Physics IIT JEE Engineering Solved Papers 2005-2019 chapter wise topic wise problems questions solutions fully solved

1007 Pages·2020·47.347 MB·English

by  Vikas Jain

CHAPTERWISE
TOPICWISE
ENGINEERING ENTRANCES
SOLVED
PAPERS
2019 -2005
PHYSICS
A Master Collection ofE xams Questions to Practice for
JEE MAIN & ADVANCED 2020
Author
Vikas Jain
*arihant
ARIHANT PRAKASHAN (Series), MEERUT
,:carihant
ARIHANT PRAKASHAN (SERIES), MEERUT
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Followuson O ~ @)
PREFACE
Once you have an idea of what you are going to be asked in a test, you are more
comfortable to tackle it, and your performance in the test improves dramatically.
Once you know the importance of different chapters and topics from the syllabi
for a exam by going through chapterwise and topical segregation of previous
years' questions, you can strategically plan out your preparation for the exam by
allotting your time accordingly for the chapters or the topics of the chapters.
This book Chapterwise & Topicwise Engineering Entrances Solved Papers Physics
has Previous Years' Engineering Entrance Questions with their Solutions to fulfill
the above mentioned needs of understanding the nature & pattern of questions
being asked in JEE Main & Advanced and other Engineering Entrances.
The Salient Features oft he Book a re
• It covers all the questions with explanations from year 2005 to 2019 for all
engineering entrance exams in India (both National as well as RegionaO.
• Chapterwise division and topical categorisation has been done keeping in mind
the syllabi of various engineering entrance exams and NCERTTextbooks
• Questions of all engineering entrances are grouped according to the year.
• Extreme care is taken, while solving the questions and compiling their
explanations for their accuracy.
We hope that the book will be of utmost help to you in your studies, and propel
you to success in the engineering entrance exams. Suggestions for further
improvement are welcome.
Publisher
CONTENTS
th
[ PART 1] Based on Class Xl NCERT
1. Units and Measurements 1-22 7. Systems of Particles and
Units Rotational Motion 148-183
Dimensions Centre of Mass
Error in Measurement Angular Displacement, Velocity and
Acceleration
2. Motion in a Straight Line 23-51
Moment of Inertia
Distance and Displacement
Torque, Couple and Angular Momentum
Uniform and Non-uniform Motion
Rotational Energy and Power
Graphs
Rolling Motion
3. Motion in a Plane I (Vectors) 52-65
8. Gravitation 184-206
Fundamental of Vectors
Newton's Law of Gravitation
Addition and Substraction of Vectors
Acceleration due to Gravity
Multiplication ofV ectors
Gravitational Potential, Energy and
Relative Motion Escape Velocity
Motion of Satellites and Kepler's Laws of
4. Motion in a Plane (Two and Three
Planetary Motion
Dimensions) 66-86
Uniform and Non-uniform Circular Motion 9. Mechanical Properties of Solids 207-218
Projectile Motion Hooke's Law: Young's Bulk and Rigidity
Modulus
s. Laws of Motion 87-119
Work Done in Stretching a Wire
Newton's Laws of Motion
Poisson's Ratio and Thermal Stress
Conservation of Linear Momentum
Equilibrium of Forces 10. Mechanical Properties of Fluids 219-245
Motion of Connected Bodies and Friction Pressure and Density
Motion on Inclined Surfaces Pascal's Law and Archimedes' Principle
Fluid Law
6. Work, Energy and Power 120-147
Surface Tension and Surface Energy
Work Done
Pressure Difference
Energy
Angle of Contact and Capillarity
Power
Collisions
11. Thermal Properties of Matter 246-273 Degree of Freedom and Specific Heat
Thermometry (Mean Free Path)
Thermal Expansion
14. Oscillations 311-338
Calorimetry
Displacement of SHM and Phase
Thermal Conduction
Velocity, Acceleration and Energy SHM
Radiation (General, Kirchhoff's Law and
Time Period and Frequency
Black Body)
Simple Pendulum and its Applications
