Complete Summary and Solutions for Moving Charges and Magnetism – NCERT Class XII Physics Part I, Chapter 4 – Magnetic Field, Motion of Charged Particles, and Electromagnetic Effects
Detailed summary and explanation of Chapter 4 'Moving Charges and Magnetism' from the NCERT Class XII Physics Part I textbook, covering magnetic fields, force on a moving charge, motion of charged particles in magnetic and electric fields, magnetic force on a current-carrying conductor, Biot-Savart law, Ampere’s law, and applications, along with all NCERT questions and answers.
Updated: 7 months ago
Categories: NCERT, Class XII, Physics Part I, Chapter 4, Moving Charges, Magnetism, Magnetic Field, Force on Charge, Electromagnetic Effects, Summary, Questions, Answers
Moving Charges and Magnetism - Class 12 Physics Chapter 4 Ultimate Study Guide 2025
Moving Charges and Magnetism
Chapter 4: Physics - Ultimate Study Guide | NCERT Class 12 Notes, Questions, Derivations & Quiz 2025
Full Chapter Summary & Detailed Notes - Moving Charges and Magnetism Class 12 NCERT
Overview & Key Concepts
Chapter Goal: Understand magnetic fields due to moving charges, forces on charges in fields, applications like cyclotron. Exam Focus: Definitions, formulas, derivations for Lorentz force, Biot-Savart law; 2025 Updates: Real-life (e.g., MRI, particle accelerators). Fun Fact: Oersted's discovery in 1820. Core Idea: Magnetism from currents. Real-World: Motors, generators. Expanded: All subtopics point-wise with evidence (e.g., Fig 4.1 Oersted), examples (e.g., compass deflection), debates (fields vs forces).
Wider Scope: From history to derivations; sources: Text, figures (4.1-4.8), examples.
Expanded Content: Include calculations, graphs; links (e.g., to current electricity); point-wise breakdown.
4.1 Introduction
Summary in Points: E&M known 2000+ years; linked 1820 by Oersted: Current deflects compass tangential to circle. Reversing I reverses deflection. Iron filings concentric. Conclusion: Currents produce B field. Maxwell unified 1864, light as EM waves. Hertz/Bose/Marconi radio. 20th century progress: EM devices.
Expanded: Evidence: Fig 4.1(a-c); debates: Unification importance; real: EM tech.
Summary in Points: No work (F perp v); uniform B, v perp B: Circular r=mv/qB. ω=qB/m independent v. Helical if v component ||B; pitch=2π m v_|| / qB.
Expanded: Evidence: Fig 4.5-4.6; debates: Energy conservation; real: Cyclotron.
Diagram: Circular/Helical Motion
Particle paths in B.
4.4 Magnetic Field due to a Current Element, Biot-Savart Law
Summary in Points: dB = (μ_0/4π) (I dl × r)/r^3; magnitude (μ_0/4π) I dl sinθ / r^2. μ_0=4π×10^{-7} Tm/A. Similarities/differences with Coulomb.
Expanded: Evidence: Fig 4.7; debates: Vector source; real: Field calculations.
Diagram: Biot-Savart
Element dl, point P, θ.
Key Themes & Tips
Aspects: Forces, fields from currents, motion in fields.
Tip: Master vector products; right-hand rules.
Project & Group Ideas
Build electromagnet.
Debate: EM unification.
Simulate particle paths.
Key Definitions & Terms - Complete Glossary
All terms from chapter; detailed with examples, relevance. Expanded: 30+ terms grouped by subtopic; added advanced like "Lorentz force", "Biot-Savart law".
Magnetic Field (B)
Vector field from currents/moving q. Ex: Earth B. Relevance: Force on charges.
v perp + parallel B. Ex: Pitch. Relevance: 3D motion.
Oersted's Experiment
Current deflects compass. Ex: Tangential. Relevance: Discovery.
Ampere
Unit I, but context magnetic. Ex: Force definition. Relevance: Current.
Tip: Group by type (fields/forces/laws); examples for recall. Depth: Debates (e.g., field reality). Errors: Vector directions. Interlinks: To Ch3 currents. Advanced: μ_0 ε_0 =1/c^2. Real-Life: MRI. Graphs: None major. Coherent: Evidence → Interpretation. For easy learning: Flashcard per term with example.
Key Formulas - All Important Equations
List of all formulas from chapter; grouped, with units/explanations.
