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Modern Physics

July 11, 2026
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```html Physics - Chapter 7: Modern Physics

⚛️ Physics — Modern Physics

Modern Physics
Figure 1: Modern physics deals with atomic structure, nuclear physics, and quantum phenomena.

1. Atom and Subatomic Particles

DISCOVERY OF SUBATOMIC PARTICLES

  • Electron: Discovered by J.J. Thomson (1897)
  • Proton: Discovered by Ernest Rutherford (1919) by bombarding nitrogen with α-particles
  • Neutron: Discovered by James Chadwick (1932) by bombarding beryllium with α-particles
PARTICLE PROPERTIES

Particle Charge Mass
Electron −1.6 × 10⁻¹⁹ C 9.11 × 10⁻³¹ kg
Proton +1.6 × 10⁻¹⁹ C 1.673 × 10⁻²⁷ kg
Neutron 0 1.675 × 10⁻²⁷ kg
ATOMIC TERMS

  • Atomic Number (Z): Number of protons = Number of electrons (in neutral atom)
  • Mass Number (A): Number of protons + Number of neutrons
  • Isotopes: Same Z, different A (e.g., ¹H, ²H, ³H)
  • Isobars: Same A, different Z (e.g., ²²Na, ²²Ne)
  • Isotones: Same number of neutrons (e.g., ¹⁴C, ¹⁶O)

2. Radioactivity

BASICS

  • Discovered by Henry Becquerel (1896)
  • Spontaneous disintegration of unstable nuclei
  • Three types of radiation: α, β, γ
TYPES OF RADIATION

Type Nature Effect on Nucleus
α-particle Helium nucleus (²He⁴) Z decreases by 2, A decreases by 4
β-particle Electron (₋₁e⁰) Z increases by 1, A unchanged
γ-rays Electromagnetic waves Z and A unchanged
RADIOACTIVE DECAY LAW

  • N = N₀·e^(−λt) (λ = decay constant)
  • Half-life: T = 0.693/λ
  • Average life: τ = 1/λ = 1.44T
  • Activity: R = R₀·e^(−λt)
  • SI unit: Becquerel (Bq) | 1 Curie = 3.7 × 10¹⁰ Bq
APPLICATIONS OF RADIOISOTOPES

  • Carbon dating: Age of archaeological objects (Willard Libby)
  • Geological dating: Using ²³⁸U → ²⁰⁶Pb
  • Medical: Co-60 (cancer), I-131 (thyroid), P-32 (leukemia)
  • Agriculture: P-32 for studying phosphorus uptake

3. Nuclear Reactions

NUCLEAR FISSION

  • Splitting of heavy nucleus into lighter nuclei
  • Example: ²³⁵U + ¹n → ¹⁴¹Ba + ⁹²Kr + 3¹n + Energy
  • Used in: Nuclear reactors, Atom bombs
  • Controlled chain reaction: Nuclear reactor
  • Uncontrolled chain reaction: Atom bomb
NUCLEAR REACTOR PARTS

  • Fuel: ²³⁵U, ²³⁸U, ²³⁹Pu
  • Moderator: Heavy water, graphite, beryllium oxide (slows neutrons)
  • Coolant: Cold water, liquid oxygen (removes heat)
  • Control rods: Cadmium, Boron (absorb neutrons)
NUCLEAR FUSION

  • Combining of lighter nuclei to form heavier nucleus
  • Requires very high temperature (~10⁷ K) and pressure
  • Used in: Hydrogen bomb
  • Source of Sun's energy
NUCLEAR FORCES

  • Strongest force in nature
  • Short range (~10⁻¹⁵ m)
  • 100 times stronger than electrostatic force
  • 10³⁸ times stronger than gravitational force
  • Exchange of meson particles (Yukawa)

4. Photoelectric Effect

BASICS

  • Emission of electrons from metal surface when light of suitable frequency falls on it
  • Explained by Einstein using Planck's quantum theory
EINSTEIN'S PHOTOELECTRIC EQUATION

  • Ek = hν − φ
  • φ = hν₀ (Work function = minimum energy to eject electron)
  • Threshold frequency (ν₀): Minimum frequency to eject photoelectrons
  • Threshold wavelength (λmax): Maximum wavelength
LAWS OF PHOTOELECTRIC EFFECT

  • Rate of emission ∝ Intensity of incident light
  • Max kinetic energy ∝ Frequency (independent of intensity)
  • No emission below threshold frequency
  • No time lag between incidence and emission

