Important derivations physics class 12
In the class 12 physics curriculum, students delve into the fascinating world of derivations. Derivations play a crucial role in understanding and applying various principles and laws of physics. These derivations serve as mathematical proofs that establish the relationships between different physical quantities and provide insights into the underlying concepts.
One of the fundamental topics covered in class 12 physics derivations is electromagnetism. Students explore the derivation of important equations such as Gauss's law, Ampere's law, and Faraday's law of electromagnetic induction. These derivations enable students to comprehend the behavior of electric and magnetic fields, their interactions, and the generation of electric currents.
Another significant area of study involves optics, where students encounter derivations related to phenomena like reflection, refraction, and interference of light. By deriving equations such as Snell's law, lens formula, and Young's double-slit experiment, students gain a deeper understanding of how light behaves and how it can be manipulated using optical devices.
Class 12 physics derivations also cover topics in mechanics, including motion in one dimension, projectile motion, circular motion, and gravitation. Through derivations of equations like equations of motion, centripetal force, and universal law of gravitation, students learn to analyze and predict the motion of objects under different conditions.
Furthermore, derivations in thermodynamics are explored, focusing on concepts such as heat, work, and the laws of thermodynamics. Students derive equations like the first law of thermodynamics and the ideal gas equation, enabling them to understand the transfer and conversion of energy in various thermodynamic processes.
Overall, class 12 physics derivations provide students with a solid foundation in understanding the principles and laws governing the physical world. By engaging in these derivations, students develop critical thinking skills, enhance their problem-solving abilities, and gain a deeper appreciation for the elegance and beauty of physics.
All Derivations of Physics Class 12 Chapter wise NCERT
Physics Derivations Class 12 Chapter-wise NCERT:
Chapter 1: Electric Charges and Fields
- Coulomb's Law derivation using the principle of superposition.
- Electric field due to a point charge derivation using Coulomb's Law.
- Electric field due to a uniformly charged spherical shell derivation.
Chapter 2: Electrostatic Potential and Capacitance
- Derivation of electric potential due to a point charge.
- Derivation of electric potential due to an electric dipole.
- Derivation of capacitance of a parallel plate capacitor.
Chapter 3: Current Electricity
- Ohm's Law derivation using the concept of drift velocity.
- Derivation of resistivity using the formula for resistance.
- Derivation of the combination of resistors in series and parallel.
Chapter 4: Moving Charges and Magnetism
- Derivation of magnetic field due to a straight current-carrying conductor using Biot-Savart Law.
- Derivation of magnetic field due to a circular loop carrying current.
- Ampere's Law derivation for a long straight wire.
Chapter 5: Magnetism and Matter
- Derivation of magnetic field due to a solenoid using Ampere's Law.
- Torque on a current loop placed in a magnetic field derivation.
- Magnetic dipole moment of a revolving electron derivation.
Chapter 6: Electromagnetic Induction
- Faraday's Law of electromagnetic induction derivation.
- Lenz's Law derivation using Faraday's Law.
- Self-inductance of a solenoid derivation.
Chapter 7: Alternating Current
- Derivation of the average value of alternating current.
- Derivation of the root mean square (rms) value of alternating current.
- Power factor derivation in AC circuits.
Chapter 8: Electromagnetic Waves
- Derivation of the displacement current in Maxwell's equations.
- Speed of electromagnetic waves derivation using Maxwell's equations.
- Derivation of the relation between electric field and magnetic field in electromagnetic waves.
Chapter 9: Ray Optics and Optical Instruments
- Derivation of Snell's Law using Fermat's principle.
- Derivation of lens formula for a thin lens.
- Derivation of the magnification formula for a spherical mirror.
Chapter 10: Wave Optics
- Derivation of Young's double-slit experiment.
- Interference pattern due to a thin film derivation.
- Diffraction at a single slit derivation.
Chapter 11: Dual Nature of Radiation and Matter
- Photoelectric effect derivation using Einstein's photoelectric equation.
- De Broglie wavelength derivation for matter waves.
- Davisson-Germer experiment derivation for electron diffraction.
Chapter 12: Atoms
- Bohr's model of hydrogen atom derivation.
- Energy levels in a hydrogen atom derivation.
- Derivation of the radius of the nth orbit in a hydrogen atom.
Chapter 13: Nuclei
- Derivation of the nuclear radius using Rutherford's scattering experiment.
- Binding energy per nucleon derivation for a nucleus.
- Radioactive decay law derivation.
Chapter 14: Semiconductor Electronics: Materials, Devices, and Simple Circuits
- Derivation of the expression for the current in a p-n junction diode.
- Transistor action derivation in the common emitter configuration.
- Derivation of the gain of an amplifier circuit.
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