Topics
Electric Charges and Fields
- Electric Charge
- Conductors and Insulators
- Properties of Electric Charge
- Coulomb’s Law
- Forces between Multiple Charges
- Electric Field
- Electric Field Due to a System of Charges
- Physical Significance of Electric Field
- Electric Field Lines
- Electric Flux
- Electric Dipole
- Dipole in a Uniform External Field
- Continuous Charge Distribution
- Gauss’s Law
- Application of Gauss' Law
Electrostatics
Current Electricity
Electrostatic Potential and Capacitance
- Electric Potential and Potential Energy
- Electrostatic Potential
- Electric Potential Due to a Point Charge
- Potential Due to an Electric Dipole
- Potential due to a System of Charges
- Equipotential Surfaces
- Relation Between Electric Field and Electrostatic Potential
- Potential Energy of a System of Charges
- Potential Energy of a Single Charge
- Potential Energy of a System of Two Charges in an External Field
- Potential Energy of a Dipole in an External Field
- Electrostatics of Conductors
- Dielectrics and Polarisation
- Capacitors and Capacitance
- The Parallel Plate Capacitor
- Effect of Dielectric on Capacitance
- Combination of Capacitors
- Energy Stored in a Charged Capacitor
Magnetic Effects of Current and Magnetism
Current Electricity
- Electric Current
- Electric Currents in Conductors
- Ohm's Law
- Drift of Electrons and the Origin of Resistivity
- Mobility of Electrons
- Limitations of Ohm’s Law
- Resistivity of Various Materials
- Temperature Dependence of Resistivity
- Electrical Energy and Power in Conductors
- Cells, EMF, and Internal Resistance
- Cells in Series and in Parallel
- Kirchhoff’s Laws
- Wheatstone Bridge
Electromagnetic Induction and Alternating Currents
Moving Charges and Magnetism
- Electromagnetism
- Magnetic force
- Motion in a Magnetic Field
- Magnetic Field Due to a Current-carrying Conductor: Biot-savart's Law
- Applications of Biot-Savart's Law > Magnetic Field at the Axis of a Circular Current-carrying Loop
- Ampere’s Circuital Law
- Solenoid
- Force Between Two Parallel Currents (Ampere’s Law)
- Torque on a Rectangular Current Loop in a Uniform Magnetic Field
- Circular Current Loop as a Magnetic Dipole
- Moving Coil Galvanometer
- Kirchhoff’s Laws
Magnetism and Matter
Electromagnetic Waves
Electromagnetic Induction
Optics
Dual Nature of Radiation and Matter
Alternating Current
Electromagnetic Waves
- Introduction to Electromagnetic Waves
- Displacement Current
- Sources of Electromagnetic Waves
- Nature of Electromagnetic Waves
- Electromagnetic Spectrum
- Definition and Characteristics of Electromagnetic Waves
Atoms and Nuclei
Electronic Devices
Ray Optics and Optical Instruments
- Ray Optics Or Geometrical Optics
- Reflection of Light by Spherical Mirrors
- Sign Convention for Reflection by Spherical Mirrors
- Focal Length of Spherical Mirrors
- Mirror Equation of Spherical Mirrors
- Refraction of Light
- Total Internal Reflection
- Applications of Total Internal Reflection
- Refraction at a Spherical Surfaces
- Refraction by a Lens
- Power of a Lens
- Combined Focal Length of Two Thin Lenses in Contact
- Refraction Through a Prism
- Introduction to Optical Instruments
- Microscope and it’s types
- Telescope
Wave Optics
- Introduction to Wave Optics
- Huygens Principle
- Refraction of a Plane Wave
- Refraction at a Rarer Medium
- Reflection of a Plane Wave by a Plane Surface
- Coherent and Incoherent Addition of Waves
- Interference of Light Waves and Young’s Experiment
- Diffraction of Light
- The Single Slit
- Seeing the Single Slit Diffraction Pattern
- Polarisation of Light
Communication Systems
Dual Nature of Radiation and Matter
- Understanding Dual Nature of Radiation and Matter
- Electron Emission
- Photoelectric Effect - Hertz’s Observations
- Photoelectric Effect - Hallwachs’ and Lenard’s Observations
- Experimental Study of Photoelectric Effect
- Effects of Intensity and Frequency on Photocurrent
- Photoelectric Effect and Wave Theory of Light
- Einstein’s Photoelectric Equation: Energy Quantum of Radiation
- Particle Nature of Light: The Photon
- Wave Nature of Matter
The Special Theory of Relativity
Atoms
Nuclei
Semiconductor Electronics - Materials, Devices and Simple Circuits
Communication Systems
- Detection of Amplitude Modulated Wave
- Production of Amplitude Modulated Wave
- Basic Terminology Used in Electronic Communication Systems
- Sinusoidal Waves
- Modulation and Its Necessity
- Amplitude Modulation (AM)
- Need for Modulation and Demodulation
- Satellite Communication
- Propagation of EM Waves
- Bandwidth of Transmission Medium
- Bandwidth of Signals
The Special Theory of Relativity
- The Special Theory of Relativity
- The Principle of Relativity
- Maxwell'S Laws
- Kinematical Consequences
- Dynamics at Large Velocity
- Energy and Momentum
- The Ultimate Speed
- Twin Paradox
Introduction
By the nineteenth century, enough evidence had accumulated in favour of the atomic hypothesis of matter. In 1897, experiments on electric discharge through gases carried out by J. J. Thomson showed that atoms of different elements contain negatively charged constituents called electrons, and these electrons are identical for all atoms. Since atoms as a whole are electrically neutral, the atom must also contain positive charge to neutralise the negative charge of electrons.
