# CUET Science

## CUET Science Practice Questions (Subject Wise)

## Subjects and Patterns of CUET Science

Students who are preparing for CUET Science must understand the exam pattern and its preparation. If you want to take admitted to 100 plus universities then you must appear for the CUET entrance exam which is conducted by NTA. We have prepared detailed subject notes, MCQ questions and information related to CUET Science.

## CUET Science, Pattern of Exam

**Weightage and time allotment for CUET Science Exams**

Sections Number of questions Time allotment

Section 1A: Language test 40 out of 50 questions 45 Minutes

Section 1B: Language test

Section 2: Domain-specific test 40 out of 50 questions 45 Minutes

Section 3: General aptitude test. 60 out of 75 questions 60 Minutes

From the above section, you can take up to nine tests. There are a total of 03 (3) languages from Sections IA and IB, 05, Domain Subjects from Section II, and 03, and General Tests from Section I.

### CUET Physics syllabus

**CUET Physics Unit-1 Electrostatics**

Electric charges and their conservation. Coulomb’s law – force between two point charges, forces between multiple charges; superposition principle, and continuous charge distribution.

Electric field, electric field due to a point charge, electric field lines; electric dipole, electric field due to a dipole; torque on a dipole in a uniform electric field.

Electric flux, a statement of Gauss’s theorem and its applications to finding field due to infinitely long straight wire, uniformly charged infinite plane sheet, and uniformly charged thin spherical shell (field inside and outside).

Electric potential, potential difference, electric potential due to a point charge, a dipole and system of charges; equipotential surfaces, the electrical potential energy of a system of two point charges, and electric dipoles in an electrostatic field.

Conductors and insulators, free charges, and bound charges inside a conductor. Dielectrics and electric polarisation, capacitors and capacitance, the combination of capacitors in series and in parallel, the capacitance of a parallel plate capacitor with and without dielectric medium between the plates, energy stored in a capacitor, Van de Graaff generator.

**CUET Physics Unit.2. Current Electricity**

Electric current, the flow of electric charges in a metallic conductor, drift velocity and mobility, and their relation with electric current; Ohm’s law, electrical resistance, V-I characteristics (linear and nonlinear), electrical energy and power, electrical resistivity and conductivity.Carbon resistors, colour code for carbon resistors; series and parallel combinations of resistors; temperature dependence of resistance.The internal resistance of a cell, potential difference, and emf of a cell, combination of cells in series and in parallel.Kirchhoff ’s laws and simple applications. Wheatstone bridge, metre bridge.

Potentiometer – principle, and applications to measure potential difference, and for comparing emf of two cells; measurement of internal resistance of a cell.

**CUET Physics Unit.3.Magnetic Effects of Current and Magnetism**

Concept of the magnetic field, Oersted’s experiment. Biot - Savart law and its application to the current-carrying circular loop. Ampere’s law and its applications to infinitely long straight wire, straight and toroidal solenoids. Force on a moving charge in uniform magnetic and electric fields. Cyclotron.Force on a current-carrying conductor in a uniform magnetic field. The force between two parallel current-carrying conductors – definition of ampere. Torque experienced by a current loop in a magnetic field; moving coil galvanometer – its current sensitivity and conversion to ammeter and voltmeter. Current loop as a magnetic dipole and its magnetic dipole moment. The magnetic dipole moment of a revolving electron. Magnetic field intensity is due to a magnetic dipole (bar magnet) along its axis and perpendicular to its axis. Torque on a magnetic dipole (bar magnet) in a uniform magnetic field; bar magnet as an equivalent solenoid, magnetic field lines; Earth’s magnetic field and magnetic elements. Para-, dia- and ferromagnetic substances, with examples. Electromagnets and factors affecting their strengths. Permanent magnets.

**CUET Physics Unit.4.**

Electromagnetic Induction and Alternating Currents Electromagnetic induction; Faraday’s law, induced emf and current; Lenz’s Law, Eddy currents. Self and mutual inductance. Alternating currents, peak and RMS value of alternating current/voltage; reactance and impedance; LC oscillations (qualitative treatment only), LCR series circuit, resonance; power in AC circuits, wattles current.AC generator and transformer.