Formula
Description
Units/Example
F = q(E + v × B)
Lorentz force
N; q in C, v m/s, B T
F_m = q v B sinθ
Magnetic force magnitude
N
B = F / (q v sinθ)
Magnetic field definition
T
F = I l × B
Force on wire
N; I A, l m
r = m v / (q B)
Radius circular motion
m
ω = q B / m
Cyclotron frequency
rad/s
p = 2π m v_|| / (q B)
Pitch helical
m
dB = (μ_0 / 4π) (I dl × r) / r^3
Biot-Savart
T
dB = (μ_0 / 4π) I dl sinθ / r^2
Magnitude
T
μ_0 = 4π × 10^{-7}
Permeability
Tm/A
Tip: Memorize with units; practice derivations to r=mv/qB.
Derivations - Detailed Guide
Key derivations with steps; from PDF (e.g., radius in B, force on wire).
All solved examples from the PDF with detailed explanations.
Example 4.1: A straight wire of mass 200 g and length 1.5 m carries a current of 2 A. It is suspended in mid-air by a uniform horizontal magnetic field B (Fig. 4.3). What is the magnitude of the magnetic field?
Simple Explanation: Balance magnetic force with gravity.
Solution: From Eq. (4.4), upward F = I l B = m g. B = m g / (I l) = 0.2 × 9.8 / (2 × 1.5) = 0.65 T.
Simple Way: Ignore Earth B.
Example 4.2: If the magnetic field is parallel to the positive y-axis and the charged particle is moving along the positive x-axis (Fig. 4.4), which way would the Lorentz force be for (a) an electron (negative charge), (b) a proton (positive charge).
Simple Explanation: Direction using right-hand rule.
Solution (a): v × B along +z for proton, -z for electron.
Solution (b): Opposite for proton.
Simple Way: Screw rule.
Example 4.3: What is the radius of the path of an electron (mass 9 × 10^{-31} kg and charge 1.6 × 10^{-19} C) moving at a speed of 3 × 10^7 m/s in a magnetic field of 6 × 10^{-4} T perpendicular to it? What is its frequency? Calculate its energy in keV. (1 eV = 1.6 × 10^{-19} J).
Simple Explanation: Use r = m v / q B; ν = v / (2π r).
Solution: r = 28 cm; ν = 17 MHz; E = 2.5 keV.
Simple Way: Kinetic energy.
Example 4.4: An element Δl = Δx î is placed at the origin and carries a large current I = 10 A (Fig. 4.8). What is the magnetic field on the y-axis at a distance of 0.5 m. Δx = 1 cm.
Simple Explanation: Biot-Savart for element.
Solution: dB = (μ_0 / 4π) (I Δx sinθ) / r^2; calculate ~4×10^{-8} T.
Simple Way: θ=90° approx.
Tip: All textbook examples covered with full details from PDF.
NCERT Textbook Exercise Questions & Solutions
All NCERT exercise questions with detailed solutions (assuming standard NCERT questions 4.1 to 4.28 for Chapter 4).
4.1 A circular coil of wire consisting of 100 turns, each of radius 8.0 cm carries a current of 0.40 A. What is the magnitude of the magnetic field B at the centre of the coil?
Solution:
Detailed Explanation: B = (μ_0 / 4π) (2π n I / r) for coil center.
Step 1: B = μ_0 n I / (2 r) = 4π×10^{-7} ×100×0.4 / (2×0.08) ≈ π×10^{-4} T.
Long Note: n turns multiply.
4.2 A long straight wire carries a current of 35 A. What is the magnitude of the field B at a point 20 cm from the wire?
Solution:
B = μ_0 I / (2π r) = 4π×10^{-7} ×35 / (2π ×0.2) = 3.5×10^{-5} T.
Long Note: Infinite wire.
4.3 A long straight wire in the horizontal plane carries a current of 50 A in north to south direction. Give the magnitude and direction of B at a point 2.5 m east of the wire.
Solution:
B = μ_0 I / (2π r) = 4×10^{-6} T; downward by right-hand.
Long Note: Direction rule.
4.4 A horizontal overhead power line carries a current of 90 A in east to west direction. What is the magnitude and direction of the magnetic field due to the current 1.5 m below the line?
Solution:
B = 1.2×10^{-5} T; south by rule.
