book

JEE Advanced Physics Mechanics I

Name: JEE Advanced Physics Mechanics I
Author: Rahul Sardana
ISBN: 9789379233172

by Rahul Sardana

January 2026

856 pages

31h 21m

English

Pearson India

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Cover
Title Page
Contents
Chapter Insight
Preface
About the Author
Chapter 1 Mathematical Physics
General Mathematics: A ReviewAlgebraMultiplying Powers of a Given QuantityPowers of TenArithmetic Progression (AP)Geometric Progression (GP)Coordinate GeometryMeasurement of Positive and Negative AnglesFactorialSeries ExpansionsFunction: An IntroductionRepresentation of a FunctionSlope of a LineConcept of Limit of Functions: Meaning of the Symbol x → aDerivative of a FunctionDefinition of Differential CoefficientMathematical DefinitionGeometrical Interpretation of DerivativeRules of DifferentiationImportant Differential FormulaeApplications of DerivativeIncreasing and Decreasing FunctionMaximum and Minimum Values of a Functiondy/dx as Rate MeasureIntegration: An IntroductionRules for IntegrationDefinite IntegralsGeometrical Interpretation of Definite IntegrationPractice ExerciseSingle Correct Choice Type QuestionsAnswer Key–Practice Exercise
Chapter 2 Measurements and General Physics
Scientific ProcessObservationPhysical QuantityMeasurement of a Physical QuantityFundamental and Derived UnitsSystem of UnitsDimensionsDimensional FormulaDimensional EquationDimensions of Some Physical QuantitiesQuantities Having Same DimensionsSymbolsPrinciple of Homogeneity and Uses of Dimensional AnalysisConversion of Units from One System to AnotherTo Derive the New RelationsLimitations of Dimensional AnalysisLeast CountSignificant FiguresRounding OffPrecision and Accuracy of a MeasurementSignificant Figures in Calculations: Few ExamplesOrder of Magnitude: RevisitedOrder of MagnitudeErrors in a Repeated MeasurementMean ValueStandard Deviation (σ)Standard Error in the MeanAbsolute ErrorsRelative and Percentage ErrorCombination or Propagation of ErrorsVernier CalliperConcept of Zero ErrorCalculating Zero ErrorSteps to be Followed While Taking Readings with Vernier CallipersHow to MeasureScrew GaugeConstructionPitch of ScrewPrinciple of Screw GaugeDetermination of Pitch of ScrewLeast Count of ScrewDetermination of Least CountBacklash ErrorDetermination of Zero ErrorReading a Screw GaugeSolved ProblemsPractice ExercisesSingle Correct Choice Type QuestionsMultiple Correct Choice Type QuestionsReasoning Based QuestionsLinked Comprehension Type QuestionsMatrix Match/Column Match Type QuestionsInteger/Numerical Answer Type QuestionsAnswer Keys–Test Your Concepts and Practice Exercises
Chapter 3 Vectors
