Course In Physics 1 - Mechanics I

Cover
Mechanics I (Volume 1 )
	Copyright
CONTENTS
PREFACE
	Salient Features
GENERAL PHYSICS
	PHYSICAL QUANTITY
		Need of Measurement
			How to measure a physical quantity
			Types of physical quantities
	FUNDAMENTAL QUANTITIES
	DERIVED QUANTITIES
		Fundamental and Derived Units
	SYSTEMS OF UNITS
		SI Prefixes
	STANDARD UNIT
		Characteristics of a Standard Unit
		Standard of Length
		Standard of Mass
		Standard of Time
	PRACTICAL UNITS OF LENGTH
		Practical Units of Mass
			Practical Units of Time
	DIMENSIONS OF A PHYSICAL QUANTITY
		Preliminary Discussions About Some Common Derived Quantities in Mechanics
	APPLICATIONS OF DIMENSIONAL ANALYSIS
	ERRORS IN MEASUREMENT
		Propagation of Error
	MEASUREMENT OF LENGTH
		Vernier Callipers
		Principle of Vernier Scale
			Determination of the value of vernier constant
	ZERO ERROR: POSITIVE OR NEGATIVE
		Positive Zero Error
			Calculation and correction of the positive zero error
		Negative Zero Error
			Calculation and correction of the negative zero error
	SCREW GAUGE
		Pitch
			Determination of the pitch of screw gauge
		Least Count
	MEASUREMENT OF LENGTH
	THE SPHEROMETER
		Construction
		Zero Error
		Positive and Negative Zero Error
		Measurement of a Small Thickness
		False Physical Balance
		Determination of Specific Heat of a Solid
			Method of mixture
		Expansion of Liquids
		Measurement of Coefficient of Apparent Expansion
			1. The dilatometer method
			2. The weight thermometer method
		Measurement of Coefficient of Real Expansion
			Dulong and Petit’s u-Tube method
		Errors in Measurement due to Expansion of Liquids
			Measurement of pressure by mercury barometer
		Measurement of Conductivity of Metals
			Searle’s apparatus
		Measurement of Conductivity of Non-Metals
		Lee’s Disc Method
		Kundt’s Dust Tube
		Important Applications of Kundt’s Tube
	ELECTRICAL INSTRUMENTS
		Introduction
		Galvanometer
			Moving coil galvanometer
		Sensitivity of Galvanometer
		Current Sensitivity
		How to Improve the Current Sensitivity of a Galvanometer?
		Voltage Sensitivity
			Important
			Compare
		The Most Sensitive Galvanometer
			Important
		Measurement of Sensitivity
	BALLISTIC GALVANOMETER
	REVIEW QUESTIONS (R1)
	AMMETER
		Voltmeter
	POTENTIOMETER
		Introduction
			Checking of connections
		Reading of a Potentiometer
		Comparison of EMF’s of Two Cells
			Measurement of internal resistance of a cell
	MEASUREMENT OF REFRACTIVE INDEX OF A LIQUID BY A CONVEX LENS
		Young’s Double Slit Experiment
		Explanation of Interference in Young’s Experiment
		Location of Fringes on the Screen
		Fringe Width
		Intensity Distribution on the Screen
		Important Points About Young’s Experiment
			To draw characteristics curves of p-n junctions diode in forward and reverse bias
		Theory
		Precautions
			To plot the characteristics of a Zener diode. Apparatus required
		Circuit Connections
		Procedure
		Observations
		Result
		Precautions
		Theory
		Formula Used
		Observations
		Precautions
			Sources of error
	SURFACE TENSION
		Properties of surface tension
		Surface Energy
		Excess Pressure
		Angle of Contact
		Capillarity
		Viscosity
		Stokes Law and Terminal Velocity
	MILTIPLE CHOICE QUESTIONS
	PRACTICE EXERCISE 1