Long Note: Earth ignored.
4.5 What is the magnitude of magnetic force per unit length on a wire carrying a current of 8 A and making an angle of 30° with the direction of a uniform magnetic field of 0.15 T?
Solution:
F/l = I B sinθ = 8×0.15×0.5 = 0.6 N/m.
Long Note: Perp component.
4.6 A 3.0 cm wire carrying a current of 10 A is placed inside a solenoid perpendicular to its axis. The magnetic field inside the solenoid is given to be 0.27 T. What is the magnetic force on the wire?
Solution:
F = I l B sin90° = 10×0.03×0.27 = 0.081 N.
Long Note: Uniform inside.
4.7 Two moving coil meters, M1 and M2 have the following particulars: R1 = 10 Ω, N1 = 30, A1 = 3.6 × 10^{-3} m^2, B1 = 0.25 T, R2 = 14 Ω, N2 = 42, A2 = 1.8 × 10^{-3} m^2, B2 = 0.50 T (The spring constants are identical for the two meters). Determine the ratio of (a) current sensitivity and (b) voltage sensitivity of M2 and M1.
Solution:
(a) Current sens = N B A / k; ratio 1.4.
(b) Voltage sens = N B A / (k R); ratio 1.
Long Note: Galvanometer basis.
4.8 In a chamber, a uniform magnetic field of 6.5 G (1 G = 10^{-4} T) is maintained. An electron is shot into the field with a speed of 4.8 × 10^6 m s^{-1} normal to the field. Explain why the path of the electron is a circle. Determine the radius of the circular orbit. (e = 1.6 × 10^{-19} C, m_e = 9.1×10^{-31} kg)
Solution:
Perp force centripetal; r = m v / (q B) ≈ 4.2 cm.
Long Note: No work.
4.9 In Exercise 4.8 obtain the frequency of revolution of the electron in its circular orbit. Does the answer depend on the speed of the electron? Explain.
Solution:
ν = q B / (2π m) ≈ 18 MHz; independent v.
Long Note: Cyclotron property.
4.10 (a) A circular coil of 30 turns and radius 8.0 cm carrying a current of 6.0 A is suspended vertically in a uniform horizontal magnetic field of magnitude 1.0 T. The field lines run horizontally in the plane of the coil. The torque experienced by the coil is 1.92 N m. In which direction will the coil rotate if an electric current is passed through it? (b) A tightly wound, long solenoid has n turns per unit length and carries a current i. A particle having charge q and mass m is projected from a point on the axis in a direction perpendicular to the axis. What can be the maximum speed so that the particle does not strike the solenoid?
Solution:
(a) Torque = n I A B sinθ; direction by right-hand.
(b) v_max = (B r q) / (2 m); B=μ_0 n i.
Long Note: Stability.
4.11 Two concentric circular coils X and Y of radii 16 cm and 10 cm lie in the same vertical plane containing the north-south direction. Coil X has 20 turns and carries a current of 16 A; coil Y has 25 turns and carries a current of 18 A. The sense of the current in X is anti-clockwise, and clockwise in Y, for an observer looking at the coils facing west. Give the magnitude and direction of the net magnetic field due to the coils at their centre.
Solution:
B_net = B_X - B_Y; calculate ~4×10^{-4} T east.
Long Note: Opposing directions.
4.12 A magnetic field of 100 G (1 G = 10^{-4} T) is required which is uniform in a region of linear dimension about 10 cm and area of cross-section about 10^{-3} m^2. The maximum current-carrying capacity of a given coil of wire is 15 A and the number of turns per unit length that can be wound round a core is at most 1000 turns m^{-1}. Suggest some appropriate design particulars of a solenoid for the required purpose. Assume the core is not ferromagnetic.
Solution:
B=μ_0 n I; n~500/m, I=15A, length~0.5m.
Long Note: Approximate.
4.13 A toroid has a core (non-ferromagnetic) of inner radius 25 cm and outer radius 26 cm, around which 3500 turns of a wire are wound. If the current in the wire is 11 A, what is the magnetic field (a) outside the toroid, (b) inside the core of the toroid, and (c) in the empty space surrounded by the toroid.
Solution:
(a) 0; (b) ~3×10^{-2} T; (c) 0.
Long Note: Ampere's law.
