Your roadmap · आपका रोडमैप
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Admission & first meetingप्रवेश और पहली मुलाकातEnquire at your nearest NDSS centre, meet the teacher, fix the batch time and get your study material.
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Part 1 of the syllabusपाठ्यक्रम भाग 1Unit-wise coaching with notes and doubt classes.
Unit 1: Constraints and Lagrangian FormulationUnit 2: Hamiltonian FormulationUnit 3: Central Force Motion
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Part 2 of the syllabusपाठ्यक्रम भाग 2Unit-wise coaching with notes and doubt classes.
Unit 4: Basics of Statistical MechanicsUnit 5: Maxwell-Boltzmann StatisticsUnit 6: Quantum Statistics
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Unit tests & assignmentsयूनिट टेस्टRegular tests in the university / board pattern.
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Semester 5 exam (university / board)विश्वविद्यालय / बोर्ड परीक्षाPrevious papers and full revision before the exam.
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Online tests & resultऑनलाइन टेस्ट और रिज़ल्टTake the tests online; your marks and result show in your student login and at the centre.
Syllabus · पाठ्यक्रम
1 subject · 6 chapters · 27 topics
01Unit 1: Constraints and Lagrangian Formulation
5 topics+
- Constraints: holonomic and non-holonomic
- Degrees of freedom and generalised coordinates
- D'Alembert's principle
- Lagrange's equations
- Applications: simple pendulum, Atwood's machine
02Unit 2: Hamiltonian Formulation
4 topics+
- Hamilton's principle and calculus of variations
- Hamiltonian and Hamilton's equations
- Cyclic coordinates and conservation laws
- Poisson brackets
03Unit 3: Central Force Motion
4 topics+
- Reduction of the two-body problem; reduced mass
- Effective potential
- Equation of the orbit
- Kepler problem
04Unit 4: Basics of Statistical Mechanics
5 topics+
- Macrostates and microstates
- Phase space
- Thermodynamic probability
- Entropy and probability: S = k ln W
- Ensembles
05Unit 5: Maxwell-Boltzmann Statistics
4 topics+
- MB distribution law
- Partition function
- Ideal gas and equipartition
- Limitations of classical statistics
06Unit 6: Quantum Statistics
5 topics+
- Bose-Einstein statistics
- Photon gas and Planck's law
- Fermi-Dirac statistics
- Free electron gas and Fermi energy
- Comparison of MB, BE and FD statistics
About this course
You will be able to
- Identify constraints and choose generalised coordinates
- Set up and solve Lagrange's and Hamilton's equations for simple systems
- Solve the two-body central force problem using reduced mass
- Count microstates and relate entropy to probability
- Apply MB, BE and FD statistics to gases, photons and electrons
Who it is for
- B.Sc students with Physics, Semester 5 (UP state universities, NEP 2020)
- Students preparing for university semester exams and entrance tests such as IIT-JAM / CUET-PG (basic level)
What you need
- Enrolled in B.Sc with Physics as a major subject
- Class 12 Physics and Mathematics
- Scientific calculator
- Mechanics (Semester 1) and thermal physics (Semester 2)
Online tests & result
Practice and unit tests online; marks and result show in your student login and at the centre.
Student login →
Questions
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 Lagrangian part hard?
It becomes easy with practice; the trainer solves the standard problems (pendulum, Atwood machine, bead on wire) step by step.