	PRACTICE EXERCISE 2
	PRACTICE EXERCISE 3
	SOLVED OBJECTIVE TYPE QUESTIONS
	PRACTICE EXERCISE 4
PARTICLE KINEMATICS
	MOTION AND REST
	RECTILINEAR MOTION
		Position
		Displacement
		Distance
		Average Velocity (in an Interval)
		Average Speed (in an Interval)
		Average Acceleration (in an Interval)
		Instantaneous Velocity (at an Instant)
		Instantaneous Acceleration (at an Instant)
	GRAPHICAL INTERPRETATION OF SOME QUANTITIES
		Average Velocity
		Instantaneous Velocity
		Instantaneous Acceleration
	MOTION WITH UNIFORM VELOCITY
	UNIFORMLY ACCELERATED MOTION
	DIRECTIONS OF VECTORS IN STRAIGHT LINE MOTION
	REACTION TIME
	STRAIGHT LINE-EQUATION, GRAPH, SLOPE (+VE, –VE ZERO SLOPE)
	PARABOLIC CURVE-EQUATION, GRAPH (VARIOUS SITUATIONS UP, DOWN, LEFT, RIGHT WITH CONDITIONS)
		Equation of parabola
	GRAPHS IN UNIFORMLY ACCELERATED MOTION (A ≠ 0)
	INTERPRETATION OF SOME MORE GRAPHS
		Position vs Time Graph
		Velocity vs Time Graph
		Acceleration vs Time Graph
	DISPLACMENT FROM V–T GRAPH AND CHANGE IN VELOCITY FROM A–T GRAPH
		Important points to remember
	MOTION WITH NON-UNIFORM ACCELERATION  (USE OF DEFINITE INTEGRALS)
		Solving Problems Which Involves Nonuniform Acceleration
	PROJECTILE MOTION
	BASIC CONCEPT
		Projectile
		Trajectory
			Assumptions of projectile motion
		Projectile Motion
			Galileo statement
	PROJECTILE THROWN AT AN ANGLE WITH HORIZONTAL
		Time of Flight
		Horizontal Range
		Maximum Height
		Resultant Velocity
		General Result
	TRAJECTORY EQUATION
	PROJECTILE THROWN PARALLEL TO THE HORIZONTAL
		Trajectory Equation
		Velocity at a General Point P(xfy)
		Displacement
		Time of Flight
		Horizontal Range
		Velocity at Vertical Depth H
	PROJECTILE FROM A TOWER
	PROJECTION FROM A MOVING BODY
	PROJECTION ON AN INCLINED PLANE
		Time of flight (T)
		Maximum height (H)
		Range along the inclined plane (R)
		Time of flight (T)
		Maximum height (H)
		Range along the inclined plane (R)
		Elastic collision of a projectile with a wall
	RELATIVE MOTION
		Reference frame
		Relative velocity
		Relative motion along straight line
		Relative motion in lift
		Relative motion in two dimension
		Motion of a train moving on equator
		Relative motion on a moving train
		Relative motion in river flow
		Crossing river
		Rain problems
		Wind airplane
		Condition to collide or to reach at the same point
	WORKED OUT EXAMPLES
	SOLVED OBJECTIVE TYPE QUESTIONS
	UNSOLVED OBJECTIVE TYPE QUESTIONS
	PRACTICE EXERCISE 1
	QUESTION BANK
		Conceptual Questions
		Only One Option is Correct
		One or More Than One Choice May be Correct
		Assertion and Reason Questions
		Match the Coloum Type Questions
		Passage Based Questions
		Subjective Questions
		Previous Years' IIT-JEE Questions
	HINTS AND SOLUTIONS
		Match the Coloum Type Questions
		Previous Years' IIT-JEE Questions
DYNAMICS OF A PARTICLE
	LAWS OF MOTION
		Newton’s First Law of Motion
		Newton’s Second Law of Motion
	NEWTON’S FORMULA FOR VARIABLE MASS SYSTEM
	NEWTON’S THIRD LAW OF MOTION
	FORCE
	GRAVITATIONAL FORCE
	ELECTRICAL FORCE
	FORCE EXERTED BY THE STRING
	FRICTION
		Normal Reaction
		Static Friction Force
		Kinetic Friction
	KINEMATICAL EQUATION OF DEPENDENT MOTION
	CONCEPT OF VIRTUAL WORK
	HOW TO SOLVE A PROBLEM (FOR THE CONSTANT MASS)?
