Wednesday, June 24, 2026
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Chapter 24: Radioactivity and Nuclear Reaction

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24.1 Alpha, Beta & Gamma Particles

  • α-particle → Helium nucleus (2p + 2n), +2 charge, heavy, low penetration (stopped by paper).
  • β-particle → Electron (β⁻) or positron (β⁺), light, medium penetration (stopped by Al sheet).
  • γ-ray → High-energy EM wave, no mass/charge, high penetration (needs lead block).

24.2 Laws of Radioactive Disintegration

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24.3 Half-life, Mean-life & Decay Constant

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24.4 Geiger-Muller Tube

  • Detects α, β, γ radiation.
  • Filled with gas → ionized by radiation → produces pulse → counted electronically.

24.5 Carbon Dating

  • Based on radioactive isotope C-14 (half-life = 5730 years).
  • Living organisms maintain constant C-14/C-12 ratio.
  • After death, C-14 decays → measure remaining C-14 to estimate age.

24.6 Medical Use & Hazards

  • Uses: Cancer treatment (radiotherapy), tracers in diagnosis, sterilization of instruments.
  • Hazards: Tissue damage, mutation, cancer risk, radiation sickness if exposed too much.

Short Questions and Answers in Short

Numerical Examples

✅ Formula Sheet (Quick Revision)

Q1. What is an α-particle?
Ans: Helium nucleus (2 protons + 2 neutrons).

Q2. Which radiation has highest penetrating power?
Ans: Gamma rays.

Q3. Write the law of radioactive decay.
Ans: Rate of disintegration ∝ number of nuclei present.

Q4. Define half-life.
Ans: Time taken for half of the radioactive nuclei to decay.

Q5. Relation between half-life & decay constant?
Ans: T1/2 = 0.693/ λ

Q6. What is carbon dating used for?
Ans: To find the age of fossils/archaeological samples.

Q7. Mention one medical use of radiation.
Ans: Radiotherapy in cancer treatment.

Q8. What is the working principle of G-M tube?
Ans: Ionization of gas molecules by radiation produces pulses.

Q9. Define mean life.
Ans: Average lifetime of a radioactive nucleus = = 1/λ

Q10. Why is γ-ray more dangerous than α?
Ans: Due to high penetration power.

Numerical Examples

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✅ Formula Sheet (Quick Revision)

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Comparison of α, β, and γ Radiations

Propertyα-particles (Alpha)β-particles (Beta)γ-rays (Gamma)
NatureHelium nucleus (₂He⁴)Electron (β⁻) or Positron (β⁺)Electromagnetic wave (photon)
Mass4 amu (≈ 6.64 × 10⁻²⁷ kg)1/1837 amu (≈ 9.1 × 10⁻³¹ kg)Zero
Charge+2e–e (electron) or +e (positron)0 (neutral)
Speed≈ 10⁷ m/s (slow)≈ 10⁸ m/s (fast, near c)c (speed of light)
Penetrating PowerVery low (stopped by paper)Moderate (stopped by few mm Al)Very high (needs thick lead)
Ionization PowerVery highModerateVery low
Deflection (E & B field)Small (heavy, +ve charge)Large (light, –ve or +ve charge)No deflection (neutral)
Biological EffectDangerous if ingested/inhaledCan penetrate skin, harmfulDeep penetration, highly harmful

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