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29 Pages·2011·2.28 MB·English

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MTG Books
(A unit of MTG Learning Media (P) Ltd.)
New Delhi | Gurgaon
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Contents
Chapter Page No.
PHYSICS
1. Units and Measurements ..............................................................................................................1
2. Description of Motion in One Dimension .....................................................................................3
3. Description of Motion in 2 and 3 Dimensions..............................................................................7
4. Laws of Motion ............................................................................................................................11
5. Work, Energy and Power ............................................................................................................17
6. Rotational Motion and Moment of Inertia ....................................................................................23
7. Gravitation ....................................................................................................................................29
8. Properties of Matter .....................................................................................................................33
9. Oscillations ...................................................................................................................................37
10. Waves ..........................................................................................................................................43
11. Heat and Thermodynamics ..........................................................................................................47
12. Transfer of Heat ...........................................................................................................................53
13. Electrostatics ................................................................................................................................57
14. Current Electricity .........................................................................................................................65
15. Thermal and Chemical Effects of Current ...................................................................................71
16. Magnetic Effect of Current ...........................................................................................................75
17. Magnetism ....................................................................................................................................81
18. Electromagnetic Induction and Alternating Current .....................................................................85
19. Ray Optics ...................................................................................................................................91
20. Wave Optics .................................................................................................................................95
21. Electromagnetic Waves ................................................................................................................97
22. Electrons and Photons.................................................................................................................99
23. Atoms, Molecules and Nuclei ....................................................................................................103
24. Solids and Semiconductor Devices ...........................................................................................109
25. Practical Physics ........................................................................................................................113
SOLvEd PAPEr - 2009 ............................................................................................................115
SOLvEd PAPEr - 2010 ............................................................................................................123
SOLvEd PAPEr - 2011 ............................................................................................................123
CHEMISTrY
1. Atoms, Molecules and Chemical Arithmetic .................................................................................1
2. States of Matter ............................................................................................................................3
3. Atomic Structure, Chemical Bonding & Molecular Structure .......................................................7
4. Solutions ......................................................................................................................................15
5. Energetics ....................................................................................................................................21
6. Equilibrium ...................................................................................................................................27
7. Redox Reactions & Electrochemistry ..........................................................................................35
8. Kinetics .........................................................................................................................................41
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9. Nuclear Chemistry........................................................................................................................45
10. Surface Chemistry .......................................................................................................................49
11. Metallurgy .....................................................................................................................................51
12. Periodic Properties .....................................................................................................................53
13. Chemistry of Non-metals .............................................................................................................57
14. Chemistry of Metals .....................................................................................................................63
15. Chemistry of Representative Elements .......................................................................................67
16. Transition Metals Including Lanthanides .....................................................................................71
17. Coordination Compounds and Organometallics ..........................................................................77
18. General Organic Chemistry .........................................................................................................81
19. Hydrocarbons ...............................................................................................................................87
20. Halides, Hydroxy Compounds & Ethers ......................................................................................93
21. Aldehydes, Ketones, Carboxylic Acids & Their Derivatives ........................................................99
22. Nitrogen Containing Compounds ...............................................................................................103
23. Polymers ....................................................................................................................................107
24. Biomolecules ..............................................................................................................................109
25. Chemistry in Action ....................................................................................................................113
SOLvEd PAPEr - 2009 ............................................................................................................115
SOLvEd PAPEr - 2010 ............................................................................................................123
SOLvEd PAPEr - 2011 ............................................................................................................123
MATHEMATICS
1. Set, Relations and Functions .......................................................................................................1
2. Complex Numbers ........................................................................................................................7
3. Matrices and Determinants ..........................................................................................................11
4. Quadratic Equations.....................................................................................................................17
5. Permutations and Combinations ..................................................................................................23
6. Mathematical Induction and its Applications ...............................................................................27
7. Binomial Theorem ........................................................................................................................29
8. Sequences and Series .................................................................................................................35
9. Differential Calculus .....................................................................................................................41
10. Integral Calculus ..........................................................................................................................51
11. Differential Equations ...................................................................................................................63
12. Two Dimensional Geometry .........................................................................................................67
13. Three Dimensional Geometry ......................................................................................................81
14. Vector Algebra ..............................................................................................................................89
15. Statistics .......................................................................................................................................95
16. Probability ....................................................................................................................................99
17. Trigonometry ..............................................................................................................................103
18. Mathematical Logic ....................................................................................................................109
19. Statics ........................................................................................................................................111
20. Dynamics ..................................................................................................................................115
SOLvEd PAPEr - 2009 ............................................................................................................121
SOLvEd PAPEr - 2010 ............................................................................................................129
SOLvEd PAPEr - 2011 ............................................................................................................123
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*

seCtion A
20
18
Unit - I: Physics and Measurement 16
14
Plehaysst iccso,u tnetc,h ancoclougrayc ayn da nsdo cpieretyc,i sSio. nI. uonf itms,e fausnudrainmge inntsatlr aunmde dnetsr,i veerdr ournsi tisn, Marks11802
6
measurement, significant figures. 4
2
0
Dimensions of physical quantities, dimensional analysis and its 2007 2008 2009 2010 2011
Years
applications.