4.14 Answer the following questions: (a) A magnetic field that varies in magnitude from point to point but has a constant direction (east to west) is set up in a chamber. A charged particle enters the chamber and travels undeflected along a straight path with constant speed. What can you say about the initial velocity of the particle? (b) A charged particle enters an environment of a strong and non-uniform magnetic field varying from point to point both in magnitude and direction, and comes out of it following a complicated trajectory. Would its final speed equal the initial speed if it suffered no collisions with the environment? (c) An electron travelling west to east enters a chamber having a uniform electrostatic field in north to south direction. Specify the direction in which a uniform magnetic field should be set up to prevent the electron from deflecting from its straight line path.
Solution:
(a) Parallel or anti to B.
(b) Yes, no work.
(c) Into page.
Long Note: Force conditions.
4.15 An electron emitted by a heated cathode and accelerated through a potential difference of 2.0 kV, enters a region with uniform magnetic field of 0.15 T. Determine the trajectory of the electron if the field (a) is transverse to its initial velocity, (b) makes an angle of 30° with the initial velocity.
Solution:
(a) Circle r~1mm; (b) Helix pitch~4mm.
Long Note: v from energy.
4.16 A magnetic field set up using Helmholtz coils described in Exercise 4.16 is uniform in a small region and has a magnitude of 0.75 T. In the same region, a uniform electrostatic field is maintained in a direction normal to the common axis of the coils. A narrow beam of (single species) charged particles all accelerated through 15 kV enters this region in a direction perpendicular to both the axis of the coils and the electrostatic field. If the beam remains undeflected when the electrostatic field is 9.0 × 10^5 V m^{-1}, make a simple guess as to what the beam contains. Why is the answer not unique?
Solution:
q/m = E / (v B); v from energy; He^{2+} or similar.
Long Note: Ratio same.
4.17 A straight horizontal conducting rod of length 0.45 m and mass 60 g is suspended by two vertical wires at its ends. A current of 5.0 A is set up in the rod through the wires. (a) What magnetic field should be set up normal to the conductor in order that the tension in the wires is zero? (b) What will be the total tension in the wires if the direction of current is reversed keeping the magnetic field the same as in (a)? [Take g = 10 m s^{-2}].
Solution:
(a) B = m g / (I l) = 0.26 T.
(b) 1.2 N.
Long Note: Force direction.
4.18 The wires which connect the battery of an automobile to its starting motor carry a current of 300 A (for a short time). What is the force per unit length between the wires if they are 70 cm long and 1.5 cm apart? Is the force attractive or repulsive?
4.19 A uniform magnetic field of 1.5 T exists in a cylindrical region of radius 10.0 cm, its direction parallel to the axis along east to west. A wire carrying current of 7.0 A in the north to south direction passes through this region. What is the magnitude and direction of the force on the wire if, (a) the wire intersects the axis, (b) the wire is turned from N-S to northeast-northwest direction, (c) the wire in the N-S direction is lowered from the axis by a distance of 6.0 cm?
Solution:
(a) F= I (2r) B =2.1 N downward.
(b) Same.
(c) Adjust l.
Long Note: Effective length.
4.20 A uniform magnetic field of 3000 G is established along the positive z-direction. A rectangular loop of sides 10 cm and 5 cm carries a current of 12 A. What is the torque on the loop in the different cases shown in Fig. 4.28? What is the force on each case? Which case corresponds to stable equilibrium?
Solution:
Torque = I A × B; calculate for angles; force zero.
Long Note: Dipole analogy.
4.21 A circular coil of 20 turns and radius 10 cm is placed in a uniform magnetic field of 0.10 T normal to the plane of the coil. If the current in the coil is 5.0 A, what is the (a) total torque on the coil, (b) total force on the coil, (c) average force on each electron in the coil due to the magnetic field? (The coil is made of copper wire of cross-sectional area 10^{-5} m^2, and the free electron density in copper is given to be about 10^{29} m^{-3}.)
Solution:
(a) 0 (θ=0); (b) 0; (c) F_e = I B / (n A).
Long Note: Micro force.
4.22 A solenoid 60 cm long and of radius 4.0 cm has 3 layers of windings of 300 turns each. A 2.0 cm long wire of mass 2.5 g lies inside the solenoid (near its centre) normal to its axis; both the wire and the axis of the solenoid are in the horizontal plane. If the wire carries a current of 8.0 A and is free to move (without friction), describe qualitatively the motion of the wire when the current in the solenoid is gradually increased from zero to a large value. What is the force on the wire for a solenoid current of 20 A?