**CUET Physics Unit.5. Electromagnetic Waves**

Need for displacement current. Electromagnetic waves and their characteristics (qualitative ideas only).

Transverse nature of electromagnetic waves.

The electromagnetic spectrum (radio waves, microwaves, infrared, visible, ultraviolet, x-rays, gamma rays) includes elementary facts about their uses.

**CUET Physics Unit.6. Optics**

Reflection of light, spherical mirrors, mirror formula. Refraction of light, total internal reflection, and its applications, optical fibres, refraction at spherical surfaces, lenses, thin lens formula, lens maker's formula. Magnification, power of a lens, combination of thin lenses in contact combination of a lens and a mirror. Refraction and dispersion of light through a prism. Scattering of light–blue colour of the sky and reddish appearance of the sun at sunrise and sunset.

Optical instruments: Human eye, image formation, and accommodation, correction of eye defects (myopia and hypermetropia) using lenses.Microscopes and astronomical telescopes (reflecting and refracting) and their magnifying powers.

Wave optics: Wavefront and Huygens’ principle, reflection, and refraction of plane waves at a plane surface using wavefronts.

Proof of laws of reflection and refraction using Huygens’ principle.

Interference, Young’s double hole experiment and expression for fringe width, coherent sources, and sustained interference of light.

Diffraction due to a single slit, width of central maximum.Resolving the power of microscopes and astronomical telescopes. Polarisation, plane polarised light; Brewster’s law, uses of plane polarised light and Polaroids.

**CUET Physics Unit.7.** **Dual Nature of Matter and Radiation**

Photoelectric effect, Hertz and Lenard’s observations; Einstein’s photoelectric equation – particle nature of light.Matter wave-wave nature of particles, de Broglie relation. Davisson-Germer experiment (experimental details should be omitted; only the conclusion should be explained.)

**CUET Physics Unit.8** **Atoms and Nuclei**

Alpha - particle scattering experiment; Rutherford’s model of atom; Bohr model, energy levels, hydrogen spectrum. Composition and size of nucleus, atomic masses, isotopes, isobars; isotones.

Radioactivity – alpha, beta, and gamma particles/rays, and their properties; radioactive decay law. Mass energy relation, mass defect; binding energy per nucleon and its variation with mass number; nuclear fission and fusion.

**CUET Physics Unit.9. Electronic Devices**

Energy bands in solids (qualitative ideas only), conductors, insulators, and semiconductors; semiconductor diode – I-V characteristics in forward and reverse bias, diode as a rectifier; I-V characteristics of LED, photodiode, solar cell, and Zener diode; Zener diode as a voltage regulator. Junction transistor, transistor action, characteristics of a transistor; transistor as an amplifier (common emitter configuration) and oscillator. Logic gates (OR, AND, NOT, NAND and NOR). Transistor as a switch.

**CUET Physics Unit.10.Communication Systems**

Elements of a communication system (block diagram only); bandwidth of signals (speech, TV, and digital data); bandwidth of transmission medium. Propagation of electromagnetic waves in the atmosphere, sky, and space wave propagation. Need for modulation. Production and detection of an amplitude-modulated wave.

### CUET Maths syllabus

**CUET Maths Algebra**

(i) Matrices and types of Matrices

(ii) Equality of Matrices, transpose of a Matrix, Symmetric and Skew Symmetric Matrix