Average = 1.4
Unit - II: Kinematics
Frame of reference, motion in a straight line: position-time graph, speed and
20
velocity, uniform and non-uniform motion, average speed and instantaneous 1168
14
velocity. Uniformly accelerated motion, velocity-time, position-time graphs, Marks11802
relations for uniformly accelerated motion. Scalars and vectors, vector 6
4
2
addition and subtraction, zero vector, scalar and vector products, unit vector, 0
2007 2008 2009 2010 2011
resolution of a vector, relative velocity, motion in a plane, projectile motion, Years
Average = 7.6
uniform circular motion.
Unit - III: Laws of Motion
20
18
Force and inertia, Newton’s first law of motion, momentum, Newton’s second 16
14
llainwe aorf mmoomtioenn,t uimmp ualnsde ,i tNs eawptpolnic’sa ttihoinrds ,l aewqu oilfi bmrioutmio no,f lacwon ocfu crroennste frovracteiosn. of Marks11802
6
4
Static and kinetic friction, laws of friction, rolling friction. Dynamics of uniform 2
0
2007 2008 2009 2010 2011
circular motion: centripetal force and its applications.
Years
Average = 2.8
Unit - Iv: Work, Energy and Power
Work done by a constant force and a variable force, kinetic and potential 20
18
energies, work-energy theorem, power. 16
14
Potential energy of a spring, conservation of mechanical energy, conservative Marks11802
and non-conservative forces, elastic and inelastic collisions in one and two 46
2
dimensions. 0
2007 2008 2009 2010 2011
Years
Unit - v: rotational Motion Average = 4
Centre of mass of a two-particle system, centre of mass of a rigid body, basic
20
18
concepts of rotational motion, moment of a force, torque, angular momentum, 16
14
conservation of angular momentum and its applications, moment of inertia, Marks11802
radius of gyration, values of moments of inertia for simple geometrical objects, 6
4
parallel and perpendicular axes theorems and their applications. 02
2007 2008 2009 2010 2011
Rigid body rotation, equations of rotational motion. Years
Average = 7.6
* For latest information, please refer AIEEE Prospectus, 2012
7
Unit - vI: Gravitation 20
18
16
The universal law of gravitation. 14
Acceleration due to gravity and its variation with altitude and depth. Marks11802
6
4
Kepler’s laws of planetary motion. 2
0
Gravitational potential energy, gravitational potential. 2007 2008 2009 2010 2011
Years
Average = 2.8
Escape velocity, orbital velocity of a satellite, geostationary satellites.
Unit - vII: Properties of Solids and Liquids
Elastic behaviour, stress-strain relationship, Hooke’s law, Young’s modulus,
bulk modulus, modulus of rigidity.
20
Pressure due to a fluid column, Pascal’s law and its applications. 18
16
14
Viscosity, Stokes’s law, terminal velocity, streamline and turbulent flow, Marks11802
Reynolds number, Bernoulli’s principle and its applications. 6
4
Surface energy and surface tension, angle of contact, application of surface 2
0
2007 2008 2009 2010 2011
tension - drops, bubbles and capillary rise. Years
Average = 6.6
Heat, temperature, thermal expansion, specific heat capacity, calorimetry,
change of state, latent heat.
Heat transfer-conduction, convection and radiation, Newton’s law of
cooling.
20
Unit - vIII: Thermodynamics 18
16
14
Thermal equilibrium, zeroth law of thermodynamics, concept of temperature, Marks11802
heat, work and internal energy, first law of thermodynamics. 6
4
Second law of thermodynamics, reversible and irreversible processes, 02
2007 2008 2009 2010 2011
Carnot engine and its efficiency. Years
Average = 11
Unit - IX: Kinetic Theory of Gases
Equation of state of a perfect gas, work done on compressing a gas. 1280
16
Kinetic theory of gases - assumptions, concept of pressure, kinetic energy 14
and temperature, rms speed of gas molecules, degrees of freedom, law of Marks11802
6
4
equipartition of energy, applications to specific heat capacities of gases, 2
0
2007 2008 2009 2010 2011
mean free path, Avogadro’s number.