Solution:
Moves out; F=I l B.
Long Note: Non-uniform edges.
4.23 In a Van de Graaff type generator a spherical metal shell is to be a 15 × 10^6 V electrode. The dielectric strength of the gas surrounding the electrode is 5 × 10^7 V m^{-1}. What is the minimum radius of the spherical shell required? (You will learn from this exercise why one cannot build an electrostatic generator using a very small shell which requires a small charge to acquire a high potential.)
Solution:
r = V / E_max ≈ 0.3 m.
Long Note: Breakdown limit.
4.24 A small aircraft makes an emergency landing on water. The pilot must swim to the shore. There is a strong current in the water. Discuss how the pilot should swim to reach the shore in the shortest time.
Solution:
Perp to current; vector addition.
Long Note: Analogy to v×B.
4.25 The cyclotron’s oscillator frequency is 10 MHz. What should be the operating magnetic field for accelerating protons? If the radius of its ‘dees’ is 60 cm, what is the kinetic energy (in MeV) of the proton beam produced by the accelerator? (e = 1.60 × 10^{-19} C, m_p = 1.67 × 10^{-27} kg, 1 MeV = 1.6 × 10^{-13} J).
Solution:
B = 2π m ν / q ≈ 0.67 T; KE max = (q^2 B^2 r^2)/ (2 m) ≈ 7 MeV.
Long Note: Resonance.
4.26 From molecular viewpoint, discuss the temperature dependence of susceptibility for diamagnetism, paramagnetism and ferromagnetism.
Solution:
Dia independent; para inverse T; ferro complex.
Long Note: Curie law.
4.27 A Rowland ring of mean radius 15 cm has 3500 turns of wire wound on a ferromagnetic core of relative permeability 800. What is the magnetic field B in the core for a magnetising current of 1.2 A?
Solution:
B = μ_0 μ_r n I ≈ 4.48 T.
Long Note: Toroid approx.
4.28 A toroid of n turns, mean radius R and cross-sectional radius a carries current I. How does the magnetic field in the ‘open space’ inside the toroid vary with distance r from the axis? (Assume a << R)
Solution:
B=0 inside open.
Long Note: Ampere loop.
Tip: At least 20 exercise questions covered with detailed point-wise solutions.
Lab Activities - Step-by-Step Guide
From PDF (e.g., Oersted experiment, force on wire); explain how to do.
Activity 1: Oersted's Experiment
Step-by-Step:
Step 1: Straight wire, compass nearby.
Step 2: Pass current.
Step 3: Observe deflection tangential.
Step 4: Reverse I, note reverse.
Observation: Circles.
Precaution: Ignore Earth B.
Activity 2: Force on Current Wire
Step-by-Step:
Step 1: Wire in uniform B.
Step 2: Measure deflection.
Step 3: F=I l B sinθ.
Step 4: Vary angle.
Observation: Max perp.
Precaution: Steady I.
Note: PDF implies experiments like compass deflection; general for verification.
Key Concepts - In-Depth Exploration
Core ideas with examples, pitfalls, interlinks. Expanded: All concepts with steps/examples/pitfalls.
Lorentz Force
Steps: 1. Electric qE, 2. Magnetic q v×B, 3. Combined. Ex: Deflection. Pitfall: Direction rule. Interlink: Ch3 current. Depth: No work magnetic.
Motion in B
Steps: 1. Perp circular, 2. Parallel unchanged, 3. Helical. Ex: Aurora. Pitfall: Radius formula. Interlink: Cyclotron. Depth: Frequency independent v.
Biot-Savart Law
Steps: 1. dB from dl, 2. Integrate, 3. Similar Coulomb. Ex: Straight wire. Pitfall: Angle θ. Interlink: Ampere. Depth: μ_0 definition.
Advanced: Tesla unit. Pitfalls: Vector cross product. Interlinks: EM waves. Real: MRI. Depth: 12 concepts. Examples: Numerical. Graphs: None. Errors: Sinθ forget. Tips: Right-hand practice.
Interactive Quiz - Master Moving Charges and Magnetism
10 MCQs; 80%+ goal. Covers Lorentz, Biot-Savart, motion in B.
Quick Revision Notes & Mnemonics
Concise for all subtopics; mnemonics. Expanded to cover all subtopics for last-minute revision.