(iii) Algebra of Matrices

(iv) Determinants

(v) Inverse of a Matrix

(vi) Solving of simultaneous equations using Matrix Method

**CUET Maths Calculus**

(i) Higher-order derivatives

(ii) Tangents and Normals

(iii) Increasing and Decreasing Functions

(iv) Maxima and Minima

**CUET Maths Integration and its Applications**

(i) Indefinite integrals of simple functions

(ii) Evaluation of indefinite integrals

(iii) Definite Integrals

(iv). Application of Integration as area under the curve

**CUET Maths Differential Equations**

(i) Order and degree of differential equations

(ii) Formulating and solving of differential equations with variable separable

**CUET Maths Probability Distributions**

(i) Random variables and their probability distribution

(ii) Expected value of a random variable

(iii) Variance and Standard Deviation of a random variable

(iv) Binomial Distribution

**CUET Maths Linear Programming **

(i) Mathematical formulation of Linear Programming Problem

(ii) Graphical method of solution for problems in two variables

(iii) Feasible and infeasible regions

(iv) Optimal feasible solution

### Section B1: Mathematics

**CUET Maths Unit-1 RELATIONS AND FUNCTIONS**

Relations and Functions

Types of relations: Reflexive, symmetric, transitive and equivalence relations. One to one and onto functions, composite functions, the inverse of a function. Binary operations. Inverse Trigonometric Functions

Definition, range, domain, principal value branches. Graphs of inverse trigonometric functions. Elementary Properties Of Inverse trigonometric functions.

**CUET Maths Unit-2 Matrices**

Concept, notation, order, equality, types of matrices, zero matrix, transpose of a matrix, symmetric and skew-symmetric matrices. Addition, multiplication, and scalar multiplication of matrices, simple properties of addition, multiplication, and scalar multiplication. Non-commutativity of multiplication of matrices and existence of non-zero matrices whose product is the zero matrix (restricted to square matrices of order 2). Concept of elementary row and column operations. Invertible matrices and proof of the uniqueness of inverse, if it exists; (Here all matrices will have real entries).

**CUET Maths Unit-3 Determinants**

Determinants of a square matrix (upto3×3matrices), properties of determinants, minors, co-factors, and applications of determinants in finding the area of a triangle. Adjoint and inverse of a square matrix. Consistency, inconsistency, and a number of solutions of a system of linear equations by examples, solving systems of linear equations in two or three variables (having unique solution) using the inverse of a matrix.

**CUET Maths Unit-4 CALCULUS**

Continuity and Differentiability

Continuity and differentiability, a derivative of composite functions, chain rule, derivatives of inverse Trigonometric functions, and derivative of implicit function. Concepts of exponential, logarithmic functions. Derivatives of log x and ex. Logarithmic differentiation. Derivative of functions expressed in parametric forms. Second-order derivatives.Rolle’s and Lagrange’s Mean ValueTheorems (without proof) and their geometric interpretations.

Applications of Derivatives

Applications of derivatives: Rate of change, increasing/decreasing functions, tangents and normals, approximation, maxima, and minima (first derivative test motivated geometrically and second derivative test given as a provable tool).Simple problems (that illustrate basic principles and understanding of the subject as well as real-life situations). Tangent and Normal.

Integrals

Integration as an inverse process of differentiation. Integration of a variety of functions by substitution, partial fractions, and parts, only simple integrals of the type – is to be evaluated.–is to be evaluated. Definite integrals as a limit of a sum. Fundamental Theorem of Calculus(without proof). Basic properties of definite integrals and evaluation of definite integrals.

Applications of the Integrals

Applications in finding the area under simple curves, especially lines, arcs of circles/parabolas/ellipses (in standard form only), area between the two above said curves (the region should be clearly identifiable).

Differential Equations

Definition, order, and degree, general and particular solutions of a differential equation. Formation of differential equations whose general solution is given.Solution of differential equations by the method of separation of variables, homogeneous differential equations of first order, and first degree. Solutions of linear differential equation of the type –

**CUET Maths Unit-5 VECTORS AND THREE - DIMENSIONAL GEOMETRY**

Vectors

Vectors and scalars, magnitude and direction of a vector. Direction cosines/ratios of vectors.Types of vectors(equal, unit, zero, parallel and collinear vectors), position vector of a point, negative of a vector, components of a vector, the addition of vectors, multiplication of a vector by a scalar, position vector of a point dividing a line segment in a given ratio. Scalar(dot) product of vectors, projection of a vector on a line.Vector(cross) product of vectors, scalar triple product.

