Lakshmikanta Satapathy

l k satapathy jee math jee physics geometry 3d direct current lakshmikanta satapathy indefinite integrals probability cbse physics electrostatics kinematics 2d geometry trigonometric functions simple harmonic oscillations application of derivative lines in space resistance differential equation laws of motion the plane definite integrals uniformly accelerated motion wave motion method of substitution integration by parts questions and answers alternating current parabola ray optics equation of plane magnetic field image of point integration by substitution tan inverse binomial theorem inverse trigonometric functions limit of function permutation combination accelaration algebra capacitance spring block system gravitation electric potential electric field capacitor rigid body rotation dimensions projectile motion particular solution tension in strings circle resistances in series line and plane direction ratios potential difference functions reducible to standard form integration mutually exclusive events sine inverse cos inverse exponential functions logarithmic functions pulley block modern physics phase difference electromagnetism average velocity sequence and series closed pipe thermodynamics thermodynamic process tangent and normal relative velocity trigonometric equations work energy power set maximum value of function homogeneous differential equation properties of definite integrals amplitude electric power ellipse cells in parallel magnification cbse board question straight lines length of perpendicular angular momentum rotational motion nuclear physics limit of a sum bernoulli trials probability distribution bayes' theorm total probability resistance cube integration formula multiplication theorem of probability independent events axiomatic approach direction cosines of vector resultant magnitude resultant direction perpendicular lines angle between lines parallel lines trigonometric ratios coulomb's law hydrogen atom geometrical optics hydroststics properties of matter moment of inertia series lcr circuit lorentz force quadratic equation roots of quadratic equation capacitors ammeter peak value of ac complex number vector components reflection refraction open pipe escape speed orbital speed atomic physics photoelectric effect relative distance voltage inelastic collision retardation subset power set minimum value of function dimensional consistancy internal resistance units centripetal force rough inclined plane power energy height and distance shm boundary conditions equilibrium of forces first derivative increasing functions decreasing functions current density resitances in parallel heating effect tangent to ellipse heating coils in parallel heating coils in series doppler effect friction convex lens apparent depth real depth distance between parallel lines magnetism rate measurer wave optics potentiometer binomial distribution of probability mean variance partial fractions addition theorem of probability conditional probability intgral calculus complementary events exhaustive events occurrence of events tossing of coins random experiment rolling of two dice sample space of random experiment perpendicular vectors addition of vectors collinear vectors parallel vectors mathematics binomial coefficients limits by rationalization limits by substitution polynomial functions area of triangle slope of join of points trigonometry work energy theorem wheatstone bridge cells in series charging of cell carbon resistor electric current drift velocity emf of cell direct current qa sperical surface plane sheet of charge gauss theorem applications of coulomb's law frictional electricity angular speed conical pendulum intensity and loudness of sound transmitted waves reflected waves advanced theory beats resonance tube end correction air columns nodes and antinodes stationary waves reflection of waves superposition of waves intensity of wave speed of sound condition for wave function wave function wave theory indeterminate (0/0) form change of variable fractional loss of energy collision of nucleus isobaric process adiabatic process isochoric process displacement vectors viscous fluid terminal velocity formation of quadratic equation cube root of unity & probability heavier electron letters of a word stefans law wiens law black body radiation transient current lr circuit electric dipole potential of mercury drops range of ammeter coefficient of a given power of x breaking stress floatation fixed object and image ionisation plano-convex lens torque fluid pressure fluid thrust capacitors in parallel capacitors in series arithmetic progression sum of given number of terms queue problem half power band width resonance in ac circuit rolling bodies conservation of energy members of a team moment of inertia of cube four digit numbers phase difference between current and voltage lcr circuit overtaking mcq one or more correct linear differential equation force on bullet impulse maximum volume of tank normal to plane inductance single circuit element number of words formed half amplitude relative distance in shm amplitude of shm throwing of dice accelerating potential vertices of rhombus resistors gravitational force discharging current function of two variables plancks constant cartesian form parameter parametric form dielectric total energy in shm modulus of complex number rms valueof ac correctness of equation deriving equation from dimension horizontal projectile resistance of wire galvanometer half life radioactivity mean value of ac purely imaginary highest point of path sum of series angle with horizontal time of flight quasistatic process ideal gas equation first law of thermodynamics volume charge density sum of coefficients right angled prism total internal reflection image river and boat problem shortest distance shortest time geometric mean arithmetic mean motion of balloon upthrust circle and square young's moduls simple pendulum harmonics in closed pipe force of friction motion in a plane multiple angles lens mirror system range domain of relation relation equivalence relation equivalence class cartesian product time period planetary motion fundamental frequency organ pipes function maximum temperature complement of set intersection of sets union of sets cardinality of set difference of sets domain of functions even functions sharing of charge points of maximum potential energy kinetic energy extreme value of function circular coil square coil simultaneous equations loss of energy one dimensional motion point charge integers real number rational numbers natural numbers block pulley resistsnces in parallel resistances in parallel current distribution kirchhoff's rules electric bulb closed interval rolling motion motion under gravity emf terminal potential difference error in measurement slide callipers. magnetic force force on charged paricle motion of charged particle intervals stretched string speed of wave conservation of momentum work rough horizontal plane speed properties of triangles gain of time pendulum clock loss of time temperature change rectangular components differential calculus separation of variable chord of contact slope of tangent colour code distance formula relaxation time mobility ampere resistivity ohm eccentricity locus of a point advanced question frequency of sound wave pitch of note sound image of line oppositely connected cells motion of blocks focal length plane mirror distance of point from plane angle between planes coplanarity of lines intercept form normal form three point form rectangular coil one point normal form interference of light position of momima `shortest distance between skew lines earth's magnetic field magnetic dip magnetic needle point of intersection ring sphere pure rolling disc equation of straight line mass defect beta decay of nucleus excitation energy central maximum diffraction spring oecillations restoring force concepts null point reverse probability random variable expectation board paper questions face diagonal integral calculus integration by rationalization anti-derivative properties of conditional probability pack of cards colored marbles union of events intersection of events axioms of probability physics helpline algebra of events joint entrance examination simple event event impossible event compound event certain event rolling of dice tabulation method outcome of random experiment sample points tossing of two coins vector product orthogonal unit vectors lamis theorem resultant by scalar product illustration on scalar product properties of scalar product scalar product unit vector components of vector scalars null vector co-planar vectors vectors integral powers of x values of trigonometric functions positive value of trigonometric function negative value og trigonometric function difference of inverse functions sum of inverse functions equilibrium moment of force beam in balance acceleration time graph type of motion velocity time graphs physics position time graph slope of graph middle terms genral term domain of inverse functions properties of inverse functions range of inverse functions reasoning mathematical induction illustrations greatest integer function length of normal two point y intercept x intercept coordinates of section point distance between points identities_multiple angles identities_compound angles values for known angles