For ResoFAST-2018

83 Pages·2017·6.61 MB·English

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Sample Test Papers
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STP1819
Index
Sample Test Paper (STP) For ResoFAST-2018
Page
S.No. Contents Target
No.
1 How to Prepare for the Resonance's Forward Admission & Scholarship Test (ResoFAST) - 2018 ResoFAST 2018 2
2 General Instructions for the Examination Hall ResoFAST 2018 3
3 Syllabus for ResoFAST-2018 ResoFAST 2018 4
Sample Test Paper- I : For Class-X Appearing students (Moving from Class-X to
4 JEE(Main) 2020 9
Class-XI ) For the students applying for ABHINAV (EA*) Courses
Sample Test Paper-I Answer key & Hints & Solution : For Class-X Appearing students (Moving from
5 JEE(Main) 2020 21
Class-X to Class-XI ) For the students applying for ABHINAV (EA*) Courses
Sample Test Paper-II : For Class-XI Appearing students (Moving from Class-XI to Class-XII).For the
6 JEE(Main) 2019 28
students applying for AKHIL (EF) Course
Sample Test Paper-II Answer key & Hints & Solution : For Class-XI Appearing students (Moving from
7 JEE(Main) 2019 46
Class-XI to Class-XII).For the students applying for AKHIL (EF) Course
Sample Test Paper-III : For Class-XII Appearing students (Moving from Class-XII to Class-XIII) For the
8 JEE(Main) 2019 59
students applying for ABHYAAS (ED*) Courses
Sample Test Paper-III Answer key & Hints & Solution : For Class-XII Appearing students (Moving
9 JEE(Main) 2019 74
from Class-XII to Class-XIII) For the students applying for ABHYAAS (ED*) Courses
10 Sample ORS Answer Sheet for Resonance's Forward Admission & Scholarship Test (ResoFAST) - 2018 ResoFAST 2018 81
The sample test papers are only for reference and guidance. The sample papers given in the booklet are actually the papers of previous
year's ResoFAST conducted by Resonance for its various courses.
Note : Resonance reserves the right to change the pattern of selection test (ResoFAST). Pervious year papers do not guarantee that the
papers for this year selection test will be on the same pattern. However, the syllabus of the test paper will be equivalent to the syllabus
of qualifying school/board examination and as given on page no. 4.
 Copyright reserved 2018-19.
All rights reserved. Any photocopying, publishing or reproduction of full or any part of this material is strictly prohibited. This material belongs to only the applicants
of RESONANCE for its various Selection Tests (ResoFAST) to be conducted for admission in Academic Session 2018-19. Any sale/resale of this material is
punishable under law. Subject to Kota Jurisdiction only.
Page - 1
STP1819
How to Prepare for the Resonance’s Forward Admission & Scholarship Test (ResoFAST) - 2018
 For Class-X appearing students (Class-X to Class-XI Moving) :
Study thoroughly the books of Science (Physics & Chemistry) and Maths of Classes
IX & X. (NCERT & Respective Board)
 For Class-XI appearing students (Class-XI to Class-XII Moving):
1. Study thoroughly the books of Physics, Chemistry and Maths of Class XI (Respective
Board).
2. Refer to the following books (only Class-XI syllabus) to increase the level of competence:
 For Physics : Concepts of Physics by H.C. Verma Vol. I & II, NCERT Books
 For Chemistry : NCERT Books(XI & XII), A text book of Physical Chemistry
(8th Edition), Shishir Mittal, Disha Publications, Concise Inorganic
Chemistry, J.D. Lee, Wiley-India Edition, Vogel’s Qualitative Analysis for
the JEE (7th Edition), G. Svehla & Shishir Mittal, Pearson Education,Organic
Chemistry : Clayden, Greeves, Warren and Wothers, Oxford University,
A guide book to Mechanism In Organic Chemistry (6th Edition), Peter Sykes,
Pearson Education
 For Maths : Higher Algebra By Hall & Knight; Co-ordinate Geometry By
S.L. Loney ; Plane Trigonometry By S.L. Loney, Problem book in high school
by A.I.Prilepko
 For Class-XII appearing students (Class-XII to Class-XIII Moving):
1. Study thoroughly the books of Physics, Chemistry and Maths of Classes XI & XII
(Respective Board).
2. Refer to the following books (Class-XI & Class-XII syllabus) to increase the level of
competence :
 For Physics : Concepts of Physics by H.C. Verma Vol-I & II
 For Chemistry : Physical Chemistry By R.K. Gupta, Organic Chemistry By
Morrison & Boyd, Organic Chemistry By I. L. Finar, Inorganic Chemistry By J.D.
Lee, Objective Chemistry By Dr. P. Bahadur
 For Maths : Higher Algebra By Hall & Knight; Co-ordinate Geometry By S.L.
