Topics
Units and Measurements
- Introduction of Units and Measurements
- System of Units
- Measurement of Length
- Measurement of Mass
- Measurement of Time
- Dimensions and Dimensional Analysis
- Accuracy, Precision and Uncertainty in Measurement
- Errors in Measurements
- Significant Figures
Mathematical Methods
- Vector Analysis
- Vector Operations
- Resolution of Vectors
- Multiplication of Vectors
- Introduction to Calculus
Motion in a Plane
- Introduction to Motion in a Plane
- Rectilinear Motion
- Motion in Two Dimensions-Motion in a Plane
- Uniform Circular Motion (UCM)
Laws of Motion
- Introduction to Laws of Motion
- Aristotle’s Fallacy
- Newton’s Laws of Motion
- Inertial and Non-inertial Frames of Reference
- Types of Forces
- Work Energy Theorem
- Principle of Conservation of Linear Momentum
- Collisions
- Impulse of Force
- Rotational Analogue of a Force - Moment of a Force Or Torque
- Couple and Its Torque
- Mechanical Equilibrium
- Centre of Mass
- Centre of Gravity
Gravitation
- Introduction to Gravitation
- Kepler’s Laws
- Newton’s Universal Law of Gravitation
- Measurement of the Gravitational Constant (G)
- Acceleration Due to Gravity (Earth’s Gravitational Acceleration)
- Variation in the Acceleration Due to Gravity with Altitude, Depth, Latitude and Shape
- Gravitational Potential and Potential Energy
- Earth Satellites
Mechanical Properties of Solids
- Introduction to Mechanical Properties of Solids
- Elastic Behavior of Solids
- Stress and Strain
- Hooke’s Law
- Elastic Modulus
- Stress-strain Curve
- Strain Energy
- Hardness
- Friction in Solids
Thermal Properties of Matter
- Introduction to Thermal Properties of Matter
- Heat and Temperature
- Measurement of Temperature
- Absolute Temperature and Ideal Gas Equation
- Thermal Expansion
- Specific Heat Capacity
- Calorimetry
- Change of State
- Heat Transfer
- Newton’s Law of Cooling
Sound
- Introduction to Sound
- Types of Waves
- Common Properties of All Waves
- Transverse Waves and Longitudinal Waves
- Mathematical Expression of a Wave
- The Speed of Travelling Waves
- Principle of Superposition of Waves
- Echo, Reverberation and Acoustics
- Qualities of Sound
- Doppler Effect
Optics
- Introduction to Ray Optics
- Nature of Light
- Ray Optics Or Geometrical Optics
- Reflection
- Refraction
- Total Internal Reflection
- Refraction at a Spherical Surface and Lenses
- Dispersion of Light Through Prism and Formation of Spectrum
- Some Natural Phenomena Due to Sunlight
- Defects of Lenses (Aberrations of Optical Images)
- Optical Instruments
- Optical Instruments: Simple Microscope
- Optical Instruments: Compound Microscope
- Optical Instruments: Telescope
Electrostatics
- Introduction to Electrostatics
- Electric Charges
- Basic Properties of Electric Charge
- Coulomb’s Law - Force Between Two Point Charges
- Principle of Superposition
- Electric Field
- Electric Flux
- Gauss’s Law
- Electric Dipole
- Continuous Distribution of Charges
Electric Current Through Conductors
- Electric Current
- Flow of Current Through a Conductor
- Drift Speed
- Ohm's Law (V = IR)
- Limitations of Ohm’s Law
- Electrical Power
- Resistors
- Specific Resistance (Resistivity)
- Variation of Resistance with Temperature
- Electromotive Force (emf)
- Combination of Cells in Series and in Parallel
- Types of Cells
- Combination of Resistors - Series and Parallel
Magnetism
- Introduction to Magnetism
- Magnetic Lines of Force and Magnetic Field
- The Bar Magnet
- Gauss' Law of Magnetism
- The Earth’s Magnetism
Electromagnetic Waves and Communication System
- EM Wave
- Electromagnetic Spectrum
- Propagation of EM Waves
- Introduction to Communication System
- Modulation
Semiconductors
- Introduction to Semiconductors
- Electrical Conduction in Solids
- Band Theory of Solids
- Intrinsic Semiconductor
- Extrinsic Semiconductor
- p-n Junction
- A p-n Junction Diode
- Basics of Semiconductor Devices
- Applications of Semiconductors and P-n Junction Diode
- Thermistor
Measurement of Time
For measurement of any time interval, we need a clock. Any phenomenon which repeats itself after a fixed interval can serve the purpose of a clock.
Atomic clock: We now use an atomic standard of time, which is based on the periodic vibrations produced in a cesium atom. This is the basis of the cesium clock, sometimes called atomic clock, used in the national standards. It is highly accurate.
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In the Cesium clock, a second is equal to 9,192,631,770 vibrations of radiation from the transition between two hyperfine levels of cesium-133 atom.
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The cesium clock works on the vibration of the cesium atom, which is similar to the vibrations of the balance wheel in a regular wristwatch and quartz crystal in a quartz wristwatch.
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Four atomic clocks maintain national standard time and frequency. Indian standard time is maintained by a Cesium clock at the National Physical Laboratory (NPL), New Delhi.
- Cesium clocks are very accurate, and the uncertainty is very low, 1 part in 1013, meaning not more than 3 μs are lost or gained in a year.
Range and order of time intervals:
Event Time interval(s) Life-span of most unstable particle 10-24 Time required for light to cross a nuclear distance 10-22 Period of X-rays 10-19 Period of atomic vibrations 10-15 Period of light wave 10-15 Life time of an excited state of an atom 10-8 Period of radio wave 10-6 Period of a sound wave 10-3 Wink of eye 10-1 Time between successive human heart beats 100 Travel time for light from moon to the Earth 100 Travel time for light from the Sun to the Earth 102 Time period of a satellite 104 Rotation period of the Earth 105 Rotation and revolution periods of the moon 106 Revolution period of the Earth 107 Travel time for light from the nearest star 108 Average human life-span 109 Age of Egyptian pyramids 1011 Time since dinosaurs became extinct 1015 Age of the universe 1017