Radiation (Wien's Law,Stefan's Law and
Superposition ofSHM and Resonance
Newton's Law of Cooling)
15. Waves 339-376
12. Thermodynamics 274-296
Basics of Mechanical Waves
First Law of Thermodynamics
Progressive Waves
Thermodynamic Process
Interference and superposition Waves
Heat Engine, Refrigerator and Second Law of
Thermodynamics Beats
Stationary Waves: Vibrations of Strings and
13. Kinetic Theory of Gases 297-310 Organ Pipes
Gas Laws
Doppler's Effect
Various Speed of Gases
Musical Sounds and Acoustics of Buildings
Pressure and Energy of Gas
I
PART 11] Based on Class XI Ith NCERT
16. Electrostatics I 377-422 19. Current and Electricity II 497-511
Electric Charge and Coulomb's Law Heating Effects of Current
Electric Field Thermoelectricity
Electric Dipole Chemical Effects of Current
Electric Potential and Potential Energy
20. Moving Charges and Magnetism 512-544
Electric Flux and Gauss'Theorem
Biot-Savart's Law and Ampere's Circuital Law
17. Electrostatics II (Capacitance) 423-446 Motion of a Charged Particle in a
Capacitance and Capacitors Magnetic Field
Grouping of Capacitor Force and Torque on a Current Carrying
Conductor
18. Current Electricity 447-496
Electric Conduction, Ohm's Law and Resistance 21. Magnetism and Matter 545-561
Magnet and their Properties
Combination of Resistances
Earth's Magnetism
Kirchhoff's Law Cells and their Combination
Magnetic Equipments
Different Measuring Instruments
Magnetic Material
22. Electromagnetic Induction 562-579 Diffraction of Light
Faraday's Law, Lenz's Law and Motional EMI Polarisation of Light
Motional and Static EMI
27. Dual Nature of Radiation & Matter 680-707
Applications of EMI (Motor, Dynamo,
Cathode Rays & Positive Rays
Transformer)
Dual Nature of Matter: de-Broglie Waves
23. Alternating Current 580-002 Photon & Photoelectric Effect
Alternating Current, Voltage and Power X-Rays
AC Circuits
28. Atoms and Nuclei 708-750
Growth and Decay of Currents
Early Atomic Structure
24. Electromagnetic Waves 603-ol 1 Bohr's Model Spectrum
Properties of Electromagnetic Waves Atomic Nucleus and Nuclear Reactions
Electromagnetic Spectrum Radioactivity
25. Ray Optics 612-055 Nuclear Fission and Fusion
Reflection of Light at Plane and Spherical 29. Semiconductor Devices 751-782
Mirrors
Solids and Crystals
Refraction of Light at Plane Surfaces
Semiconductors: p-n Junction
Total Internal Reflection
Transistor
Lenses and Prism
Digital Circuit
Scattering of Light
30. Communication System 783-795
Optical Instrument
Modulation and Demodulation
26. Wave Optics 656-079 Space and Line Communication
Nature of Light and Huygen's Principle
Lasers and Masers
Interference of Light
Constituents of Universe and Hubble's Law
Questions Asked in JEE Main 2015 797-805
Solved Papers 2016 (JEE Main, BITSAT, AP EAMCET, TS EAMCET, GGSIPU) 1-48
Solved Papers 2017 (JEE Main & Advanced, BITSAT, VIT & WB JEE) 1-48
Solved Papers 2018 (JEE Main & Advanced, BITSAT, WB JEE & KCET) 1-47
Solved Papers 2019 (JEE Main & Advanced, BITSAT & WB JEE) 1-49
Units and Measurements
QUICK REVIEW
Physical Quantities Some Supplementary Quantities and their SI Units
• All the quantities which can be measured directly or • Plane angle (8) at centre in radian
indirectly in terms of wruch laws of physics are described = Length of arc = !.. = rad <J
8 1
and whose measurement is necessary, are called physical
Radius r
Length of
quantities.
180° = 1t rad, circular
• Physical quantities are of two types, one is fundamental arc =r
1° = 60' = 60 min
quantities wruch is independent of other physical r
I' = I min = 60" = 60
quantities, second one is derived quantities which can be 8 = 1 rad
derived from the fundamental quantities. • The solid angle made by surface t,,.S at point O is given by
Unit ~Q = Mcos0
,J·
A physical quantity is measured by comparing with certain
standard amount of the same physical quantity called unit.