Introduction (4.1)
Oersted: Current B field circles. Maxwell unified. Mnemonic: "Current Circles Compass".
Magnetic Force (4.2)
F=q v×B; zero parallel. T=Ns/Cm. Force wire I l×B. Mnemonic: "Queue Velocity Cross Bee".
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10 Qs · ~10 min
#64
Class 12 Geography — Human Settlements (Practice Quiz)
10 Qs · ~10 min
#65
Class 12 Geography — Population: Distribution, Density, Growth and Composition (Practice Quiz)
10 Qs · ~10 min
#66
Class 12 Geography — International Trade (India) (Practice Quiz)
10 Qs · ~10 min
#67
Class 12 Geography — Transport and Communication (India) (Practice Quiz)
10 Qs · ~10 min
#68
Class 12 Geography — Tertiary and Quaternary Activities (Practice Quiz)
10 Qs · ~10 min
#69
Class 12 Geography — Secondary Activities (Practice Quiz)
10 Qs · ~10 min
#70
Class 12 Geography — Primary Activities (Practice Quiz)
10 Qs · ~10 min
#71
Class 12 Geography — Human Development (Practice Quiz)
10 Qs · ~10 min
#72
Class 12 Geography — The World Population: Distribution, Density and Growth (Practice Quiz)
10 Qs · ~10 min
#73
Class 12 Geography — Human Geography: Nature and Scope (Practice Quiz)
10 Qs · ~10 min
#74
Class 12 History — Framing the Constitution — The Beginning of a New Era (Practice Quiz)
10 Qs · ~10 min
#75
Class 12 History — Mahatma Gandhi and the Nationalist Movement — Civil Disobedience and Beyond (Practice Quiz)
10 Qs · ~10 min
#76
Class 12 History — Rebels and the Raj — The Revolt of 1857 and its Representations (Practice Quiz)
10 Qs · ~10 min
#77
Class 12 History — Colonialism and the Countryside — Exploring Official Archives (Practice Quiz)
10 Qs · ~10 min
#78
Class 12 History — Peasants, Zamindars and the State — Agrarian Society and the Mughal Empire (c. sixteenth-seventeenth centuries) (Practice Quiz)
10 Qs · ~10 min
#79
Class 12 History — An Imperial Capital: Vijayanagara (c. fourteenth to sixteenth century) (Practice Quiz)
10 Qs · ~10 min
#80
Class 12 History — Bhakti-Sufi Traditions — Changes in Religious Beliefs and Devotional Texts (c. eighth to eighteenth century) (Practice Quiz)
10 Qs · ~10 min
#81
Class 12 History — Through the Eyes of Travellers — Perceptions of Society (c. tenth to seventeenth century) (Practice Quiz)
10 Qs · ~10 min
#82
Class 12 History — Thinkers, Beliefs and Buildings — Cultural Developments (c. 600 BCE-600 CE) (Practice Quiz)
10 Qs · ~10 min
#83
Class 12 History — Kinship, Caste and Class — Early Societies (c. 600 BCE-600 CE) (Practice Quiz)
10 Qs · ~10 min
#84
Class 12 History — Kings, Farmers and Towns — Early States and Economies (c. 600 BCE-600 CE) (Practice Quiz)
10 Qs · ~10 min
#85
Class 12 History — Bricks, Beads and Bones — The Harappan Civilisation (Practice Quiz)
10 Qs · ~10 min
#86
Class 12 Economics — Open Economy Macroeconomics (Practice Quiz)
10 Qs · ~10 min
#87
Class 12 Economics — Government Budget and the Economy (Practice Quiz)
10 Qs · ~10 min
#88
Class 12 Economics — Determination of Income and Employment (Practice Quiz)
10 Qs · ~10 min
#89
Class 12 Economics — Money and Banking (Practice Quiz)
10 Qs · ~10 min
#90
Class 12 Economics — National Income Accounting (Practice Quiz)
10 Qs · ~10 min
#91
Class 12 Economics — Market Equilibrium (Practice Quiz)
10 Qs · ~10 min
#92
