • **β**: measuring thickness of thin materials (e.g., paper, aluminium foil) – absorption varies with thickness.
  • **Gamma**: sterilising medical equipment (penetrating, kills microbes), irradiating food, **radiotherapy** for cancer.
  • **Tracers**: short half-life gamma emitters used in PET scans to diagnose cancer.

Dangers of Radiation

  • Ionising radiation can damage DNA, causing **cell death**, **mutations**, or **cancer**.
  • High doses cause skin burns and reduce white blood cells (weakened immune system).
  • Safe handling: store in lead-lined boxes, use tongs, minimise time, maximise distance.
  • Shielding (lead, concrete, water) absorbs radiation; radiologists stand behind barriers.
  • Radioactive waste with long half-life is buried deep underground.

Alpha particle (helium nucleus) – 2 protons, 2 neutrons.

He — Bohr model (2)2p2n

Deflection of alpha and beta particles in an electric field (analogous to ray deflection).

Reflectionnormalincident40°reflected40°

Penetrating power of alpha, beta, and gamma radiation.

Penetrating PowerPaperAluminium (few mm)Lead (few cm)α stoppedβ stoppedγ reduced

Activity–time graph showing half-life determination.

Half-Life GraphActivityTimeHalf-life

Practice questions

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  1. 1.Which of the following is a natural source of background radiation?

    Easy
    • ARadon gas
    • BMedical X-rays
    • CNuclear waste
    • DNuclear fallout
  2. 2.What is the main reason radioactive sources are stored in lead-lined containers?

    Easy
    • ATo reduce the amount of radiation emitted, protecting people nearby
    • BTo increase the rate of radioactive decay
    • CTo prevent the source from getting cold
    • DTo stop the source from moving
  3. 3.Which type of radiation is the most ionising?

    Easy
    • Aα particles
    • Bβ particles
    • CGamma rays
    • DNeutrons
  4. 4.Which statement about radioactive decay is correct?

    Easy
    • AIt is a random process and cannot be predicted when a particular nucleus will decay
    • BThe rate of decay increases if the substance is heated
    • CPlacing a radioactive substance in a lead box prevents it from decaying
    • DThe decay always produces poisonous gases
  5. 5.A radioactive source has a half-life of 0.5 hours. A detector near the source shows a reading of 6000 counts per second. Background radiation can be ignored. What is the reading on the detector 1.5 hours later?

    Medium
    • A750 counts per second
    • B1500 counts per second
    • C2000 counts per second
    • D3000 counts per second
  6. 6.A student measures 210 counts in 3 minutes from a radioactive source. The background count rate is 20 counts per minute. What is the corrected count rate for the source?

    Medium
    • A50 counts per minute
    • B70 counts per minute
    • C190 counts per minute
    • D270 counts per minute
  7. 7.A nucleus of radium-226 (⁸⁸²²⁶Ra) undergoes α decay. What are the nucleon number and proton number of the new nucleus formed?

    Medium
    • ANucleon number 222, proton number 86
    • BNucleon number 222, proton number 88
    • CNucleon number 224, proton number 87
    • DNucleon number 230, proton number 90
  8. 8.Which type of radiation is most suitable for measuring the thickness of thin aluminium foil in a manufacturing process?

    Medium
    • Aβ particles
    • Bα particles
    • CGamma rays
    • DNeutrons

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