Loney; Plane Trigonometry By S.L. Loney, Differential Calculus By G.N. Berman
Page - 2
STP1819
GENERAL INSTRUCTIONS IN THE EXAMINATION HALL
(ijh{kk Hkou ds fy, lkekU; funsZ'k)
1. This booklet is your Question Paper. ¼;g iqfLrdk vkidk iz'u&i=k gS½
2. The Question Paper Code is printed on the top right corner of this sheet. ¼iz'u&i=k dksM bl i`"B
ds Åij nk;sa dksus esa Nik gqvk gS½
3. Blank papers, clip boards, log tables, slide rule, calculators, mobile or any other electronic
gadgets in any form are not allowed to be used. ¼[kkyh dkxt] fDyi cksMZ] y?kqx.kd lkj.kh] LykbM
:y] dSYdqysVj] eksckby ;k vU; fdlh bySDVªWkfud midj.k ds fdlh Hkh :i esa mi;ksx dh vkKk ugha gS½
4. Write your Name & Application Form Number in the space provided in the bottom of this
booklet. (bl i`"B ds uhps fn;s x;s fjDr LFkku esa viuk uke o vkosnu QkWeZ la[;k vo'; Hkjsa½
5. Before answering the paper, fill up the required details in the blank space provided in the Objective

Response Sheet (ORS). (iz'u&i=k gy djus ls igys] ORS&'khV esa fn;s x;s fjDr LFkkuksa esa iwNs x;s
fooj.kksa dks Hkjsa½
6. Do not forget to mention your paper code and Application Form Number neatly and clearly in
the blank space provided in the Objective Response Sheet (ORS) / Answer Sheet. ¼mÙkj&iqfLrdk
esa fn;s x;s fjDr LFkku esa vius iz'u&i=k dk dksM o viuk vkosnu QkWeZ la[;k Li"V :i ls Hkjuk uk Hkwysa½
7. No rough sheets will be provided by the invigilators. All the rough work is to be done in the blank
space provided in the question paper. ¼fujh{kd ds }kjk dksbZ jQ 'khV ugha nh tk;sxhA jQ dk;Z iz'u&i=k
esa fn;s x;s [kkyh LFkku esa gh djuk gS½
8. No query related to question paper of any type is to be put to the invigilator.
¼fujh{kd ls iz'u&i=k ls lEcfU/kr fdlh izdkj dk dksbZ iz'u uk djsas½

Question Paper
¼i z’ u&i =k½
9. Marks distribution of questions is as follows. ¼iz'uksa ds izkIrkadks dk fooj.k fuEu izdkj ls gSA½
Part - A Part - B Part - C Marks to be awarded
Phase Type
(Mathematics) (Physics) (Chemistry) Correct Wrong Blank
Only one correct
EA* 1 to 30 31 to 50 51 to 70 4 -1 0
(dsoy ,d fodYi l gh)
Only one correct
EF & ED* 1 to 30 31 to 60 61 to 90 4 -1 0
(dsoy ,d fodYi l gh)
Name : _________________________________ Application Form Number : _______________
Page - 3
STP1819
Syllabus of ResoFAST-2018
CLASS - X (CHEMISTRY) Geometry :
Basic : Cooling by evaporation. Absorption of heat. All things accupy Lines :
space, possess mass. Definition of matter ; Elementary idea about Properties of parallel and perpendicular lines.
bonding. Triangle :
Area of a triangle, Properties of triangle, similarity and congruency of
Solid, liquid and gas : characteristics-shape, volume, density; change
triangles.
of state - melting, freezing, evaporation, condensation, sublimation.
Medians, Altitudes, Angle bisectors and related centres.
Elements, compounds and mixtures :Heterogeneous and Geometrical representation of quadratic polynomials.
homogeneous mixtures; Colloids and suspension. Circle :
Properties of circle, Tangent, Normal and chords.
Mole concept : Equivalence - that x grams of A is chemically not equal
to x grams of B ; Partical nature, basic units : atoms and molecules ; Mensuration :
Law of constant proportions ; Atomic and molecular Area of triangle using Heron’s formula and its application in finding the
masses;Relationship of mole to mass of the particles and numbers ; area of a quadrilateral.
Valency ; Chemical formulae of common compounds. Area of circle ; Surface areas and volumes of cubes, cuboids,
spheres (including hemispheres) and right circular cylinders/cones
Atomic structure : Atoms are made up of smaller particles : electrons,
and their combinations.
protons, and neutrons. These smaller particles are present in all the
atoms but their numbers vary in different atoms. Statistics :
Isotopes and isobars. Mean, median, mode of ungrouped and grouped data.
Gradations in properties : Mendeleev periodic table. Probability :
Classical definition of probability, problems on single events.
Acids, bases and salts : General properties, examples and uses.
Types of chemical reactions : Combination, decomposition, Logarithm & exponents :
displacement, double displacement, precipitation, neutralisation, Logarithms and exponents and their properties.
oxidation and reduction in terms of gain and loss of oxygen and
Interest :
hydrogen.
Problem based on simple interest, compound interest and discounts.
Extractive metallurgy : Properties of common metals ; Brief discussion
Mental Ability :
of basic metallurgical processes.
Problem based on data interpretation, family relations, Logical reasoning.
Compounds of Carbon : Carbon compounds ; Elementary idea about
Direct & Indirect variations :
bonding ; Saturated hydrocarbons, alcohols, carboxylic acids (no
Ratios & proportions, Unitary method, Work and time problems.
preparation, only properties).Soap - cleansing action of soap.
CLASS - X (PHYSICS)
CLASS - X (MATHEMATICS)
Mechanics : Uniform and non-uniform motion along a straight line ;
Number Systems :
Concept of distance and displacement, Speed and velocity, accelaration
Natural Numbers, Integers, Rational number on the number line. Even - and relation ship between these ; Distance-time and velcocity - time
odd integers, prime number, composite numbers, twin primes, divisibility graphs.
tests, Co-prime numbers, LCM and HCF of numbers. Newton’s Law of motion ; Relationship between mass, momentum,
Representation of terminating/non-terminating recurring decimals, on force and accelaration ; work done by a force ; Law of conservation
the number line through successive magnification. Rational numbers of energy.
as recurring/terminating decimals. Ratio and proportions. Law of gravitation ; acceleration due to gravity.