Three-dimensional Geometry

Direction cosines/ratios of a line joining two points.Cartesian and vector equation of a line, coplanar and skew lines, the shortest distance between two lines.Cartesian and vector equation of a plane.The angle between (i)two lines,(ii)two planes, and (iii) a line and a plane.Distance of a point from a plane.

LINEAR PROGRAMMING

Introduction, related terminology such as constraints, objective function, optimization, different types of linear programming(L.P.) problems, mathematical formulation of L.P .problems, graphical method of solution for problems in two variables, feasible and infeasible regions, feasible and infeasible solutions, optimal feasible solutions (up to three non-trivial constraints).

**CUET Maths Unit-7 PROBABILITY**

Multiplications theorem on probability. Conditional probability, independent events, total probability, Baye’s theorem. Random variable and its probability distribution, mean, and variance of haphazard variable. Repeated independent(Bernoulli) trials and binomial distribution.

**CUET Maths Section B2: Applied Mathematics**

Modulo Arithmetic

∙ Define the modulus of an integer

∙ Apply arithmetic operations using modular arithmetic rules

Congruence Modulo

∙ Define congruence modulo

∙ Apply the definition in various problems

Allegation and Mixture

∙ Understand the rule of allegation to produce a mixture at a given price

∙ Determine the mean price of a mixture

∙ Apply rule of allegation

Numerical Problems

∙ Solve real life problems mathematically

Boats and Streams

∙ Distinguish between upstream and downstream

∙ Express the problem in the form of an equation

Pipes and Cisterns

∙ Determine the time taken by two or more pipes to fill

Races and Games

∙ Compare the performance of two players w.r.t. time,

∙ distance taken/distance covered/ Work done from the given data

Partnership

∙ Differentiate between active partner and sleeping partner

∙ Determine the gain or loss to be divided among the partners in the ratio of their investment with due

∙ consideration of the time volume/surface area for solid formed using two or more shapes

Numerical Inequalities

∙ Describe the basic concepts of numerical inequalities

∙ Understand and write numerical inequalities

ALGEBRA

Matrices and types of matrices

∙ Define matrix

∙ Identify different kinds of matrices

Equality of matrices, Transpose of matrix, Symmetric and Skew symmetric matrix

∙ Determine equality of two matrices

∙ Write transpose of given matrix

∙ Define symmetric and skew-symmetric matrix

**CALCULUS**

Higher Order Derivatives

∙ Determine second and higher-order derivatives

∙ Understand differentiation of parametric functions and implicit functions Identify dependent and independent variables

Marginal Cost and Marginal Revenue using derivatives

∙ Define marginal cost and marginal revenue

∙ Find marginal cost and marginal revenue

Maxima and Minima

∙ Determine critical points of the function

∙ Find the point(s) of local maxima and local minima and corresponding local maximum and local minimum values

∙ Find the absolute maximum and absolute minimum value of a function

**PROBABILITY DISTRIBUTIONS**

Probability Distribution

∙ Understand the concept of Random Variables and its Probability Distributions

∙ Find the probability distribution of the discrete random variable

Mathematical Expectation

∙ Apply arithmetic mean of frequency distribution to find the expected value of a random variable

Variance

∙ Calculate the Variance and S.D.of a random variable

**INDEX NUMBERS AND TIME-BASED DATA**

Index Numbers

∙ Define Index numbers as a special type of average Construction of Index numbers

∙ Construct different type of index numbers

Test of Adequacy of Index Numbers

∙ Apply time reversal test

**INDEX NUMBERS AND TIME-BASED DATA**

Population and Sample

∙ Define Population and Sample

∙ Differentiate between population and sample

∙ Define a representative sample from a population

Parameter and Statistics and Statistical Interferences

∙ Define Parameter with reference to Population

∙ Define Statistics with reference to Sample

∙ Explain the relation between Parameter and Statistic

∙ Explain the limitation of Statistics to generalize the estimation for population

