This textbook has been designed to meet the needs of B.Sc. First Semester students of Physics as per Common Minimum Syllabus prescribed for Patna University and other Universities and Colleges under the recommended National Education Policy 2020 in Bihar. The book comprises of Four Units. Unit I start with Differential Calculus which covers Geometric Meaning of Derivative, Maxima and Minima, Approximation of Derivative, Partial Differentiation, Approximation using Taylor and Binomial Series followed by Integral Calculus which covers Solution of First and Second Order Differential Equations, Fundamentals of Integral Calculus. Unit II covers Concept of Scalar and Vector Fields, Gradient of Scalar, Divergence and Curl of Vectors and their physical applications in physics such as Equation of Continuity, Euler's equation of Motion, Bernoulli's Theorem etc. Unit III: Fundamentals of Dynamics explains Inertial and Non-Inertial Frame of Reference, Rotating Frame of Reference, Centrifugal and Coriolis Forces with their applications. Unit IV covers important topics such as Centre of Mass Frame, Two Dimensional Collisions in Physical Problems, Relation Connecting Scattering Angle, Recoil Angle and Final Velocities, Rutherford Scattering, the Central Forces and their equations, Kepler's Laws of Planetary Motion and Satellites are explained thoroughly. Short and Long Questions are incorporated at the end of each chapter to build confidence in every student for theory examination.
The practical part contains experiments on Measurements & Random errors, Dynamics of system of particles, Elastic constants, Acceleration due to gravity and Viscosity. Oral questions are incorporated at the end of each experiment which are usually asked in Practical examination.
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