Electricity and magnetism : Ohm’s law ; Series and parallel
Polynomials :
combination of resistances ; Heating effect of current.
Polynomial in one variable and its Degree. Constant, Linear, quadratic,
cubic polynomials; monomials, binomials, trinomials, Factors and Magnetic field near a current carrying straight wire, along the axis of
multiplex. Zeros/roots of a polynomial/equation. a circular coil and inside a solenoid ; Force on current carrying conductor
Remainder theorem, Factor Theorem. Factorisation of quadratic and ; Fleming’s left hand rule ; Working of electric motor ; Induced potential
cubic polynomials difference and current
Standard form of a quadratic equation ax2 + bx + c = 0, (a  0). Relation
between roots and coefficient of quadratic and relation between Electric generator : Principle and working ; Comparision of AC and
discriminant and nature of roots. DC ; Domestic electric circuits.
Linear Equation :
Optics : Rectilinear propagation of light ; Basic idea of concave mirror
Linear equation in one variable and two variable and their graphs.
and convex lens ; Laws of refraction ; Dispersion.
Pair of linear equations in two variables and their solution and
inconsistency
CLASS - XI (CHEMISTRY)
Arithmetic Progressions (AP) :
Finding the nth term and sum of first n terms.
Some Basic Concepts of Chemistry : Particulate nature of matter,
Trigonometry : laws of chemical combination, Dalton’s atomic theory : concept of
Trigonometric ratios of an acute angle of a right-angled triangle, elements, atoms and molecules.
Relationships between the ratios. Atomic and molecular masses. Mole concept and molar mass ;
Trigonometric ratios of complementary angles and trigonometric percentage composition and empirical and molecular formula ; chemical
identities. Problems based on heights and distances. reactions, stoichiometry and calculations based on stoichiometry.
Structure of Atom : Discovery of electron, proton and neutron ;
Coordinate Geometry : atomic number, isotopes and isobars.
Thompson’s model and its limitations, Rutherford’s model and its
The cartesian plane, coordinates of a point, plotting points in the plane,
limitations, concept of shells and sub-shells, dual nature of matter and
distance between two points and section formula (internal). Area of
light, de Broglie’s relationship, Heisenberg uncertainty principle, concept
triangle. Properties of triangle and quadrilateral. (Square, Rectangle
of orbitals, quantum numbers, shapes of s, p, and d orbitals, rules for
rhombus, parallelogram).
Page - 4
STP1819
filling electrons in orbitals - Aufbau principle, Pauli exclusion principle allotropic forms, physical and chemical propeties ; uses of some
and Hund’s rule, electronic configuration of atoms, stability of half filled important compounds : oxides.
and completely filleld orbitals. Important compounds of silicon and a few uses : silicon tetrachloride,
silicones, silicates and zeolites.
Classification of Elements and Periodicity in Properties :
Significance of classification, brief history of the development of periodic Principles of qualitative analysis : Determinantion of one anion and
table, trends in properties of elements - atomic radii, ionic radii, inert one cation in a given salt
gas radii, ionization enthalpy, electron gain enthalpy, electronegativity, Cations - Pb2 + , Cu2+, As3+, Al3+, Fe3+, Mn2+, Ni2 +, Zn2+, Co2+, Ca2+, Sr2+,
valence. Ba2+, Mg2+, NH
4
Chemical Bonding and Molecular Structure : Anions - CO2–,S2–,SO2–,SO2–,NO–,
3 3 4 2
Valence electrons, ionic bond, covalent bond, bond parameters, Lewis
structure, polar character of covalent bond, covalent character of NO3–,NO3–,Cl–,Br–,–,PO34–,C2O24–CH3COO–
ionic bond, valence bond theory, resonance, geometry of covalent (Note : Insoluble salts excluded)
molecules, VSEPR theory, concept of hybridization involving s, p and d
orbitals and shapes of some simple molecules, Organic chemistry - Some Basic Principles and Techniques
molecular orbital theory of homonuclear diatomic molecules (qualitative General introduction, methods of purification, qualitative and
idea only), hydrogen bond. quantitative analysis, classification and IUPAC nomenclature of
organic compounds.
States of Matter : Gases and Liquids : Electronic displacements in a covalent bond : free radicals, carbocations,
Three states of matter, intermolecular interactions, type of bonding, carbanions ; electrophiles and nucleophiles, types of organic reactions
melting and boiling points, role of gas laws in elucidating the concept of
the molecule, Boyle’s law, Charles’ law, Gay Lussac’s law, Avogadro’s Classification of Hydrocarbons : Alkanes : Nomenclature,
law, ideal behavior, empirical derivation of gas equation, Avogadro’s isomerism, conformations (ethane only), physical propeties,
number ideal gas equation, deviation from ideal behaviour, Liquefaction chemical reactions including free radical mechanism of
of gases, critical temperature. halogenation, combustion and pyrolysis.
Liquid State - Vapour pressure, viscosity and surface tension
Alkenes : Nomenclatures, structure of double bond (ethene),
(qualitative idea only, no mathematical derivations)
geometrical isomerism, physical properties, methods of preparation ;
Thermodynamics :
chemical reactions : addition of hydrogen, halogen, water, hydrogen
Concepts of system, types of systems, surroundings, work, heat,
halides (Markovnikov’s addition and peroxide effect),
energy, extensive and intensive properties, state functions.
ozonolysis, oxidation, mechanism of electrophilic addition.