∙ Interpret the concept of Statistical Significance and Statistical Inferences

∙ State Central Limit Theorem

∙ Explain the relation between Population-Sampling Distribution-Sample

INDEX NUMBERS AND TIME-BASED DATA

Time Series

∙ Identify time series chronological data

Components of Time Series

∙ Distinguish between different components of time series

Time Series analysis for univariate data

∙ Solve practical problems based on statistical data and Interpret

FINANCIAL MATHEMATICS

Perpetuity, Sinking Funds

∙ Explain the concept of perpetuity and sinking fund

∙ Calculate perpetuity

∙ Differentiate between sinking fund and saving account

Valuation of Bonds

∙ Define the concept of valuation of bond and related terms

∙ Calculate value of bond using present value approach

Calculation of EMI

∙ Explain the concept of EMI

∙ Calculate EMI using various methods

Linear method of Depreciation

∙ Define the concept of the linear method of Depreciation

∙ Interpret cost, residual value, and useful life of an asset from the given information

∙ Calculate depreciatioN

LINEAR PROGRAMMING

Introduction And related terminology

∙ Familiarize with terms related to Linear Programming Problem

Mathematical Formulation of Linear Programming Problem

∙ Formulate Linear Programming Problem

Different types of Linear Programming Problems

∙ Identify and formulate different types of LPP

Graphical Method of Solution for problems in two Variables

∙ Draw the Graph for a system of linear inequalities involving two variables and to find its solution graphically

Feasible and Infeasible Regions

∙ Identify feasible, infeasible unbounded regions Feasible and infeasible solutions, optimal feasible solution

∙ Understand feasible and infeasible solutions

∙ Find the optimal feasible solution

### CUET Chemistry Syllabus

**CUET Chemistry unit-1 Solid state**

Classification of solids based on different binding forces: molecular, ionic covalent, and metallic solids, amorphous and crystalline solids(elementary idea), unit cell in two-dimensional and three-dimensional lattices, calculation of density of unit cell, packing in solids, packing efficiency, voids, number of atoms per unit cell in a cubic unit cell, point defects, electrical and magnetic properties, Band theory of metals, conductors, semiconductors and insulators and n and p-type semiconductors.

**CUET Chemistry unit-2 Solutions**

Types of solutions, expression of concentration of solutions of solids in liquids, the solubility of gasses in liquids, solid solutions, colligative properties – the relative lowering of vapour pressure, Raoult’s law, elevation of B.P., depression of freezing point, determination of molecular masses using colligative properties, abnormal molecular mass, Van't Hoff factor.

**CUET Chemistry unit-3 Electrochemistry**

Redox reactions; conductance in electrolytic solutions, specific and molar conductivity variations of conductivity with concentration, Kohlrausch’s Law, electrolysis and laws of electrolysis. (elementary idea), dry cell – electrolytic cells and Galvanic cells; lead accumulator, EMF of a cell, standard electrode potential, Nernst equation and its application to chemical cells. Relation between Gibbs energy change and EMF of a cell, fuel cells; corrosion.

**CUET Chemistry unit-4 Chemical Kinetics**

Rate of a reaction (average and instantaneous), factors affecting rates of reaction: concentration, temperature, catalyst; order and molecularity of a reaction; rate law and specific rate constant, integrated rate equations, and half-life (only for zero and first-order reactions); concept of collision theory (elementary idea, no mathematical treatment).Activation Energy, Arrhenius equation.

**CUET Chemistry unit-5 Surface Chemistry**

Adsorption – physisorption and chemisorption; factors affecting adsorption of gasses on solids; catalysis: homogeneous and heterogeneous, activity and selectivity: enzyme catalysis; colloidal state: the distinction between true solutions, colloids, and suspensions; lyophilic, lyophobic multimolecular and macromolecular colloids; properties of colloids; Tyndall effect, Brownian movement, electrophoresis, coagulation; emulsions – types of emulsions.

**CUET Chemistry unit-6 General Principles and Processes of Isolation of Elements**

Principles and methods of extraction – concentration, oxidation, reduction electrolytic method, and refining; occurrence and principles of extraction of aluminum, copper, zinc, and iron.

