CBSE Class 12 questions and answers
Class 12 maths, physics and chemistry concepts, organized by subject.
The CBSE label describes the intended study track, not an endorsement or a verified mapping to the latest syllabus. These are practice variations, many generated from templates and numeric inputs, not an official question bank. They remain outside search indexing until at least 100 independently reviewed questions across five chapters are available.
Questions and clear answers
01Mathematics · foundation · Editorial previewWhat is the derivative of sin x?+
Its derivative is cos x when x is measured in radians.
02Physics · foundation · Editorial previewWhat is the unit of capacitance?+
The farad is the SI unit of electric capacitance, equal to one coulomb per volt.
03Mathematics · foundation · Editorial previewWhat is a definite integral?+
Under suitable conditions, it measures the signed area between a function and the horizontal axis.
04Chemistry · foundation · Editorial previewWhat does an electrolyte conduct by?+
An electrolyte carries electrical current through moving ions when dissolved or molten.
05Mathematics · Differential calculus · advanced · Editorial previewIn cbse class 12 — Differential calculus: Differentiate 17x^8 with respect to x.+
Power rule: d/dx [17x^8] = 136x^7.
06Mathematics · Integrals · foundation · Editorial previewIn cbse class 12 — Integrals: Evaluate the definite integral of 48x from x = 0 to x = 13.+
An antiderivative is 24x². Evaluating from 0 to 13 gives 4056.
07Mathematics · Vectors · foundation · Editorial previewIn cbse class 12 — Vectors: Vector u = (459, 5) and v = (8, 3). Find u + v.+
Add coordinates: (467, 8).
08Mathematics · Probability · intermediate · Editorial previewIn cbse class 12 — Probability: A bag contains 1070 blue tokens and 37 red tokens. What is the probability of randomly drawing a red token?+
There are 1107 tokens, so P(red) = 37/1107 ≈ 0.0334.
09Mathematics · Matrices · foundation · Editorial previewIn cbse class 12 — Matrices: Matrix A = [[1681, 10], [22, 17]]. Find its trace.+
Trace is the sum of diagonal entries: 1681 + 17 = 1698.
10Physics · Current electricity · advanced · Editorial previewIn cbse class 12 — Current electricity: A resistor of 6 Ω carries 7 A of current. Find the voltage.+
V = IR = 7 × 6 = 42 volts, assuming Ohm's law applies.
11Physics · Electrostatics · intermediate · Editorial previewIn cbse class 12 — Electrostatics: A device operates at 130 volts and draws 14 amperes. Find electrical power.+
P = VI = 130 × 14 = 1820 watts.
12Physics · Wave optics · foundation · Editorial previewIn cbse class 12 — Wave optics: A wave has frequency 200 Hz and runs for 4 seconds. Find its period and total cycles.+
Period = 1/200 ≈ 0.005 s; total cycles = frequency × time = 800.
13Chemistry · Solutions · foundation · Editorial previewIn cbse class 12 — Solutions: Dissolve 4 mol of solute and make up 11 litres of solution. Find molarity.+
Molarity = moles/volume = 4/11 ≈ 0.3636 mol/L.
14Chemistry · Electrochemistry · intermediate · Editorial previewIn cbse class 12 — Electrochemistry: In 1 vessels, each contains 22 mol H₂ and sufficient O₂ for 2H₂ + O₂ → 2H₂O. What total moles of H₂O could form?+
Each vessel makes 22 mol H₂O from 22 mol H₂; total = 1 × 22 = 22 mol H₂O.
15Chemistry · Chemical kinetics · advanced · Editorial previewIn cbse class 12 — Chemical kinetics: A simulated reaction consumes 348 mmol of reactant over 18 seconds. Find its average consumption rate.+
Average rate = 348/18 ≈ 19.3333 mmol/s.
16Mathematics · Applied mathematics · foundation · Editorial previewIn cbse class 12 — Applied mathematics: Calculate simple interest on ₹95900 at 2% per year for 15 years.+
SI = PRT/100 = 95900 × 2 × 15/100 = ₹28770.
17Mathematics · Differential calculus · intermediate · Editorial previewIn cbse class 12 — Differential calculus: Differentiate 9x^7 with respect to x.+
Power rule: d/dx [9x^7] = 63x^6.
18Mathematics · Integrals · foundation · Editorial previewIn cbse class 12 — Integrals: Evaluate the definite integral of 32x from x = 0 to x = 12.+
An antiderivative is 16x². Evaluating from 0 to 12 gives 2304.
This is an educational practice preview. Answers and board-specific alignment are undergoing editorial review; these are not official exam questions.