IntroductionGeometrical DefinitionTypes of VectorTriangle Law of Vector Addition of Two VectorsParallelogram Law of Vector Addition of Two VectorsTriangle InequalityPolygon Law of Vector AdditionProperties of Vector AdditionMultiplication of a Vector by a ScalarProperties of Multiplication of Vector by a ScalarPosition VectorTo Find AB if the Position Vectors of Points A and B are KnownSubtraction of VectorsRectangular Components in 2-D SpaceRectangular Components in 3-D SpaceVector Multiplication of 2 VectorsDot ProductGeometrical InterpretationPhysical InterpretationCross Product or Vector ProductGeometrical Interpretation of Cross ProductPhysical InterpretationDirectionsLami’s TheoremScalar Triple Product (STP)Geometrical Interpretation of Scalar Triple ProductProperties of Scalar Triple ProductVector Triple Product (VTP)Solved ProblemsPractice ExercisesSingle Correct Choice Type QuestionsMultiple Correct Choice Type QuestionsReasoning Based QuestionsLinked Comprehension Type QuestionsMatrix Match/Column Match Type QuestionsInteger/Numerical Answer Type QuestionsAnswer Keys–Test Your Concepts and Practice Exercises
Chapter 4 Kinematics I
Rectilinear Motion and Motion Under GravityIntroduction to Classical MechanicsConcept of Point Object (Particle Model)Concept of Reference FrameDistance and Displacement (Relative Position Vector)Properties of DisplacementAverage Speed and Average VelocityConcept of Average SpeedInstantaneous Speed and Instantaneous VelocityFactors Affecting Acceleration of a BodyUniformly Accelerated Motion SystemsDirections of Vectors in Straight Line MotionReaction TimeEquations of Motion for Variable AccelerationGraphical Interpretation of Some QuantitiesMotion with Uniform VelocityGraphs in Uniformly Accelerated Motion (a ≠ 0)Interpretation of Some More GraphsInterpretation of Graphs of Various Types of MotionGraphsVertical Motion Under GravityMotion in a Plane and Relative VelocityMotion in a Plane: An IntroductionRelative MotionRelative Motion in One DimensionRelative AccelerationEquations of Motion in Relative Velocity FormRelative Motion in Two DimensionRelative Motion for Bodies Moving IndependentlyRelative Motion for Bodies Moving DependentlyVelocity of Approach/Separation in Two DimensionWhere to Apply the Concept of Relative Motion?Category 1: Distance of Closest Approach Between Two Moving BodiesRelative Motion in River Flow (One-dimensional Approach)River Problem in One DimensionCategory 2: River-boat Problems or River-swimmer ProblemsCondition for the Swimmer to Cross the River in the Minimum Possible TimeCondition for Zero Drift or Condition to Reach the Opposite PointCondition When the Boatman Crosses the River Along the Shortest RouteCategory 3: Aeroplane-wind ProblemsCategory 4: Rain-man ProblemsSolved ProblemsPractice ExercisesSingle Correct Choice Type QuestionsMultiple Correct Choice Type QuestionsReasoning Based QuestionsLinked Comprehension Type QuestionsMatrix Match/Column Match Type QuestionsInteger/Numerical Answer Type QuestionsAnswer Keys–Test Your Concepts and Practice Exercises

