MJC PHY B.Sc SEM-1

Majour Course (MJC-1)

Indroduction to Mathematical Physics &  Classical Mehcanics

MJC-1(T)-4 Credit

Unit 1-Concept of Differentiation & Integration                                  01 Credit (15 hrs)

Differential calculus: Geometric Meaning of derivative; Maxima & Minima: Approximation of derivative, Partial Differentiation, Approximation using Taylor and Binomial series.

Integral Calculus: Geometric Meaning of integration, order and degree of differential equation, Solution of First order (homogeneous & Non- homogeneous), Integrating Factor, Exact and Inexact Differentials, D-operator & Solution of Second order Differential Equation.

Unit II-Vector Algebra & Vector Calculus                                           01 Credit (15 hrs.)

Vector Triple Products & their significance; concept of seatar & vector fields, Gradient of scalar. Divergence & Curl of vectors and their physical applications in Physics (eg. Equation of continuity, Euler’s equation of motion, Bernoulli’s theorem, Fourier heat flow, Poisson’s and Laplace’s equation in a gravitational field, Gauss’s law of in Electrostatic, etc.)

Unit III-Fundamentals of Dynamics                                        01 Credit (15 hrs.)

Inertial and Non-Inertial Frame of Reference, Rotating frame of Reference. Centrifugal and Coriolis Forces with their applications (Effect on value of ‘g’. On path of freely falling body, Geo-physical effect), Foucault pendulum. Direct proof of rotation of Earth.

Unit IV-Centre of Mass Frame and Central Forces                           01 Credit (15 hrs.)

Lab frame & Centre of Mass frame, Two dimensional collision in physical problems. Relation connecting Scattering angle, Recoil angle, final velocities in C-frame & L-frame. Cross section & Rutherford scattering, Central forces and their equations. General Equation of central orbit. Kepler’s law of Planetary motion, Artificial satellite.

MJC-1 (PRACTICAL)-2 Credit

At least 6 experiments must be performed-

1. Elementary measuring apparatous – Use of vernier calliper, Screw guage and Spherometer.
2. To determine least Count of (i) Travelling Microscope (ii) Spectrometer (iii) Polarizer.
3. To Evaluate value of “g” using Bar Pendulum.
4. To Evaluate value of “g” using Kater’s Pendulum
5. To verify Conservation of linear Momentum using curved track apparat
6. To Determine Young’s modulus of Elasticity by Flexure of Beam
7. To Determine Elastic constants for the material of a wire by Scarle’s method.
8. To Determine Surface Tension by method of ripples/ase of Capillary rube
9. To Determine Co-efficient of Viscosity of liquid by Stokes method! Poiseuille’s method of flow of water through Capillary
10. To study the motion of spring-mass system and to evaluates spring constant/value of
11. To evaluate average error, standard deviation, and percentage error in measurement of focal length of a concave mirror/Convex less.

The CIA examination in Practical should be just as Mock test and it must be on the Pattern of proper 3hrs End-semester Examination.

                                                                                                            Total = 100 Marks

Ranjeet Kumar Pathak

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धन्यवाद
Ranjeet Kumar Pathak
( B.Sc Physics V.K.S. University )