First law of thermodynamics - internal energy and enthalpy, heat
Alkynes : Nomenclature, structure of triple bond (ethyne), physical
capacity and specific heat, measurement of U and H, Hess’s law of
properties, methods of preparation, chemical reactions : acidic
constant heat summation, enthalpy of bond dissociation,
character of alkynes, addition reaction of - hydrogen, halogens,
combustion, formation, atomization sublimation, phase transition,
hydrogen halides and water.
ionization, and dilution.
Introduction of entropy as a state function, free energy change for
Aromatic hydrocarbons : Introduction, IUPAC nomenclature ;
spontaneous and non-spontaneous process, equilibrium.
Benzene : resonance, aromaticity ; chemical properties : mechanism
of electrophilic substitution - nitration sulphonation, halogenation, Friedel
Equilibrium : Equilibrium in physical and chemical processes,
Craft’s alkylation and acylation ; directive influence of functional group
dynamic nature of equilibrium, law of mass action, equilibrium
in mono-substituted benzene ; carcinogenicity and toxicity.
constant, factors affecting equilibrium - Le Chatelier’s principle ; ionic
equilibrium - ionization of acids and bases, strong and weak electrolytes,
CLASS - XI (MATHEMATICS)
degree of ionization concept of pH. Hydrolysis of Salts (elementary
idea), buffer solutions, solubility product, common ion effect (with Functions :
illustrative examples). Sets and their representations. Empty, finite and infinite sets, Subsets,
Union and intersection of sets, Venn diagrams.
Redox Reactions : Concept of oxidation and reduction, redox reactions, Pictorial representation of a function domain, co-domain and range of
oxidation number, balancing redox reactions, applications of redox a function domain and range of constant, identity, polynomial, rational,
reaction. modulus, signum and greatest integer functions with their graphs.
Sum, difference, product and quotients of functions.
Hydrogen : Position of hydrogen in periodic table, occurrence, isotopes, Trigonometric Functions :
preparation, properties and uses of hydrogen ; hydrides - ionic, covalent Measuring angles in radians and in degrees and conversion from one
and interstitial ; physical and chemical properties of water, heavy measure to another. Signs of trigonometric functions and sketch of
water ; hydrogen peroxide - preparation, reactions and structure ; their graphs. Addition and subtraction formulae, formulae involving
hydrogen as a fuel. multiple and sub-multiple angles. General solution of trigonometric
equations.
s-Block Elements (Alkali and Alkaline Earth Metals) :
Group 1 and Group 2 elements : Complex Number
General introduction, electronic configuration, occurrence, anomalous Algebra of complex numbers, addition, multiplication, conjugation, polar
properties of the first element of each group, diagonal relationship, representation, properties of modulus and principal argument, triangle
trends in the variation of properties (such as ionization enthalpy, atomic inequality, cube roots of unity, geometric interpretations.
and ionic radii), trends in chemical reactivity with oxygen, water,
hydrogen and halogens ; uses. Quadratic equations :
Quadratic equations with real coefficients, formation of quadratic
Preparation and properties of some important compounds equations with given roots, symmetric functions of roots.
Sodium carbonate, sodium chloride, sodium hydroxide and sodium
hydrogen carbonate Sequence & Series :
CaO, CaCO, and industrial use of lime and limestone, Ca. Arithmetic, geometric and harmonic progressions, arithmetic, geometric
3
and harmonic means, sums of finite arithmetic and geometric
General Introduction to p-Block Elements : progressions, infinite geometric series, sums of squares and cubes of
Group 13 elements : General introduction, electronic configuration, the first n natural numbers.
occurrence, variation of properties, oxidation states, trends in chemical
reactivity, anomalous properties of first element of the group ; Logarithm & exponents :
Boron - physical and chemical properties, some important compounds Logarithms and exponents and their properties. Exponential and
; borax, boric acids, boron hydrides. Aluminium : uses, reactions with logarithmic series.
acids and alkalies.
Group 14 elements ; General introduction, electronic configuration, Binomial Theorem :
occurrence, variation of properties, oxidation states, trends in chemical Binomial theorem for a positive integral index, properties of binomial
reactivity, anomalous behaviour of first element. Carbon - catenation, coefficients. Binomial theorem for any index.
Page - 5
STP1819
Permutations and combinations : CLASS - XII (CHEMISTRY)
Problem based on fundamental counting principle, Arrangement of alike
and different objects, Circular permutation, Combination, formation of Physical Chemistry
groups. General topics : Concept of atoms and molecules; Dalton’s atomic
theory; Mole concept; Chemical formulae; Balanced chemical equations;
Straight Line : Calculations (based on mole concept) involving common oxidation-
Cartesian coordinates, distance between two points, section formulae, reduction, neutralisation, and displacement reactions; Concentration in
shift of origin. Equation of a straight line in various forms, angle between terms of mole fraction, molarity, molality and normality.
two lines, distance of a point from a line; Lines through the point of
Gaseous and liquid states : Absolute scale of temperature, ideal
intersection of two given lines equation of the bisector of the angle
gas equation; Deviation from ideality, van der Waals equation; Kinetic
between two lines, concurrency of lines; Centroid, orthocentre, incentre
theory of gases, average, root mean square and most probable
and circumcentre of a triangle.
velocities and their relation with temperature; Law of partial pressures;
Vapour pressure; Diffusion of gases.