Different systems of units
MKS CGS FPS
ST unit
system system system
Length, m Length, cm Length, ft Tt is an extended form of
(metre) (centimetre) (foot) MKS system. Tt includes • It is measured in steradian.
four more fundamental
Mass, kg Mass, g Mass, lb • Solid angle at centre of sphere
units (in addition to three
(kTiliomgrea,ms ) T(gimrame,)s (Tpiomuned,s) rbeapsriecs uennitt sfu) nwdhaimche ntal Q = Area of surface of sphere= 41tR2 = 47t sr
(Radius)2 R2
(second) (second) (second) quantities in electricity,
basic matter quantity, heat
and light. Some Derived Quantities are with SI Units
• Area= (length) x (length) with unit m2.
SI units of fundamental quantities
• Force= (mass) x (acceleration) with unit kg-rns-2 or N.
Fundamental quantities ame Symbol
Commonly used derived lmits are as below :
Length metre m
• Joule (J) for energy or work, watt (W) for power, volt (V)
Mass kilogram kg
for potential difference, coulomb (C) for charge, tesla (T)
Time second s
for magnetic field, ohm ( Q) for resistance, etc.
Electric current ampere A
• The product of numerical value of the physical quantity (n)
Thermodynamic temperature kelvin K and its unit (u) remains constant.
Amount of substance mole mol
1.e. nu=constant n u =n u
Luminous intensity candela cd ⇒ 1 1 2 2
e.g. 2. 8 m = 280 cm= 0.0028 km
2 I Chapterwise & Topicwise Engineering Entrances Solved Papers
Some Important Units (Though outside SI units) Accuracy and Precision of Instrument
1 pound= 453.6 g = 0.4536 kg • The accuracy of a measurement is a measure of how close
the measured value is to the true value, while precision tells
l torr= 1mm of Hg= 133.3 Pa
us to what resolution the quantity is measured.
1 bar= 105 Nm-2 = 105 Pa, 1 shake= 10-8 s
Note For measuring mass of atoms and molecules atomic
l parsec= 3.08 x 1016 m = 3.26ly mass unit, 1 amu = 1.66x 10-2 kg = (1/12) of mass of
Parsec is the distance at which average radius of the earth's carbon-12, atom.
orbit subtends one second angle. • A clock is used to measure time interval ( cesium clocks are
1 light year (ly) = distance covered by light is vacuum in very accurate).
1 year=9.46x 1015 m. • Smaller the least count, higher is the accuracy of
measurement.
1 AU (Astronomical unit)= mean distance of the earth from
the sun= 1.5x 1011m. Errors in Measurement
1 calorie= 4.2 J, l eV = 1.6 x 10-19 J, 1 year= 365.25 days • Difference in the true value and the measured value of a
quantity is called error of measurement.
Some Important Prefixes
• Systematic errors are in one direction while random errors
lm = 1000 mm, 10-2 = cm, 10-6 =micro(µ), occur irregularly and at random in magnitude and direction.
10-9 = nano (n), 10-12 = pico (p), 10-15 = femto (f), • Mean of various observations from a1, a2, ..• , an is
103 = kilo (k), 106 = mega (M), 109 = giga (G), - _a_1_ +_a_2_+_· ·_· +_a_n
amean -
12 15 n
10 = tera (T), 10 = peta (P).
lt,,.a l+lt,,.a I+···+ lt,,.a I
Measurement • Mean absolute error, /t,,.a mean = 1 2 n
n
To make a measurement, the magnitude of the physical
Where, /t,,.a1 =la1 - ameanl
quantity is compared with the standard value of the same
physical quantity. /t,,.a2 = Ia 2 - a mean I
Measurement of Length
There are two methods for the measurement of length as
/t,,.an = Ia n - a mean I
below:
Direct method In this method, measurement of length • Fractional or relative error = /t,,.amean
involves the use of amean
(i) a metre scale (10-3 to 102 m) tia
Percentage error = mean x 100
(ii) vernier calliper (upto 10-4 m) amean
(iii) screw gauge and spherometer (up to 10-5m). • Error of a sum or a difference
Indirect method This method is used for measurement of i.e., Z=A+B
large distances like parallax method for distance of heavenly or Z = A - B is given by
bodies planets, stars, etc.
tiZ=M+M
Least Count • Error in quantity raised to some power
• Least count of instrument is smallest measurement which For Z=AaBbCc
can be made with instrument.