5. Electromagnetic Spectrum

WAVES AND THEIR USES

Type Applications
Radio & Microwaves Radio/TV communication, microwave oven
Infrared Muscular strain treatment, night vision, weather forecasting
Visible Light Human vision, photography
Ultraviolet Sterilisation, water purification, detecting forged documents
X-rays Medical diagnosis, detecting fractures, cancer treatment
X-RAYS

  • Discovered by Röntgen (1895)
  • Produced in Coolidge tube
  • Wavelength: 0.1 Å to 100 Å
  • Bragg's Law: 2d·sin θ = nλ
  • Soft X-rays: Longer wavelength | Hard X-rays: Shorter wavelength

6. Devices and Technology

RADAR

  • RAdio Detection And Ranging
  • Uses radio waves to detect objects (aeroplanes, ships, missiles)
  • Uses: Weather detection, metal/oil exploration
MEDICAL IMAGING

  • CT Scan: X-ray based 3D imaging for internal structures
  • MRI: Uses magnetic field and radio frequency pulses
  • Breath Analyser: Detects alcohol using infrared radiation
  • Thermographic Scanner: Detects fever using infrared
SEMICONDUCTOR DEVICES

  • p-n Junction Diode: Forward bias (p to +), Reverse bias (p to −)
  • LED: Light Emitting Diode (GaAsP, GaP)
  • Zener Diode: Used as voltage regulator
  • Photo Diode: Generates current when light falls on it
  • Transistor: Combination of two p-n junctions
  • IC: Integrated Circuit (multi-functional device)

7. Solar System and Universe

PLANETS (Distance from Sun)

  • Terrestrial (Inner): Mercury, Venus, Earth, Mars
  • Jovian (Outer): Jupiter, Saturn, Uranus, Neptune
  • Largest planet: Jupiter
  • Hottest planet: Venus
  • Red planet: Mars
OTHER CELESTIAL BODIES

  • Asteroids: Between Mars and Jupiter; largest is Ceres
  • Meteoroids: Fragments in space; enter Earth as meteors (shooting stars)
  • Comets: Frozen gases and rocks; tail points away from Sun
  • Black Hole: Region with immense gravity; nothing can escape
  • Galaxy: Our galaxy is Milky Way (250 billion stars)
  • Big Bang Theory: Universe expanding since ~15 billion years ago

Summary: Modern Physics at a Glance

Topic Key Formula Key Point
Half-life T = 0.693/λ τ = 1.44T
Photoelectric Ek = hν − φ Threshold frequency
Mass-Energy E = Δmc² Einstein's equation
Nuclear Fission ²³⁵U + ¹n → Nuclear reactor, atom bomb
Bragg's Law 2d·sin θ = nλ X-ray diffraction
Nucleon Force Meson exchange Strongest force
KEY TAKEAWAYS FOR UPSC

  • Electron: J.J. Thomson (1897); Proton: Rutherford (1919); Neutron: Chadwick (1932)
  • Isotopes: Same Z, different A; Isobars: Same A, different Z
  • Radioactivity: Discovered by Becquerel; α, β, γ emissions
  • Half-life: T = 0.693/λ; Average life: τ = 1/λ
  • Nuclear Fission: Splitting; Nuclear Fusion: Combining
  • Photoelectric effect: Explained by Einstein
  • X-rays: Discovered by Röntgen; Bragg's law for diffraction
  • Largest planet: Jupiter; Hottest planet: Venus
High-Yield Interactive UPSC Quiz (Physics — Modern Physics)

Q1. Who discovered the electron?

Correct Answer: B. J.J. Thomson discovered the electron in 1897.

Q2. What is the half-life formula?

Correct Answer: B. Half-life T = 0.693/λ, where λ is the decay constant.

Q3. Which particle is emitted in beta decay?

Correct Answer: B. Beta particles are electrons (₋₁e⁰).

Q4. What is the work function in photoelectric effect?

Correct Answer: B. Work function (φ) is the minimum energy required to eject an electron from a metal surface.

Q5. What is the SI unit of radioactivity?

Correct Answer: B. The SI unit of radioactivity is Becquerel (Bq).

Q6. Which planet is known as the Red Planet?

Correct Answer: B. Mars is known as the Red Planet due to its reddish appearance.

Q7. What is the source of the Sun's energy?

Correct Answer: B. The Sun's energy comes from nuclear fusion reactions.

Q8. What is the function of a moderator in a nuclear reactor?

Correct Answer: B. A moderator slows down neutrons to sustain chain reaction.

Q9. Which element is used as a control rod in nuclear reactors?

Correct Answer: C. Cadmium and Boron are used as control rods as they absorb neutrons.

Q10. What is the Einstein's mass-energy equivalence formula?

Correct Answer: B. Einstein's mass-energy equivalence is E = mc².
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