Years
Average = 0
Unit - X: Oscillations and Waves
Periodic motion - period, frequency, displacement as a function of time,
periodic functions, simple harmonic motion (S.H.M.) and its equation, phase,
20
18
oscillations of a spring - restoring force and force constant, energy in S.H.M. 16
14
- kinetic and potential energies, simple pendulum - derivation of expression Marks11802
for its time period, free, forced and damped oscillations, resonance. 46
2
Wave motion, longitudinal and transverse waves, speed of a wave, displacement 0
2007 2008 2009 2010 2011
relation for a progressive wave, principle of superposition of waves, reflection Years
Average = 10.6
of waves, standing waves in strings and organ pipes, fundamental mode
and harmonics, beats, Doppler effect in sound.
8
Unit - XI: Electrostatics
Electric charges, conservation of charge, Coulomb’s law-forces between two
20
point charges, forces between multiple charges, superposition principle and 18
16
continuous charge distribution. 14
Electric field, electric field due to a point charge, electric field lines, electric Marks11802
6
4
dipole, electric field due to a dipole, torque on a dipole in a uniform electric 2
0
field. 2007 2008 2009 2010 2011
Years
Electric flux, Gauss’s law and its applications to find field due to infinitely Average = 13
long, uniformly charged straight wire, uniformly charged infinite plane sheet
and uniformly charged thin spherical shell.
Electric potential and its calculation for a point charge, electric dipole and
system of charges, equipotential surfaces, electrical potential energy of a
system of two point charges in an electrostatic field.
Conductors and insulators, dielectrics and electric polarization, capacitor,
combination of capacitors in series and in parallel, capacitance of a parallel
plate capacitor with and without dielectric medium between the plates, energy
stored in a capacitor.
Unit - XII: Current Electricity
Electric current, drift velocity, Ohm’s law, electrical resistance, resistances of
20
different materials, V-I characteristics of ohmic and non-ohmic conductors, 18
16
14
eselercietrsi caanl de npearrgayll ealn cdo pmobwinear,t ieolnesc torifc arel sriesstoisrtsiv, ittye,m cpoelorautru creo ddee pfoern rdeesniscteo rosf, Marks11802
6
4
resistance. 2
0
Electric cell and its internal resistance, potential difference and emf of a 2007 2008 2009 2010 2011
Years
cell, combination of cells in series and in parallel. Average = 6.2
Kirchhoff’s laws and their applications, Wheatstone bridge, metre bridge.
Potentiometer - principle and its applications.
Unit - XIII: Magnetic Effects of Current and Magnetism
Biot - Savart law and its application to current carrying circular loop.
Ampere’s law and its applications to infinitely long current carrying straight
20
wire and solenoid. Force on a moving charge in uniform magnetic and 18
16
14
eFloerccteri co fine ald sc,u crryecnlot-tcroanrr.ying conductor in a uniform magnetic field, force Marks116802
4
between two parallel current-carrying conductors-definition of ampere, 2
0
2007 2008 2009 2010 2011
torque experienced by a current loop in uniform magnetic field, moving coil Years
Average = 7.4
galvanometer, its current sensitivity and conversion to ammeter and voltmeter.
Current loop as a magnetic dipole and its magnetic dipole moment, bar
magnet as an equivalent solenoid, magnetic field lines, earth’s magnetic field
and magnetic elements, para-, dia- and ferro- magnetic substances .
Magnetic susceptibility and permeability, hysteresis, electromagnets and
permanent magnets.