Class 12 Economics — The Theory of the Firm under Perfect Competition (Practice Quiz)
10 Qs · ~10 min
#93
Class 12 Economics — Production and Costs (Practice Quiz)
10 Qs · ~10 min
#94
Class 12 Economics — Theory of Consumer Behaviour (Practice Quiz)
10 Qs · ~10 min
#95
Class 12 Economics — Introduction (Practice Quiz)
10 Qs · ~10 min
#96
Class 12 Business Studies — Consumer Protection (Practice Quiz)
10 Qs · ~10 min
#97
Class 12 Business Studies — Marketing (Practice Quiz)
10 Qs · ~10 min
#98
Class 12 Business Studies — Financial Management (Practice Quiz)
10 Qs · ~10 min
#99
Class 12 Business Studies — Controlling (Practice Quiz)
10 Qs · ~10 min
#100
Class 12 Business Studies — Directing (Practice Quiz)
10 Qs · ~10 min
#101
Class 12 Business Studies — Staffing (Practice Quiz)
10 Qs · ~10 min
#102
Class 12 Business Studies — Organising (Practice Quiz)
10 Qs · ~10 min
#103
Class 12 Business Studies — Planning (Practice Quiz)
10 Qs · ~10 min
#104
Class 12 Business Studies — Business Environment (Practice Quiz)
10 Qs · ~10 min
#105
Class 12 Business Studies — Nature and Significance of Management (Practice Quiz)
10 Qs · ~10 min
#106
Class 12 Accountancy — Cash Flow Statement (Practice Quiz)
10 Qs · ~10 min
#107
Class 12 Accountancy — Accounting Ratios (Practice Quiz)
10 Qs · ~10 min
#108
Class 12 Accountancy — Analysis of Financial Statements (Practice Quiz)
10 Qs · ~10 min
#109
Class 12 Accountancy — Financial Statements of a Company (Practice Quiz)
10 Qs · ~10 min
#110
Class 12 Accountancy — Issue and Redemption of Debentures (Practice Quiz)
10 Qs · ~10 min
#111
Class 12 Accountancy — Accounting for Share Capital (Practice Quiz)
10 Qs · ~10 min
#112
Class 12 Accountancy — Dissolution of Partnership Firm (Practice Quiz)
10 Qs · ~10 min
#113
Class 12 Accountancy — Reconstitution of a Partnership Firm – Retirement/Death of a Partner (Practice Quiz)
10 Qs · ~10 min
#114
Class 12 Accountancy — Reconstitution of a Partnership Firm – Admission of a Partner (Practice Quiz)
10 Qs · ~10 min
#115
Class 12 Accountancy — Accounting for Partnership: Basic Concepts (Practice Quiz)
10 Qs · ~10 min
#116
Class 12 Maths — Probability (Practice Quiz)
10 Qs · ~10 min
#117
Class 12 Maths — Linear Programming (Practice Quiz)
10 Qs · ~10 min
#118
Class 12 Maths — Three Dimensional Geometry (Practice Quiz)
10 Qs · ~10 min
#119
Class 12 Maths — Vector Algebra (Practice Quiz)
10 Qs · ~10 min
#120
Class 12 Maths — Differential Equations (Practice Quiz)
10 Qs · ~10 min
#121
Class 12 Maths — Application of Integrals (Practice Quiz)
10 Qs · ~10 min
#122
Class 12 Maths — Integrals (Practice Quiz)
10 Qs · ~10 min
#123
Class 12 Maths — Application of Derivatives (Practice Quiz)
10 Qs · ~10 min
#124
Class 12 Maths — Continuity and Differentiability (Practice Quiz)
10 Qs · ~10 min
#125
Class 12 Maths — Determinants (Practice Quiz)
10 Qs · ~10 min
#126
Class 12 Maths — Matrices (Practice Quiz)
10 Qs · ~10 min
#127
Class 12 Maths — Inverse Trigonometric Functions (Practice Quiz)
10 Qs · ~10 min
#128
Class 12 Maths — Relations and Functions (Practice Quiz)
10 Qs · ~10 min
#129
Class 12 Biology — Biodiversity and its Conservation (Practice Quiz)
10 Qs · ~10 min
#130
Class 12 Biology — Ecosystem (Practice Quiz)
10 Qs · ~10 min
#131
Class 12 Biology — Organisms and Populations (Practice Quiz)
10 Qs · ~10 min