	PSEUDO FORCE
	WORKED OUT EXAMPLES
	SOLVED OBJECTIVE TYPE QUESTIONS
	UNSOLVED OBJECTIVE TYPE QUESTIONS
	PRACTICE EXERCISE 1
	UNSOLVED OBJECTIVE TYPE QUESTIONS
	QUESTION BANK
		Conceptual Questions
		Only One Option is Correct
		One or More Than One Choice May be Correct
		Assertion and Reason Questions
		Match the Coloum Type Questions
		Passage Based Questions
		Subjective Questions
		Previous Years' IIT-JEE Questions
	HINTS AND SOLUTIONS
		Match the Coloum Type Questions
		Previous Years' IIT-JEE Questions
CIRCULAR MOTION
	UNIFORM CIRCULAR MOTION
	TIME PERIOD OF REVOLUTION (T)
	NON-UNIFORM CIRCULAR MOTION
		Radial and Transverse Acceleration
	NORMAL AND TANGENTIAL ACCELERATION
		The Special Case
	DYNAMICS OF CIRCULAR MOTION
	CIRCULAR TURNINGS AND BANKING OF ROADS
	WORKED OUT EXAMPLES
	SOLVED OBJECTIVE TYPE QUESTIONS
	UNSOLVED OBJECTIVE TYPE QUESTIONS
	PRACTICE EXERCISE 1
	QUESTION BANK
		Only One Option is Correct
		One or More Than One Choice May be Correct
		Assertion and Reason Questions
		Match the Coloum Type Questions
		Previous Years' IIT-JEE Questions
	HINTS AND SOLUTIONS
		Match the Coloum Type Questions
		Previous Years' IIT-JEE Questions
ENERGY AND MOMENTUM
	WORK
	WORK ENERGY THEOREM
	POWER
		Instantaneous Power
		Average Power
	FIELD OF A FORCE
	POTENTIAL ENERGY OF A SYSTEM
		Internal Energy
	MOTION IN A VERTICAL PLANE
	BRIEF ANALYSIS OF MOTION IN A VERTICAL CIRCLE
	CENTRE OF MASS
	CENTRE OF MASS
		Centre of Mass of a System of ‘N’ Discrete Particles
			Position of Com of two particles
			Centre of mass of a continuous mass distribution
			Centre of mass of a uniform rod
			Centre of mass of a semicircular ring
			Centre of mass of semicircular disc
			Centre of mass of a solid hemisphere
			Centre of mass of a hollow hemisphere
			Centre of mass of a solid cone
		Centre of Mass of Some Common Systems
			Motion of centre of mass and conservation of momentum
			Acceleration of centre of mass of system
		Motion of COM in a Moving System of Particles
			(1) COM at rest
			(2) COM moving with uniform velocity
			(3) COM moving with acceleration
		Momentum Conservation
		Impulse
		Instantaneous Impulse
		Important Points
		Impulsive Force
		Important Points
		For This Example
		Collision or Impact
		The Collision is Infact a Redistribution of Total Momentum of the Particles
		Line of Impact
			Classification of collisions
		Examples of Line of Impact and Collisions 
Based on Line of Impact
		Coefficient of Restitution (e)
		Example for Calculation of (e)
		Impulse of Deformation
		Impulse of Reformation
			Important point
			Collision in one dimension (head on)
			Special case
		Collision in Two Dimension (Oblique)
	WORKED OUT EXAMPLES
	SOLVED OBJECTIVE TYPE QUESTIONS
	UNSOLVED OBJECTIVE TYPE QUESTIONS
	PRACTICE EXERCISE 1
	PRACTICE EXERCISE 2
		Comprehensions
	PRACTICE EXERCISE 3
	QUESTION BANK
		Conceptual Questions
		Only one Option is Correct
		One or More Than One Choice May be Correct
		Assertion and Reason Questions
		Match the Coloum Type Questions
		Passage Based Questions
		Subjective Questions
		Previous Years' IIT-JEE Questions