Chapter 5 Kinematics II
Curvilinear MotionIntroductionAngular Displacement, Angular Velocity, Angular and Centripetal AccelerationAngular, Centripetal, Tangential and Total AccelerationUnit Vectors along the Radius (r) and the Tangent (t)Velocity and Acceleration of Particle in Circular MotionKinematics of Motion of Particle in a Curved TrackRadius of CurvatureProjectile MotionProjectile Motion: An IntroductionTypes of Projectile MotionHorizontal ProjectileOblique ProjectileRange, Maximum Height and Time of Flight for Complimentary AnglesTwo Unique Times for which Projectile is at Same HeightRadius of Curvature of an Oblique Projectile at a Point PEquation of Trajectory of an Oblique Projectile in Terms of RangeRelative Motion Between Two Projectiles/Motion of One Projectile as Seen from Another ProjectileCondition of Collision Between Two ProjectilesMotion of a Projectile Up an Inclined PlaneMotion of a Projectile Down an Inclined PlaneSolved ProblemsPractice ExercisesSingle Correct Choice Type QuestionsMultiple Correct Choice Type QuestionsReasoning Based QuestionsLinked Comprehension Type QuestionsMatrix Match/Column Match Type QuestionsInteger/Numerical Answer Type QuestionsAnswer Keys–Test Your Concepts and Practice Exercises
Chapter 6 Newton’s Laws of Motion
Dynamics: An IntroductionForceNewton’s Laws of MotionNewton’s First Law or Law of InertiaMomentum pNewton’s Second Law of MotionNewton’s Third Law of MotionFundamental Forces in NatureClassification of Forces on the Basis of ContactSystemConcept of Impulse and Impulse as Area Under f-t Graph Impulse – Momentum TheoremConstrained Motion of Connected ParticlesOne Degree of FreedomTwo Degrees of FreedomSimple Constraint Motion of Bodies and Particles in Two DimensionsWedge ConstraintsFree Body Diagram (FBD)Weight of a Body (W )Normal Reaction/Normal Contact ForceNormal Reaction for Various SituationsTension in a Light StringTension in a Rope Having Uniform Mass DistributionSpring ForceSpring BalanceNewton’s Second Law: RevisitedAtwood’s MachineMasses Connected with StringsMasses on a Smooth Surface in Contact with Each OtherBody on a Smooth Inclined PlaneWhen Masses are Suspended Vertically from a Rigid SupportWhen Two Masses are Attached to a String which Passes Over a Pulley Attached to the Edge of a Horizontal TableWhen Two Masses are Attached to a String which Passes Over a Pulley Attached to the Edge of an Inclined PlaneWhen Two Masses are Attached to a String which Passes Over a Pulley Attached to the Top of a Double Inclined PlaneWeighing MachineEquilibrium of Coplanar ForcesRotational Equilibrium (Law of Conservation of Moments of Force)Examples and Situations for Rotational EquilibriumPseudo ForceFrames of ReferenceMan in a LiftFrictionIntroductionReasons for FrictionContact Force and FrictionStatic and Kinetic FrictionLaws of FrictionCoefficient of Friction, Limiting Friction and Angle of FrictionThe Coefficient of Friction (μ)Resultant Force Exerted by a Surface on the BlockAcceleration of Block on Rough Horizontal SurfaceAngle of Repose (α)Acceleration of Block Down a Rough InclineRetardation of Block Moving Up a Rough InclineMaximum Height (H ) to which an Insect can Crawl Up a Rough Hemispherical BowlMaximum Length of Chain that can Hang from the Table Without Falling from itMinimum Force for Motion along Horizontal Surface and its DirectionDynamics of Circular MotionCircular Motion: An IntroductionVariables of Circular MotionKinematics of Circular MotionRelative Angular VelocityAngular Displacement d0: RevisitedAngular Velocity w: RevisitedAngular Acceleration α: RevisitedRadial and Tangential AccelerationCalculation of Centripetal AccelerationDynamics of Circular MotionMotion of a Particle in a Curved Track and Radius of CurvatureCentrifugal ForceRotor or Death WellMotion of a CyclistCircular Turning on RoadsBy Friction Only: Vehicle on a Level RoadMaximum Velocity for Skidding and OverturningBy Banking of Roads/TracksBy Friction and Banking of Road BothConical PendulumSolved ProblemsPractice ExercisesSingle Correct Choice Type QuestionsMultiple Correct Choice Type QuestionsReasoning Based QuestionsLinked Comprehension Type QuestionsMatrix Match/Column Match Type QuestionsInteger/Numerical Answer Type QuestionsAnswer Keys–Test Your Concepts and Practice Exercises
Hints and Explanations
Chapter 1: Mathematical PhysicsChapter 2: Measurements and General PhysicsChapter 3: VectorsChapter 4: Kinematics IChapter 5: Kinematics IIChapter 6: Newton’s Laws of Motion
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Content preview from JEE Advanced Physics Mechanics I

CHAPTER 2 Measurements and General Physics

Learning Objectives

After reading this chapter, you will be able to understand concepts and problems based on:

(a) Physical Quantity and its Measurement

(b) Fundamental and Derived Units

(d) Principle of Homogeneity and its uses

(e) Limitations of Dimensional Analysis

(f) Least Count, Significant Figures and Rounding off

(g) Errors and their Propagation

(h) Measurements done using Vernier Calliper (VC)

(i) Measurements done using Screw Gauge (SG).

All this is followed by a variety of Exercise Sets (fully solved) which contain questions as per the latest JEE pattern. At the end of Exercise Sets, a collection of problems asked previously in JEE (Main and Advanced) are also given. ...

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JEE Advanced Physics Mechanics I

by Rahul Sardana

CHAPTER 2

Measurements and General Physics

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