Conic Sections :
Atomic structure and chemical bonding : Bohr model, spectrum
Equation of a circle in various forms, equations of tangent, normal and
of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie
chord. Parametric equations of a circle, intersection of a circle with a
hypothesis; Uncertainty principle; Qualitative quantum mechanical
straight line or a circle, equation of a through the points of intersection
picture of hydrogen atom, shapes of s, p and d orbitals; Electronic
of two circles and those of a circle and a straight line.
configurations of elements (up to atomic number 36); Aufbau principle;
Equations of a parabola, ellipse and hyperbola in standard form, their
Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent
foci, directrices and eccentricity, parametric equations, equations of
bond; Hybridisation involving s, p and d orbitals only; Orbital energy
tangent and normal locus problems.
diagrams for homonuclear diatomic species; Hydrogen bond; Polarity
Mental Ability :
in molecules, dipole moment (qualitative aspects only); VSEPR model
Problem based on data interpretation, family relations & Logical
and shapes of molecules (linear, angular, triangular, square planar,
reasoning.
pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and
octahedral).
CLASS - XI (PHYSICS)
Energetics : First law of thermodynamics; Internal energy, work and
General : Units and dimensions, dimensional analysis; least count, heat, pressure-volume work; Enthalpy, Hess’s law; Heat of reaction,
significant figures; Methods of measurement and error analysis for fusion and vapourization; Second law of thermodynamics; Entropy;
physical quantities pertaining to the following experiments: Experiments Free energy; Criterion of spontaneity.
based on using Vernier calipers and screw gauge (micrometer),
Determination of g using simple pendulum, Young’s modulus by Searle’s Chemical equilibrium : Law of mass action; Equilibrium constant,
method. Le Chatelier’s principle
(effect of concentration, temperature and pressure); Significance of
Mechanics : Kinematics in one and two dimensions (Cartesian G and Go in chemical equilibrium; Solubility product, common ion
coordinates only), projectiles; Uniform Circular motion; Relative effect, pH and buffer solutions; Acids and bases (Bronsted and Lewis
velocity. concepts); Hydrolysis of salts.
Newton’s laws of motion; Inertial and uniformly accelerated frames of Electrochemistry : Electrochemical cells and cell reactions; Standard
reference; Static and dynamic friction; Kinetic and potential energy; electrode potentials; Nernst equation and its relation to DG;
Work and power; Conservation of linear momentum and mechanical Electrochemical series, emf of galvanic cells; Faraday’s laws of
energy. electrolysis; Electrolytic conductance, specific, equivalent and molar
conductivity, Kohlrausch’s law; Concentration cells.
Systems of particles; Centre of mass and its motion; Impulse; Elastic
and inelastic collisions. Chemical kinetics : Rates of chemical reactions; Order of reactions;
Rate constant; First order reactions; Temperature dependence of rate
Law of gravitation; Gravitational potential and field; Acceleration due to constant (Arrhenius equation).
gravity; Motion of planets and satellites in circular orbits; Escape velocity.
Solid state : Classification of solids, crystalline state, seven crystal
Rigid body, moment of inertia, parallel and perpendicular axes systems (cell parameters a, b, c, ), close packed structure of solids
theorems, moment of inertia of uniform bodies with simple (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic
geometrical shapes; Angular momentum; Torque; Conservation of radii, simple ionic compounds, point defects.
angular momentum; Dynamics of rigid bodies with fixed axis of
rotation; Rolling without slipping of rings, cylinders and spheres; Solutions : Raoult’s law; Molecular weight determination from lowering
Equilibrium of rigid bodies; Collision of point masses with rigid bodies. of vapour pressure, elevation of boiling point and depression of freezing
point.
Linear and angular simple harmonic motions.
Surface chemistry : Elementary concepts of adsorption (excluding
Hooke’s law, Young’s modulus. adsorption isotherms); Colloids: types, methods of preparation and
general properties; Elementary ideas of emulsions, surfactants and
Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and micelles (only definitions and examples).
surface tension, capillary rise; Viscosity (Poiseuille’s equation
excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of Nuclear chemistry : Radioactivity: isotopes and isobars; Properties
continuity, Bernoulli’s theorem and its applications. of rays; Kinetics of radioactive decay (decay series excluded), carbon
dating; Stability of nuclei with respect to proton-neutron ratio; Brief
Waves : Wave motion (plane waves only), longitudinal and discussion on fission and fusion reactions.
transverse waves, superposition of waves; Progressive and stationary
waves; Vibration of strings and air columns;Resonance; Beats; Speed Inorganic Chemistry
of sound in gases; Doppler effect (in sound).
Isolation/preparation and properties of the following non-
Thermal physics : Thermal expansion of solids, liquids and gases; metals : Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and
Calorimetry, latent heat; Heat conduction in one dimension; Elementary halogens; Properties of allotropes of carbon
concepts of convection and radiation; Newton’s law of cooling; Ideal (only diamond and graphite), phosphorus and sulphur.
gas laws; Specific heats (Cv and Cp for monoatomic and diatomic
gases); Isothermal and adiabatic processes, bulk modulus of gases; Preparation and properties of the following compounds :
Equivalence of heat and work; First law of thermodynamics and its Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides
applications (only for ideal gases); Blackbody radiation: absorptive and sulphates of sodium, potassium, magnesium and calcium; Boron:
and emissive powers; Kirchhoff’s law; Wien’s displacement law, diborane, boric acid and borax; Aluminium: alumina, aluminium chloride
Stefan’s law. and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon:
silicones, silicates and silicon carbide; Nitrogen: oxides, oxyacids and
Page - 6
STP1819
ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric amines, preparation from nitro compounds, reaction with nitrous acid,
acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer
hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium and related reactions of diazonium salts; carbylamine reaction;
thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of Haloarenes: nucleophilic aromatic substitution in haloarenes and
chlorine, bleaching powder; Xenon fluorides. substituted haloarenes (excluding Benzyne mechanism and Cine
substitution).