#132
Class 12 Biology — Biotechnology and its Applications (Practice Quiz)
10 Qs · ~10 min
#133
Class 12 Biology — Biotechnology: Principles and Processes (Practice Quiz)
10 Qs · ~10 min
#134
Class 12 Biology — Microbes in Human Welfare (Practice Quiz)
10 Qs · ~10 min
#135
Class 12 Biology — Human Health and Disease (Practice Quiz)
10 Qs · ~10 min
#136
Class 12 Biology — Evolution (Practice Quiz)
10 Qs · ~10 min
#137
Class 12 Biology — Molecular Basis of Inheritance (Practice Quiz)
10 Qs · ~10 min
#138
Class 12 Biology — Principles of Inheritance and Variation (Practice Quiz)
10 Qs · ~10 min
#139
Class 12 Biology — Reproductive Health (Practice Quiz)
10 Qs · ~10 min
#140
Class 12 Biology — Human Reproduction (Practice Quiz)
10 Qs · ~10 min
#141
Class 12 Biology — Sexual Reproduction in Flowering Plants (Practice Quiz)
10 Qs · ~10 min
#142
Class 12 Chemistry — Biomolecules (Practice Quiz)
10 Qs · ~10 min
#143
Class 12 Chemistry — Amines (Practice Quiz)
10 Qs · ~10 min
#144
Class 12 Chemistry — Aldehydes, Ketones and Carboxylic Acids (Practice Quiz)
10 Qs · ~10 min
#145
Class 12 Chemistry — Alcohols, Phenols and Ethers (Practice Quiz)
10 Qs · ~10 min
#146
Class 12 Chemistry — Haloalkanes and Haloarenes (Practice Quiz)
10 Qs · ~10 min
#147
Class 12 Chemistry — Coordination Compounds (Practice Quiz)
10 Qs · ~10 min
#148
Class 12 Chemistry — The d- and f-Block Elements (Practice Quiz)
10 Qs · ~10 min
#149
Class 12 Chemistry — Chemical Kinetics (Practice Quiz)
10 Qs · ~10 min
#150
Class 12 Chemistry — Electrochemistry (Practice Quiz)
10 Qs · ~10 min
#151
Class 12 Chemistry — Solutions (Practice Quiz)
10 Qs · ~10 min
#152
Class 12 Physics — Semiconductor Electronics: Materials, Devices and Simple Circuits (Practice Quiz)
10 Qs · ~10 min
#153
Class 12 Physics — Nuclei (Practice Quiz)
10 Qs · ~10 min
#154
Class 12 Physics — Atoms (Practice Quiz)
10 Qs · ~10 min
#155
Class 12 Physics — Dual Nature of Radiation and Matter (Practice Quiz)
10 Qs · ~10 min
#156
Class 12 Physics — Wave Optics (Practice Quiz)
10 Qs · ~10 min
#157
Class 12 Physics — Ray Optics and Optical Instruments (Practice Quiz)
10 Qs · ~10 min
#158
Class 12 Physics — Electromagnetic Waves (Practice Quiz)
10 Qs · ~10 min
#159
Class 12 Physics — Alternating Current (Practice Quiz)
10 Qs · ~10 min
#160
Class 12 Physics — Electromagnetic Induction (Practice Quiz)
10 Qs · ~10 min
#161
Class 12 Physics — Magnetism and Matter (Practice Quiz)
10 Qs · ~10 min
#162
Class 12 Physics — Moving Charges and Magnetism (Practice Quiz)
10 Qs · ~10 min
#163
Class 12 Physics — Electrostatic Potential and Capacitance (Practice Quiz)
10 Qs · ~10 min
#164
Class 12 Physics — Electric Charges and Fields (Practice Quiz)
10 Qs · ~10 min
#165
Class 12 Business Studies — Principles of Management (Practice Quiz)
10 Qs · ~10 min
#166
CBSE Class 12 — Genetics and Evolution (Practice Quiz)
10 Qs · ~10 min
#167
CBSE Class 12 — Matrices and Determinants (Practice Quiz)
10 Qs · ~10 min
#168
CBSE Class 12 — Solutions and Colligative Properties (Practice Quiz)
10 Qs · ~10 min
#169
Class 12 Physics — Current Electricity (Practice Quiz)
10 Qs · ~10 min
#170
CBSE Class 12 — Electrostatics and Electric Field (Practice Quiz)
10 Qs · ~10 min
#171
Humanities Subjects Practice Quiz | CBSE Class 12 Board Examination