**CUET Chemistry unit-7 p-Block Elements**

Group 15 Elements

Group 16 Elements

Group 17 Elements

Group 18 Elements

**CUET Chemistry unit-8 d and f block Elements**

General introduction, electronic configuration, occurrence and characteristics of transition metals, general trends in properties of the first-row transition metals – metallic character, ionization enthalpy, oxidation states, ionic radii, colour, catalytic property, magnetic properties, interstitial compounds, alloy formation. Preparation and properties of K2Cr2O7 and KMnO4. Lanthanoids & Actinoids.

**CUET Chemistry unit-9 Coordination compounds**

Introduction, ligands, coordination number, colour, magnetic properties and shapes, IUPAC nomenclature of mononuclear coordination compounds, bonding, Werner’s theory VBT, CFT; isomerism (structural and stereo)importance of coordination compounds.

**CUET Chemistry unit-10 Haloalkanes and Haloarenes**

Haloalkanes: Nomenclature, nature ofC-X bond, physical and chemical properties, mechanism of substitution reactions. Optical rotation. Haloarenes: Nature of C-X bond, substitution reactions (directive influence of halogen for monosubstituted compounds only). Uses And Environmental Effects Of–dichloromethane, trichloromethane, tetrachloromethane, iodoform, freons, DDT.

**CUET Chemistry unit-11 Alcohols, Phenols, and Ethers**

Alcohols: Nomenclature, methods of preparation, physical and chemical properties (of primary alcohols only); identification of primary, secondary, and tertiary alcohols; mechanism of dehydration, uses, with special reference to methanol and ethanol. Phenols: Nomenclature, methods of preparation, physical and chemical properties, acidic nature of phenol, electrophilic substitution reactions, uses of phenols. Ethers: Nomenclature, methods of preparation, physical and chemical properties, uses.

**CUET Chemistry unit-12 Aldehydes, Ketones, and Carboxylic Acids**

Aldehydes and Ketones: Nomenclature, nature of carbonyl group, methods of preparation, physical and chemical properties, mechanism of nucleophilic addition, the reactivity of alpha hydrogen in aldehydes; uses. Carboxylic Acids: Nomenclature, acidic nature, methods of preparation, physical and chemical properties; uses.

**CUET Chemistry unit-13 Organic Compounds Containing Nitrogen**

Amines: Nomenclature, classification, structure, methods of preparation, physical and chemical properties, uses, identification of primary secondary, and tertiary amines. Cyanides and Isocyanides – will be mentioned at relevant places in context. Diazonium salts: Preparation, chemical reactions, and importance in synthetic organic chemistry.

**CUET Chemistry unit-14 Biomolecules**

Carbohydrates & Proteins

Hormones –Elementary idea (excluding structure). Vitamins – Classification and functions. Nucleic Acids: DNA and RNA.

**CUET Chemistry unit-15 Polymers**

Classification – Natural and synthetic, methods of polymerization (addition and condensation), copolymerization. Some important polymers: are natural and synthetic like polythene, nylon polyesters, bakelite, and rubber. Biodegradable and non-biodegradable polymers.

**CUET Chemistry unit-16 Chemistry in Everyday Life**

1. Chemicals in medicines – analgesics, tranquillizers, antiseptics, disinfectants, antimicrobials, antifertility drugs, antibiotics, antacids, and antihistamines.

2. Chemicals In food– preservatives, artificial sweetening agents, elementary ideas of antioxidants.

3. Cleansing agents – soaps and detergents, cleansing action.

### CUET Biology Syllabus

**1. Reproduction**

Reproduction in organisms

Sexual reproduction in flowering plants

Human reproduction

Reproductive health

**2.Genetics & Evolution**

Heredity and variation

Molecular basis of inheritance

Evolution

**3. Biology and Human welfare**

Health and disease

Improvement in food production

Microbes in human welfare

** 4 Biotechnology and its Applications**

Principles and processes of biotechnology

Application of biotechnology in health and agriculture

**5. Ecology and Environment**

Organisms and environment

Ecosystems

Biodiversity and its conservation

Environmental issues

### Chapter Wise Solutions - Download Free PDF

## Frequently Asked Questions on CUET Science

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