Transition elements (3d series) : Definition, general characteristics,
oxidation states and their stabilities, colour (excluding the details of Carbohydrates: Classification; mono- and di-saccharides (glucose
electronic transitions) and calculation of spin (only magnetic moment), and sucrose); Oxidation, reduction, glycoside formation and hydrolysis
Coordination compounds: nomenclature of mononuclear coordination of sucrose.
compounds, cis-trans and ionisation isomerisms, hybridization and
geometries of mononuclear coordination compounds (linear, tetrahedral, Amino acids and peptides : General structure (only primary structure
square planar and octahedral). for peptides) and physical properties.
Preparation and properties of the following compounds : Properties and uses of some important polymers : Natural
Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates rubber, cellulose, nylon, teflon and PVC.
of Fe2+, Cu2+ and Zn2+; Potassium permanganate, potassium dichromate,
silver oxide, silver nitrate, silver thiosulphate. Practical organic chemistry : Detection of elements (N, S, halogens);
Detection and identification of the following functional groups: hydroxyl
Ores and minerals : Commonly occurring ores and minerals of iron, (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl,
copper, tin, lead, magnesium, aluminium, zinc and silver. amino and nitro; Chemical methods of separation of mono-functional
organic compounds from binary mixtures.
Extractive metallurgy : Chemical principles and reactions only
(industrial details excluded); Carbon reduction method (iron and tin); CLASS - XII (MATHEMATICS)
Self reduction method (copper and lead); Electrolytic reduction method
(magnesium and aluminium); Cyanide process (silver and gold). Complex Number and Quadratic equations :
Principles of qualitative analysis : Groups I to V (only Ag+, Hg2+, Algebra of complex numbers, addition, multiplication, conjugation, polar
Cu2+, Pb2+, Bi3+, Fe3+, Cr3+, Al3+, Ca2+, Ba2+, Zn2+, Mn2+ and Mg2+); Nitrate, representation, properties of modulus and principal argument, triangle
halides (excluding fluoride), sulphate and sulphide. inequality, cube roots of unity, geometric interpretations.
Quadratic equations with real coefficients, formation of quadratic
Organic Chemistry equations with given roots, symmetric functions of roots.
Sequence & Series :
Concepts : Hybridisation of carbon; Sigma and pi-bonds; Shapes of Arithmetic, geometric and harmonic progressions, arithmetic, geometric
simple organic molecules; Structural and geometrical isomerism; Optical and harmonic means, sums of finite arithmetic and geometric
isomerism of compounds containing up to two asymmetric centres, progressions, infinite geometric series, sums of squares and cubes of
(R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple the first n natural numbers.
organic compounds (only hydrocarbons, mono-functional and bi-
functional compounds); Conformations of ethane and butane (Newman Logarithms and their properties. Permutations and combinations,
projections); Resonance and hyperconjugation; Keto-enol tautomerism; Binomial theorem for a positive integral index, properties of binomial
Determination of empirical and molecular formulae of simple compounds coefficients.
(only combustion method); Hydrogen bonds: definition and their effects Binomial theorem for any index, exponential and logarithmic series.
on physical properties of alcohols and carboxylic acids; Inductive and
resonance effects on acidity and basicity of organic acids and bases; Matrices & Determinants :
Polarity and inductive effects in alkyl halides; Reactive intermediates Matrices as a rectangular array of real numbers, equality of matrices,
produced during homolytic and heterolytic bond cleavage; Formation, addition, multiplication by a scalar and product of matrices, transpose
structure and stability of carbocations, carbanions and free radicals. of a matrix, determinant of a square matrix of order up to three, inverse
Preparation, properties and reactions of alkanes : Homologous of a square matrix of order up to three, properties of these matrix
series, physical properties of alkanes (melting points, boiling points operations, diagonal, symmetric and skew- symmetric matrices and
and density); Combustion and halogenation of alkanes; Preparation of their properties, solutions of simultaneous linear equation in two or
alkanes by Wurtz reaction and decarboxylation reactions. three variables.
Preparation, properties and reactions of alkenes and alkynes Probability :
: Physical properties of alkenes and alkynes (boiling points, density Addition and multiplication rules of probability, conditional probability,
and dipole moments); Acidity of alkynes; Acid catalysed hydration of baye’s theorem, independence of events, computation of probability of
alkenes and alkynes (excluding the stereochemistry of addition and events using permutations and combinations.
elimination); Reactions of alkenes with KMnO and ozone; Reduction of
4
alkenes and alkynes; Preparation of alkenes and alkynes by elimination Straight Line :
reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX Cartesian coordinates, distance between two points, section formulae,
and H2O (X=halogen); Addition reactions of alkynes; Metal acetylides. shift of origin. Equation of a straight line in various forms, angle between
Reactions of Benzene : Structure and aromaticity; Electrophilic two lines, distance of a point from a line; Lines through the point of
substitution reactions: halogenation, nitration, sulphonation, Friedel- intersection of two given lines equation of the bisector of the angle
Crafts alkylation and acylation; Effect of ortho, meta and para directing between two lines, concurrency of lines; Centroid, orthocentre, incentre
groups in monosubstituted benzenes. and circumcentre of a triangle.