9
Unit - XIv: Electromagnetic Induction and Alternating Currents
24
22
Electromagnetic induction, Faraday’s law, induced emf and current, Lenz’s 20
18
16
law, Eddy currents, self and mutual inductance. Marks111024
Alternating currents, peak and rms value of alternating current/ voltage, 8
6
4
reactance and impedance, LCR series circuit, resonance, quality factor, 02
2007 2008 2009 2010 2011
power in AC circuits, wattless current. Years
AC generator and transformer. Average = 9.8
20
Unit - Xv: Electromagnetic Waves 18
16
14
Electromagnetic waves and their characteristics, transverse nature of Marks11802
electromagnetic waves, electromagnetic spectrum (radio waves, microwaves, 6
4
2
infrared, visible, ultraviolet, X-rays, gamma rays). Applications of electromagnetic 0
2007 2008 2009 2010 2011
waves.. Years
Average = 0.8
Unit - XvI: Optics
Reflection and refraction of light at plane and spherical surfaces, mirror
formula, total internal reflection and its applications, deviation and dispersion
20
18
of light by a prism, lens formula, magnification, power of a lens, combination 16
14
of thin lenses in contact, microscope and astronomical telescope (reflecting Marks11802
and refracting) and their magnifying powers. 46
2
Wave optics - wavefront and Huygens’s principle, laws of reflection 0
2007 2008 2009 2010 2011
and refraction using Huygens’s principle, interference, Young’s double slit Years
Average = 8.2
experiment and expression for fringe width, coherent sources and sustained
interference of light, diffraction due to a single slit, width of central maximum,
resolving power of microscopes and astronomical telescopes, polarisation,
plane polarized light, Brewster’s law, uses of plane polarized light and
polaroids.
20
Unit - XvII: dual Nature of Matter and radiation 18
16
14
Dual nature of radiation, photoelectric effect, Hertz and Lenard’s observations, Marks11802
Einstein’s photoelectric equation, particle nature of light. 6
4
2
Matter waves-wave nature of particle, de Broglie relation, Davisson-Germer 0
2007 2008 2009 2010 2011
Years
experiment. Average = 6.2
Unit - XvIII: Atoms and Nuclei
Alpha-particle scattering experiment, Rutherford’s model of atom, Bohr
20
model, energy levels, hydrogen spectrum. 18
16
Cisoomtopnoessi,t iroand iaonadct isviiztye- aolpf hnau, cbleeutas , aantdo mgiacm mmaas speasrt,i cilseost/orapyess ,a insdo btahresir, Marks11168024
4
properties, radioactive decay law, mass-energy relation, mass defect, 02
2007 2008 2009 2010 2011
binding energy per nucleon and its variation with mass number, nuclear Years
Average = 9.2
fission and fusion.
10
Unit - XIX: Electronic devices
20
18
Semiconductors, semiconductor diode - I-V characteristics in forward and 16
14
reverse bias, diode as a rectifier, I-V characteristics of LED, photodiode, Marks11802
6
solar cell. Zener diode, Zener diode as a voltage regulator, junction transistor, 4
2
0
transistor action, characteristics of a transistor, transistor as an amplifier 2007 2008 2009 2010 2011
Years
(common emitter configuration) and oscillator, logic gates (OR, AND, NOT, Average = 6.4
NAND and NOR), transistor as a switch.
Unit - XX: Communication Systems 1280
16
Pwraovpea pgraotpioang aotifo en,le ncetreodm faogr nmeotidcu wlaatioven,s ainm pthliteu daet maonsdp fhreeqreu,e nsckyy manodd uslaptaiocne, Marks1110248
6
4
bandwidth of signals, bandwidth of transmission medium, basic elements 2
0
2007 2008 2009 2010 2011
of a communication system (Block Diagram only). Years
Average = 0
seCtion B
Unit XXi : Experimental Skills
Familiarity with the basic approach and observations of the experiments
20
and activities: 18
16
14
 Vernier callipers-its use to measure internal and external diameter and Marks11028
depth of a vessel. 6
4
 Screw gauge-its use to determine thickness/diameter of thin sheet/ 02
2007 2008 2009 2010 2011
wire. Years
Average = 5
 Simple Pendulum-dissipation of energy by plotting a graph between
square of amplitude and time.
 Metre Scale - mass of a given object by principle of moments.
 Young’s modulus of elasticity of the material of a metallic wire.
 Surface tension of water by capillary rise and effect of detergents.
 Co-efficient of Viscosity of a given viscous liquid by measuring terminal
velocity of a given spherical body.
 Plotting a cooling curve for the relationship between the temperature of
a hot body and time.
 Speed of sound in air at room temperature using a resonance tube.
 Specific heat capacity of a given (i) solid and (ii) liquid by method of
mixtures.
 Resistivity of the material of a given wire using metre bridge.
 Resistance of a given wire using Ohm’s law.
 Potentiometer –
(i) Comparison of emf of two primary cells.
(ii) Determination of internal resistance of a cell.
 Resistance and figure of merit of a galvanometer by half deflection
method.