NDSS Academy

Mathematical Physics and Newtonian Mechanics (B.Sc Physics)

Vector calculus, coordinate systems, Newtonian mechanics of particles and rigid bodies, gravitation and oscillations.

6 महीनेअवधि 6Chapters30टॉपिक
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01Unit 1: Vector Algebra and Vector Calculus 5 टॉपिक
  1. Contributions of Indian physicists (C.V. Raman, S.N. Bose, Meghnad Saha) and ancient Indian science
  2. Scalar and vector products, triple products
  3. Scalar and vector fields
  4. Gradient, divergence and curl and their physical meaning
  5. Vector identities
02Unit 2: Vector Integration and Coordinate Systems 5 टॉपिक
  1. Line, surface and volume integrals
  2. Gauss divergence theorem
  3. Stokes' theorem and Green's theorem
  4. Cartesian, spherical polar and cylindrical coordinates
  5. Line, area and volume elements
03Unit 3: Newtonian Mechanics of Particles 5 टॉपिक
  1. Inertial and non-inertial frames; pseudo forces
  2. Coriolis and centrifugal forces
  3. Conservation of momentum and energy
  4. Elastic and inelastic collisions
  5. System of particles and centre of mass
04Unit 4: Rotational Dynamics 5 टॉपिक
  1. Angular momentum and torque
  2. Moment of inertia; parallel and perpendicular axes theorems
  3. MI of rod, ring, disc, cylinder and sphere
  4. Rolling motion
  5. Kinetic energy of rotation
05Unit 5: Gravitation and Central Forces 5 टॉपिक
  1. Newton's law of gravitation
  2. Gravitational field and potential
  3. Escape velocity and satellites
  4. Kepler's laws
  5. Motion under central forces
06Unit 6: Oscillations and Elasticity 5 टॉपिक
  1. Simple harmonic motion
  2. Damped and forced oscillations; resonance
  3. Compound pendulum
  4. Elastic constants Y, K, eta and Poisson's ratio
  5. Relations between elastic constants

परिचय

आप यह कर पाएँगे

  • Use vector algebra and gradient, divergence and curl in physics problems
  • Apply Gauss and Stokes theorems and use spherical and cylindrical coordinates
  • Solve problems in inertial and non-inertial frames, collisions and centre of mass
  • Calculate moments of inertia and solve rolling motion problems
  • Apply gravitation and Kepler's laws to orbits and satellites
  • Analyse simple, damped and forced oscillations and elastic constants

यह किसके लिए है

  • B.Sc students with Physics, Semester 1 (UP state universities, NEP 2020)
  • Students preparing for university semester exams and entrance tests such as IIT-JAM / CUET-PG (basic level)

आपको क्या चाहिए

  • Enrolled in B.Sc with Physics as a major subject
  • Class 12 Physics and Mathematics
  • Scientific calculator

सवाल

Which syllabus does this course follow?

It follows the UP State Universities NEP 2020 common minimum syllabus for B.Sc. Where your own university's syllabus differs, the centre teaches your university's units and papers.

Are numericals practised?

Yes. Every unit has solved examples and practice numericals at university exam level.

Is the 'Indian contribution' part asked in exams?

UP NEP syllabi include it; short questions on Raman, Bose and Saha are covered.

Download the syllabus (PDF)

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