Phenols : Acidity, electrophilic substitution reactions (halogenation, Conic Section :
nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction. Equation of a circle in various forms, equations of tangent, normal and
chord. Parametric equations of a circle, intersection of a circle with a
Characteristic reactions of the following (including those straight line or a circle, equation of a through the points of intersection
mentioned above): of two circles and those of a circle and a straight line.
Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard Equations of a parabola, ellipse and hyperbola in standard form, their
reactions, nucleophilic substitution reactions; Alcohols: esterification, foci, directrices and eccentricity, parametric equations, equations of
dehydration and oxidation, reaction with sodium, phosphorus halides, tangent and normal locus problems.
ZnCl2/concentrated HCl, conversion of alcohols into aldehydes and
ketones; Ethers:Preparation by Williamson’s Synthesis; Aldehydes Three dimensions :
and Ketones: oxidation, reduction, oxime and hydrazone formation; Direction cosines and direction ratios, equation of a straight line in
aldol condensation, Perkin reaction; Cannizzaro reaction; haloform space, equation of a plane, distance of a point from a plane
reaction and nucleophilic addition reactions (Grignard addition);
Carboxylic acids: formation of esters, acid chlorides and amides,
ester hydrolysis; Amines: basicity of substituted anilines and aliphatic
Page - 7
STP1819
Vectors : bodies; Collision of point masses with rigid bodies.
Addition of vectors, scalar multiplication, dot and cross products, scalar
triple products and their geometrical interpretations. Position vector of Linear and angular simple harmonic motions.
a point dividing a line segment in a given ratio. Projection of a vector on Hooke’s law, Young’s modulus.
a line.
Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and
Function : surface tension, capillary rise; Viscosity (Poiseuille’s equation
Real valued functions of a real variable, into, onto and one-to-one excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of
functions, sum, difference, product and quotient of two functions, continuity, Bernoulli’s theorem and its applications.
composite functions, absolute value, polynomial, rational, trigonometric, Waves : Wave motion (plane waves only), longitudinal and transverse
exponential and logarithmic functions. Even and odd functions, inverse waves, superposition of waves; Progressive and stationary waves;
of a function, composite function. Vibration of strings and air columns;Resonance; Beats; Speed of sound
Limit, Continuity & Derivability : in gases; Doppler effect (in sound).
Limit and continuity of a function, limit and continuity of the sum, Thermal physics : Thermal expansion of solids, liquids and gases;
difference, product and quotient of two functions, L’Hospital rule of Calorimetry, latent heat; Heat conduction in one dimension; Elementary
evaluation of limits of functions even and odd functions, inverse of a concepts of convection and radiation; Newton’s law of cooling; Ideal
function, continuity of composite function. intermediate value property gas laws; Specific heats (Cv and Cp for monoatomic and diatomic
of continuous functions. gases); Isothermal and adiabatic processes, bulk modulus of gases;
Differentiation : Equivalence of heat and work; First law of thermodynamics and its
Derivative of a function, derivative of the sum, difference, product and applications (only for ideal gases); Blackbody radiation: absorptive
quotient of two functions, chain rule, derivatives of polynomial, rational, and emissive powers; Kirchhoff’s law; Wien’s displacement law,
trigonometric, inverse trigonometric, exponential and logarithmic Stefan’s law.
functions. Derivatives of implicit functions, derivatives up to order two. Electricity and magnetism : Coulomb’s law; Electric field and potential;
Tangent & Normal : Electrical potential energy of a system of point charges and of electrical
Geometrical interpretation of the derivative, tangents and normal. dipoles in a uniform electrostatic field; Electric field lines; Flux of electric
field; Gauss’s law and its application in simple cases, such as, to find
Maxima & Minima : field due to infinitely long straight wire, uniformly charged infinite plane
Increasing and decreasing functions, maximum and minimum values of sheet and uniformly charged thin spherical shell.
a function, rolle’s theorem and Lagrange’s Mean value theorem.
Capacitance; Parallel plate capacitor with and without dielectrics;
Integral calculus : Capacitors in series and parallel; Energy stored in a capacitor.
Integration as the inverse process of differentiation, indefinite integrals
of standard functions, integration by parts, integration by the methods Electric current; Ohm’s law; Series and parallel arrangements of
of substitution and partial fractions. resistances and cells; Kirchhoff’s laws and simple applications; Heating
Definite integrals and their properties, fundamental theorem of integral effect of current.
calculus. Application of definite integrals to the determination of areas Biot–Savart’s law and Ampere’s law; Magnetic field near a current-
involving simple curves. carrying straight wire, along the axis of a circular coil and inside a long
Formation of ordinary differential equations, solution of homogeneous straight solenoid; Force on a moving charge and on a current-carrying
differential equations, separation of variables method, linear first order wire in a uniform magnetic field.
differential equations. Magnetic moment of a current loop; Effect of a uniform magnetic field
Trigonometry : on a current loop; Moving coil galvano- meter, voltmeter, ammeter and
Trigonometric functions, their periodicity and graphs addition and their conversions.
subtraction formulae, formulae involving multiple and sub-multiple angles, Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual
general solution of trigonometric equations. inductance; RC, LR and LC circuits with d.c. and a.c. sources.