J. J. Thomson's Model of the Atom
The first model of the atom was proposed by J. J. Thomson in 1898. According to this model, the positive charge of the atom is uniformly distributed throughout the volume of the atom, and the negatively charged electrons are embedded in it like seeds in a watermelon.
Plum pudding model: Thomson's atomic model in which electrons are embedded in a uniformly distributed positive charge.
This model was also described pictorially as the plum pudding model of the atom. Later studies showed that the actual distribution of electrons and positive charge is very different from this proposal.
Emission of Radiation by Matter
Condensed matter, such as solids and liquids, and dense gases at all temperatures, emit electromagnetic radiation with a continuous distribution of wavelengths, though with different intensities. This radiation is considered to arise from oscillations of atoms and molecules, governed by the interactions of each atom or molecule with its neighbours.
In contrast, light emitted from rarefied gases heated in a flame, or excited electrically in a glow tube such as a neon sign or mercury vapour lamp, has only certain discrete wavelengths. Its spectrum appears as a series of bright lines.
In rarefied gases, the average spacing between atoms is large. Therefore, the emitted radiation can be considered to arise from individual atoms rather than from interactions between atoms or molecules.
Characteristic Spectrum of Elements
In the early nineteenth century, it was established that each element is associated with a characteristic spectrum of radiation. For example, hydrogen always gives a set of lines with fixed relative positions between the lines.
This fact suggested a close relationship between the internal structure of an atom and the spectrum of radiation emitted by it.
Balmer and the Spectrum of Hydrogen
In 1885, Johann Jakob Balmer obtained a simple empirical formula that gave the wavelengths of a group of lines emitted by atomic hydrogen. Since hydrogen is the simplest known element, its spectrum is considered in detail in this chapter.
- Hydrogen gives a specific set of spectral lines.
- Balmer's work provided an empirical formula for the wavelengths of a group of hydrogen lines.
Ernst Rutherford
Ernst Rutherford (1871–1937) was a New Zealand-born British physicist who did pioneering work on radioactivity. He discovered alpha-rays and beta-rays. Along with Frederick Soddy, he created the modern theory of radioactivity. He studied the emanation of thorium and discovered a new noble gas, an isotope of radon, now known as thoron.
By scattering alpha rays off metal foils, he discovered the atomic nucleus and proposed the planetary model of the atom. He also estimated the approximate size of the nucleus.
Rutherford's Alpha-Particle Scattering Work
Ernst Rutherford, who had earlier been a research student of J. J. Thomson, was conducting experiments on alpha particles emitted by certain radioactive elements. In 1906, he proposed a classic experiment in which these alpha particles were scattered by atoms to investigate atomic structure.
This experiment was later carried out around 1911 by Hans Geiger and Ernst Marsden. The explanation of the results led to Rutherford's planetary model of the atom, also known as the nuclear model.
Rutherford's Planetary Model of the Atom
According to Rutherford's model, the entire positive charge and most of the mass of the atom are concentrated in a small volume called the nucleus. Electrons orbit the nucleus just as planets orbit the Sun.
- The positive charge is concentrated in the nucleus.
- Most of the mass of the atom is concentrated in the nucleus.
- Electrons revolve around the nucleus.
- This model is also called the nuclear model of the atom.
Limitation of Rutherford's Model
Rutherford's nuclear model was a major step towards the modern picture of the atom. However, it could not explain why atoms emit light only of discrete wavelengths.
The source raises an important difficulty: how could an atom as simple as hydrogen, consisting of a single electron and a single proton, emit a complex spectrum of specific wavelengths? In the classical picture, the electron revolves around the nucleus much like a planet revolves around the Sun, but the source notes that there are serious difficulties in accepting such a model.
