# UNIT -1 PHYSICS FOR IIT-JEE 2021 PHYSICS FOR IITJEE 2021
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##### UNIT1:-
TOPIC COVERED  IN THIS  UNIT:
Basic Mathematics used in Physics,
Vectors,
Units,  Dimensions and Measurement,
Electrostatics

DATE OF UNIT TEST:- 02/08/2020

• ##### Unit-1: BASIC MATHEMATICS USED IN PHYSICS

Unit-1: BASIC MATHEMATICS USED IN PHYSICS ALGEBRA : Quadratic Equation ( Roots of quadratic equation, Solution by Factorization and by Shridharacharya Formula, Properties of roots (real, equal, imaginary etc), Application of Quadratic equation in physics), Binomial Theorem and binomial approximation, Logarithm and Exponents ( Laws of logarithms and exponents with applications / examples), Series ( Arithmetic Progression and its general term and Sum, Sum of 􀃶rst n Natural numbers, Geometrical Progression and its general term and Sum, Sum of in􀃶nite GP ), Componendo & Dividendo rule. TRIGONOMETRY : Angle & its measurement (Sexagesimal and Circular system) , Trigonometricratios, Trigonometric identities , Four Quadrants & A S T C r u l e , T- r a t i o s f o r g e n e r a l a n g l e s , Addition/subtraction Formulae , Small angle Approximation, Ranges of T-functions. CO-ORDINATE GEOMETRY : De􀃶ne Origin, Axis or Axes, Co-ordinates of a point in a plane or space (2D or 3D), Distance Formula, Slope of a line and its interpretation, Graphs of commonly used functions (Straight line, Parabola, Circle, Ellipse , Hyperbola including rectangular hyperbola , Sinusoidal functions (sine and cosine functions), Exponential functions. CALCULUS: Differential calculus ( Average rate of change and Instantaneous rate of change, Differentiation of commonly used functions, Rules of differentiation including Product and Quotient rules, Application of derivatives: Increasing and Decreasing nature, Maxima and Minima with geometrical / graphical explanation ), Integral calculus ( Integration is the reverse process of differentiation, Inde􀃶nite and De􀃶nite Integration, Integration of commonly used functions, Rules of Integration, Application of Integral calculus: Area under a curve and Average value of a continuous function in an interval ).

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• ##### VECTORS

De􀃶nition of scalar and vector quantities, Graphical representation of vectors, Notation of Vectors, Angle between two vectors , Types of Vectors ( Unit vector, Null vector, Equal vectors and equality of vectors, opposite and Negative of a vector, Parallel and antiparallel vectors, Co-planar vectors, axial vectors) ,P o s i t i o n a n d d i s p l a c e m e n t v e c t o r s , Addition/subtraction of two vectors ( Triangle law, Parallelogram law ), Addition of many vectors (Polygon law ),Unit vectors and their signi􀃶cance (Representation of vector in terms of unit vector in plane and in space ) , Resolution of a Vector into components i.e. Cartesian Components in two and t h re e d ime n s i o n s a n d D i re c t i o n Co s i n e s , Multiplication or Division of a Vector by a Scalar (i.e. Real number) ,Scalar (Dot) product of two Vectors and component of a vector in the direction of another vector , Vector (Cross) product of two Vectors with its geometrical interpretation and Right hand rule for direction.

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• ##### UNIT, DIMENSIONS AND MEASUREMENTS

Classification of Physical Quantities according to their dependency i.e. Fundamental (or Base) and Derived quantities , Need for measurement ( Units of measurement ) , Systems of units ( FPS, CGS, MKS, SI system of units and Supplementar y units, fundamental and derived units , Some idea about Practical and Improper units) , Standards of Length, mass and time measurements, Dimensions of physical quantities, Dimensional Formulae of important physical quantities, Dimensional analysis and its applications & its limitations, SI pre􀃶xes and general guidelines for using Symbols of SI units , Errors in measurement ( Systematic, Random and Least count Errors) , Accuracy and precision of measuring instruments ; Absolute Error, Relative Error, Percentage Error and Combination of Errors , Signi􀃶cant 􀃶gures and its rules for Arithmetic operations ( i.e. addition, subtraction, multiplication and division) ,Rounding off the uncertain digits.

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• ##### ELECTROSTATICS

Electric charges and their basic properties, Conductors and Insulators, Method of charging: Charging by Friction, Charging by Induction and Charging by Conduction, Gold-leaf Electroscope, Coulomb's law-force, between two point charges, force, between multiple charges and Superposition principle, Equilibrium of charge systems and SHM, Electric 􀃶eld Intensity, electric 􀃶eld due to a point charge and a system of charges. Electric 􀃶eld due to an arc, Electric 􀃶eld on an axial point of Ring, Electric 􀃶eld lines and their properties, Electric 􀃸ux, statement of Gauss's theorem and its applications to 􀃶nd 􀃶eld due to [In􀃶nitely long straight wire, Uniformly charged infinite plane sheet, Uniformly charged thin spherical shell (field inside and outside)], Electric potential, Potential difference, Electric potential due to( A point charge, A system of charges, Ring(on an axial point),Conducting and non conducting sphere),Electrical potential energy of a system of two/more than two point charges, Equipotential surfaces, Relation between Field and Potential, Motion of charged particle in Electric Field, Electric dipole and dipole moment(Electric Potential due to a dipole, Electric 􀃶eld due to a dipole, Torque on a dipole in a uniform electric 􀃶eld, Electrical potential energy of electric diploes in an electrostatic 􀃶eld, Work done in rotating a dipole)

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₹699.00 ₹599.00