Relations between sides and angles of a triangle, sine rule, cosine
rule, half-angle formula and the area of a triangle, inverse trigonometric Optics: Rectilinear propagation of light; Reflection and refraction at
functions (principal value only). plane and spherical surfaces; Total internal reflection; Deviation and
dispersion of light by a prism; Thin lenses; Combinations of mirrors and
CLASS - XII (PHYSICS) thin lenses; Magnification.
General : Units and dimensions, dimensional analysis; least count, Wave nature of light: Huygen’s principle, interference limited to Young’s
significant figures; Methods of measurement and error analysis for double-slit experiment.
physical quantities pertaining to the following experiments: Experiments
based on using Vernier calipers and screw gauge (micrometer), Modern physics : Atomic nucleus; Alpha, beta and gamma radiations;
Determination of g using simple pendulum, Young’s modulus by Searle’s Law of radioactive decay; Decay constant; Half-life and mean life;
method, Specific heat of a liquid using calorimeter, focal length of a Binding energy and its calculation; Fission and fusion processes; Energy
concave mirror and a convex lens using u-v method, Speed of sound calculation in these processes.
using resonance column, Verification of Ohm’s law using voltmeter
and ammeter, and specific resistance of the material of a wire using Photoelectric effect; Bohr’s theory of hydrogen-like atoms;
meter bridge and post office box. Characteristic and continuous X-rays, Moseley’s law; de Broglie
wavelength of matter waves.
Mechanics : Kinematics in one and two dimensions (Cartesian
coordinates only), Projectile Motion; Uniform Circular Motion; Relative
Velocity.
Newton’s laws of motion; Inertial and uniformly accelerated frames of
reference; Static and dynamic friction; Kinetic and potential energy;
Work and power; Conservation of linear momentum and mechanical
energy.
Systems of particles; Centre of mass and its motion; Impulse; Elastic
and inelastic collisions.
Law of gravitation; Gravitational potential and field; Acceleration due to
gravity; Motion of planets and satellites in circular orbits; Escape
velocity.
Rigid body, moment of inertia, parallel and perpendicular axes
theorems, moment of inertia of uniform bodies with simple geometrical
shapes; Angular momentum; Torque; Conservation of angular
momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling
without slipping of rings, cylinders and spheres; Equilibrium of rigid
Page - 8
PART - A (Hkkx- A)
Straight Objective Type
This section contains 30 questions. Each question has 4 choices (1), (2), (3) and (4) for its answer, out
of which ONLY ONE is correct.
(lh/ks oLrqfu"B izdkj)
bl [k.M esa 30 iz'u gSaA izR;sd iz'u ds 4 fodYi (1), (2), (3) rFkk (4) gSa] ftuesa ls flQZ ,d lgh gSA
1. Triangle ABC is divided into four regions with areas as shown in the diagram. find x.
f=kHkqt ABC dks pkj {ks=k esa foHkkftr fd;k x;k gS ftuds {ks=kQy dks fp=kkuqlkj n'’’ kkZ;k x;k gS] rks x dk eku gksxk
1998 1928 1898 1828
(1) (2) (3) (4)
67 67 67 67
2. If ABC is a quarter circle and a circle is inscribed in it and if AB = 1 cm, find radius of smaller circle.
;fn ABC ,d o`Ùk dk pkSFkkbZ Hkkx gS] ftlds vanj ,d o`Ùk cuk;k tkrk gS vkSj ;fn AB = 1 cm gks rks] NksVs o`Ùk
dh f=kT;k Kkr djksA
A
1cm
B 1cm C
 
(1) 2 1 (2) 21/2 (3) 21/2 (4) 12 2
3. Rasik walks 20 m North. Then he turns right and walks 30 m. Then he turns right and walks 35 m. Then
he turns left and walks 15 m. Then he again turns left and walks 15 m. In which direction and how many
metres away is he from his original position ?
(1) 15 metres West (2) 30 metres East (3) 30 metres West (4) 45 metres East
jf'kd 20 eh0 mÙkj esa pyrk gS fQj og nk;sa eqM+dj 30 eh0 pyrk gS fQj og nk;sa eqM+dj 35 eh0 pyrk gS fQj
og ck;sa eqM+dj 15 eh0 pyrk gS fQj nqckjk og ck;sa eqM+dj 15 eh0 pyrk gSA vc og viuh çkjafHkd fLFkfr ls fdruh
nwj o fdl fn'kk esa gS\
(1) 15 eh0 if'pe esa (2) 30 eh0 iwoZ esa (3) 30 eh0 if'pe esa (4) 45 eh0 iwoZ esa
pqr
4. p,q and r are three positive numbers and Q = . If (Q–p) : (Q–q) : (Q–r) = 2 : 5 : 7, then find the
2
ratio of p,q and r ?
pqr
;fn p, q o r rhu /kukRed la[;k,sa gks rFkk Q = ;fn (Q–p) : (Q–q) : (Q–r) = 2 : 5 : 7 rks p,q o r dk
2
vuqikr gksxk
(1) 9 : 7 : 12 (2) 12 : 9 : 7 (3) 12 : 7 : 9 (4) 7 : 9 : 12
5. If cos + cos2  = 1, then sin12  + 3 sin10  + 3 sin8  + sin6  + 2 sin4  + 2 sin2  – 2 =
;fn cos + cos2  = 1 gS] rks sin12  + 3 sin10  + 3 sin8  + sin6  + 2 sin4  + 2 sin2  – 2 =
(1) 0 (2) 1 (3) 2 (4) 3
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