Value of 1 part on main scale(s)
• Least count=
Number ofp arts on vernier scale ( n)
Least count of vernier calliper= 1M SD - 1V SD Significant Figures
where, MSD = Main Scale Division, VSD = Vernier Scale • In a number which is the result of a measurement. The digits
Division. that are known reliably plus the first uncertain digit are
known as significant digits or significant figures.
• Least count of screw gauge
Pitch (p) • Larger the number of significant figures after the decimal
point in a measurement, higher is the accuracy of the
Number of parts on circular path ( n)
measurement.
Units and Measurements I 3
Rules for Determining Significant Figures Use of Dimensional Analysis
There are many steps to determine the significant Dimensions are used to check correctness of equation.
figures as below : e.g. F = mvt is incorrect
(i) In multiplication or division, the final result as [F]=[MLr2], [mvt]= [MLr1T]= [ML]
should retain as many significant figures as are
Only same dimensions quantities can be added or subtracted.
there in the original number with the least
significant figures. Dimensions are used to derive fo1mulae.
e.g. ( 1.2 kg) (1.325 ms-2) = 1.6 kg ms-2, e.g. For oscillating pendulum, T = k m0 lb gc
-7--.8--5-0= :k:g:. = 8 x lv,.. :i k gm _3 where, k is dimensionless constant, Tis time period, m is mass of
0.001 m3 bob, I is length of pendulum and g is acceleration due to gravity.
Equating dimensions on both sides
(ii) In addition or subtraction, the final result should
retain as many decimal places as are there in the [T]= [Mt [Lt [Lr 2t ⇒ [T]= [Ma Lb+c r 2c]
number with the least decimal places. - 1 I
e.g. 1.75 m + 0.2 m= 2m a = 0, b + c = 0, - 2c = I ⇒ c = -2' b = -2
\jf 2nH [·:
(iii) For a number greater than I without any decimal, ⇒
T= = k = 2n,experimentally]
the trailing zero (es) are insignificant
e.g. the number 35700 has last two zeroes are
Thus, we see that the dimensional analysis is used to establish the
insignificant
relation among the physical quantities.
=> It has only 3 significant figures.
Limitations Dimensional Analysis
(iv) For a number with a decimal, the trailing zero (es)
are significant. The dimensional method works only ift he dependence oft he product
type. The numerical constants having no dimensions can not be
e.g. the number 1.2000 has last three zeroes are
deduced or determined by dimensional method.
significant=> it has 5 significant figures.
This method works only if there are as many equations available as
(v) Observe 432.70 m has five significant figures,
when written as 43270 cm gives impression that it there are unknowns. Such as in mechanical quantities their is only
has four significant figures. three base quantities, i.e. mass, time and length. So, dimensions of
these three may be equations in the guessed relation giving at most
• To remove ambiguity or mistake, measurement
three equations in the exponents.
should be given in scientific notation, i.e.
4.3270 x 102 m has five significant figures. Some Useful Formulae to find Dimensions
Note Scientific notation of number is a x 10b. • F = ma, W = Fs, 't = r x F,
where, 0< a< 10,and bis integer may be positive or • Angular momentum L = I ro,
negative called order of magnitude. Stress d l f ..
• --.- = mo u us o elast1c1ty,
e.g. Radius of the earth= 6400000 m = 6.4 x 106 m Stram
Force
has order of magnitude 6. We can also say that the • Stress = --,
radius of the earth is of order of 106. Area
Radius of hydrogen nucleus = 1.2 x 10-15 m has • HeatQ to raise temperature by T,Q = msT,
liQ KA (T. - T, )
order of magnitude= - 15. Also, radius of hydrogen • Heatflow,-= 2 1
nucleus is of the order oflo-15• fit I '
• Wave equation, y = a sin (kx-rot 1
Dimensions of a Physical Quantity
1
The dimensions of a physical quantity are powers to • Force between two charges F =- - q, q2
' 4ne r2 '
which base or fundamental physical quantities should 0
be raised by some exponent to represent the given • Magnetic field, B = µ 01, Voltage, V = JR,
derived physical quantity. 2R
e.g. Force with unit N or kg - ms-2 has mass (M), • Power= VI, Charge, q = CV,
di
length (L) and time (T).
• Induced emf, e = - L-
dt
Dimensions of force are expressed as below:
[Force]= [MLr2] • Electric field, E = ~d and p V = Nk8 T.
Force has the din1ension in mass= 1, in length= I, where all symbols have their usual meanings.
in time= - 2