NCERT SolutionsClass 12 Physics
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NCERT Solutions
Class 12 Physics

14 chapters · 21 important questions

Ch 1

Electric Charges and Fields

Covers Coulomb's law, electric field, field lines, Gauss's law and its applications. Electric dipole in external field is a key derivation topic.

Key Topics

Coulomb's lawElectric field and field linesElectric dipoleGauss's law and applications (sphere, cylinder, plane)

Important Questions

Q1

State and prove Gauss's law. Apply it to find the electric field due to an infinitely long straight wire.

Long Answer5M
Q2

Derive an expression for the electric field on the equatorial line of an electric dipole.

Long Answer3M
Ch 2

Electrostatic Potential and Capacitance

Covers electric potential, potential due to a dipole, equipotential surfaces, and capacitors. Energy stored in a capacitor and dielectrics are key numericals.

Key Topics

Electric potential and potential energyPotential due to dipoleEquipotential surfacesCapacitors: series and parallelEnergy in capacitorDielectrics

Important Questions

Q1

Derive the expression for the energy stored in a parallel plate capacitor. What happens when a dielectric slab is inserted?

Long Answer5M
Ch 3

Current Electricity

Covers Ohm's law, drift velocity, resistivity, Kirchhoff's laws, and Wheatstone bridge. The internal resistance of a cell and EMF are important numerical topics.

Key Topics

Drift velocity and mobilityOhm's lawResistivity and conductivityKirchhoff's lawsWheatstone bridgePotentiometer

Important Questions

Q1

State Kirchhoff's laws. Using them, find the current in each branch of a given circuit.

Long Answer5M
Q2

Derive the condition for balance of a Wheatstone bridge.

Long Answer3M
Ch 4

Moving Charges and Magnetism

Covers force on a moving charge (Lorentz force), force on a current-carrying conductor, Biot-Savart law, Ampere's circuital law, and the moving coil galvanometer.

Key Topics

Lorentz forceMotion of charge in magnetic field (cyclotron)Biot-Savart lawAmpere's circuital lawMoving coil galvanometer

Important Questions

Q1

State Biot-Savart law. Use it to find the magnetic field at the centre of a circular current loop.

Long Answer5M
Ch 5

Magnetism and Matter

Covers bar magnets, earth's magnetism, and magnetic properties of materials (diamagnetic, paramagnetic, ferromagnetic). Hysteresis loop is an important concept.

Key Topics

Bar magnet and field linesEarth's magnetismMagnetic materials: dia, para, ferroHysteresis

Important Questions

Q1

Distinguish between diamagnetic, paramagnetic and ferromagnetic substances. Give one example of each.

Long Answer3M
Ch 6

Electromagnetic Induction

Covers Faraday's laws, Lenz's law, self and mutual inductance. Eddy currents and their applications are included.

Key Topics

Faraday's laws of EMILenz's lawMotional EMFSelf inductanceMutual inductanceEddy currents

Important Questions

Q1

State Faraday's laws of electromagnetic induction. Derive an expression for motional EMF.

Long Answer5M
Ch 7

Alternating Current

Covers AC circuits with R, L, C individually and in series. Resonance, power factor, and LC oscillations are key topics. Transformers are also covered.

Key Topics

AC with R, L, CSeries LCR circuitResonance conditionPower in AC circuit (power factor)Transformer

Important Questions

Q1

Derive an expression for the impedance of a series LCR circuit. Define resonance and Q-factor.

Long Answer5M
Q2

An LCR circuit has L = 0.1H, C = 25μF, R = 10Ω. Find the resonant frequency.

Short Answer2M
Ch 8

Electromagnetic Waves

Covers the nature of electromagnetic waves, their transverse character, and the electromagnetic spectrum. Properties of EM waves and their uses are frequently asked.

Key Topics

Maxwell's equations (qualitative)Transverse nature of EM wavesElectromagnetic spectrum and usesSpeed of EM waves

Important Questions

Q1

What is displacement current? Why did Maxwell introduce it?

Short Answer2M
Q2

Describe the electromagnetic spectrum. Give one use of each type of radiation.

Long Answer4M
Ch 9

Ray Optics and Optical Instruments

Covers reflection and refraction, total internal reflection, lenses, and optical instruments (microscope, telescope). Lens maker's formula and power of a lens are key numericals.

Key Topics

Total internal reflectionRefraction at curved surfacesLens maker's formulaPower of a lensSimple microscope and compound microscopeRefracting telescope

Important Questions

Q1

Draw a ray diagram for a compound microscope when the final image is at infinity. Derive the expression for magnifying power.

Long Answer5M
Ch 10

Wave Optics

Covers Huygens' principle, interference (Young's double slit experiment), diffraction, and polarisation. YDSE calculations are common board numericals.

Key Topics

Huygens' principleCoherent sources and interferenceYoung's double slit experiment (fringe width formula)Diffraction at single slitPolarisation

Important Questions

Q1

In Young's double slit experiment, derive the expression for fringe width. What happens to the fringe width if: (i) wavelength is increased (ii) slit separation is increased?

Long Answer5M
Ch 11

Dual Nature of Radiation and Matter

Covers photoelectric effect, Einstein's photoelectric equation, wave-particle duality, and de Broglie wavelength. Millikan's experiment verification is included.

Key Topics

Photoelectric effectEinstein's photoelectric equationWork function and threshold frequencyde Broglie wavelengthDavisson-Germer experiment

Important Questions

Q1

Explain the photoelectric effect. Write Einstein's photoelectric equation and explain each term.

Long Answer5M
Q2

Calculate the de Broglie wavelength of an electron accelerated through 100V.

Short Answer2M
Ch 12

Atoms

Covers Rutherford's model, Bohr's atomic model, hydrogen spectrum, and energy levels. Bohr's postulates and the Rydberg formula are frequently asked.

Key Topics

Rutherford's nuclear modelBohr's postulatesEnergy levels of hydrogen atomHydrogen spectrum (Lyman, Balmer, Paschen series)Rydberg formula

Important Questions

Q1

State Bohr's postulates. Derive the expression for the radius of the nth orbit of hydrogen atom.

Long Answer5M
Ch 13

Nuclei

Covers nuclear mass, binding energy, radioactive decay, and nuclear reactions. Half-life calculations and nuclear fission and fusion are key topics.

Key Topics

Nuclear mass and binding energyRadioactive decay: α, β, γHalf life and decay constantNuclear fission and chain reactionNuclear fusion

Important Questions

Q1

What is binding energy? Draw a binding energy per nucleon vs mass number graph and explain its features.

Long Answer5M
Q2

The half life of a radioactive isotope is 5 years. How much of 100g remains after 20 years?

Short Answer2M
Ch 14

Semiconductor Electronics

Covers energy bands, types of semiconductors, p-n junction diode, rectifiers, and transistors. Logic gates (AND, OR, NOT, NAND, NOR) are included.

Key Topics

Energy bands in solidsIntrinsic and extrinsic semiconductorsp-n junction diodeHalf wave and full wave rectifiersTransistor as amplifier and switchLogic gates

Important Questions

Q1

Explain the working of a p-n junction diode as a full wave rectifier with a circuit diagram and waveform.

Long Answer5M
Q2

Draw the truth table for NAND and NOR gates. Why are they called universal gates?

Long Answer3M