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Mathematical Methods-I, Mechanics and Properties of Matter
Course Code:
PHY-CORE-(MJ/MN)-MC-0100104
Click on the topics below to view the questions and answers for this paper:
Part A: Mathematical Methods-I
Unit: 1
Scalar and Vector
View Notes
➔
Unit: 2
Differentiation of Vector and scalar field
View Notes
➔
Unit: 3
Vector Integration
View Notes
➔
Unit: 4
Dirac delta function
View Notes
➔
Part B: Mechanics and Properties of Matter
Unit: 1
Frame of reference, Newton’s laws of motion
View Notes
➔
Unit: 2
Centre of mass, collision and oscillations
View Notes
➔
Unit: 3
Work energy principle & Gravitation
View Notes
➔
Unit: 4
Dynamics of rigid body
View Notes
➔
Unit: 5
Elasticity
View Notes
➔
Unit: 6
Properties of liquid
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Mathematical Methods-I, Mechanics and Properties of Matter
Course Code:
PHY-CORE-(MJ/MN)-MC-0100104
Click on the topics below to view the questions and answers for this paper:
Part A: Mathematical Methods-I
Unit: 1
Scalar and Vector
View Notes
➔
Unit: 2
Differentiation of Vector and scalar field
View Notes
➔
Unit: 3
Vector Integration
View Notes
➔
Unit: 4
Dirac delta function
View Notes
➔
Part B: Mechanics and Properties of Matter
Unit: 1
Frame of reference, Newton’s laws of motion
View Notes
➔
Unit: 2
Centre of mass, collision and oscillations
View Notes
➔
Unit: 3
Work energy principle & Gravitation
View Notes
➔
Unit: 4
Dynamics of rigid body
View Notes
➔
Unit: 5
Elasticity
View Notes
➔
Unit: 6
Properties of liquid
View Notes
➔
Previous Year Question Papers
Download past question papers to test your preparation
Mathematical Methods-I, Mechanics and Properties of Matter
Subject: Physics (Major/Minor) | Semester-I | Total Marks: 100 (ET: 45, INT: 30, PRAC: 25) | Total Credit: 04 (T: 03, P: 01)
Course Code: PHY-CORE-(MJ/MN)-MC-0100104
Part A: Mathematical Methods-I (Credit: 01, Total Lecture=15)
Unit-1: Scalar and Vector
04 Lectures
Revision of scalar and vector, Vector addition and subtractions, Magnitude of a vector, Projection of a vector, Vector product (dot and cross) and their physical significance. Scalar triple Product, Vector triple Product, Physical examples and Problems.
Unit-2: Differentiation of Vector and scalar field
04 Lectures
Scalar and vector field, Divergence, curl and gradient, Laplacian operator.
Unit-3: Vector Integration
05 Lectures
Line integration, Surface integration, Volume integration. Gauss's theorem of divergence, Stokes's theorem.
Unit-4: Dirac delta function
02 Lectures
Properties of dirac delta function, Expression in term of Gaussian and rectangular function, dirac delta function in 3D.
Part B: Mechanics and Properties of Matter (Credit: 02, Total Lecture=30)
Unit-1: Frame of reference, Newton's laws of motion
06 Lectures
Reference frame, Newton's laws of motion and their limitations, Inertial frame and non-inertial frame (Concepts of fictitious forces and applications). Galilean transformations. Rotating frame of reference and their transformation equations.
Unit-2: Centre of mass, collision and oscillations
05 Lectures
Concept of centre of mass, Two body problem into single body problem. Collisions: elastic and inelastic collisions, Oscillations, simple pendulum and compound pendulum (Bar pendulum and Kater's Pendulum).
Unit-3: Work energy principle & Gravitation
04 Lectures
Work-energy principle, Physical examples, Conservation law and conservation forces, Force as a gradient of potential energy, Work done by non-conservative forces, Central force, Kepler's law, Gauss's law in gravity and Poisson's equation for Gravitational field.
Unit-4: Dynamics of rigid body
04 Lectures
Rigid body, Axis of rotation, kinematics in rotational motion, Moment of inertia of different bodies (Rectangular lamina, disc, cylindrical and spherical bodies).
Unit-5: Elasticity
04 Lectures
Behaviour of solid, Stress and strain and their relations (Hooke's law), different elastic constants, Relation between elastic constants, Bending of beam.
Unit-6: Properties of liquid
07 Lectures
Surface properties of liquid, Surface tension, Molecular theory of surface tension, Pressure inside bubble and liquid drop. Viscosity, stream-lined motion, laminar flow, Poiseuille's equation for flow of a liquid through a pipe, Reynolds number, Bernoulli's theorem, Stokes's theorem in liquid.
Mathematical Methods-I, Mechanics and Properties of Matter
Subject: Physics (Major/Minor) | Semester-I | Total Marks: 100 (ET: 45, INT: 30, PRAC: 25) | Total Credit: 04 (T: 03, P: 01)
Course Code: PHY-CORE-(MJ/MN)-MC-0100104
Part A: Mathematical Methods-I (Credit: 01, Total Lecture=15)
Unit-1: Scalar and Vector
04 Lectures
Revision of scalar and vector, Vector addition and subtractions, Magnitude of a vector, Projection of a vector, Vector product (dot and cross) and their physical significance. Scalar triple Product, Vector triple Product, Physical examples and Problems.
Unit-2: Differentiation of Vector and scalar field
04 Lectures
Scalar and vector field, Divergence, curl and gradient, Laplacian operator.
Unit-3: Vector Integration
05 Lectures
Line integration, Surface integration, Volume integration. Gauss's theorem of divergence, Stokes's theorem.
Unit-4: Dirac delta function
02 Lectures
Properties of dirac delta function, Expression in term of Gaussian and rectangular function, dirac delta function in 3D.
Part B: Mechanics and Properties of Matter (Credit: 02, Total Lecture=30)
Unit-1: Frame of reference, Newton's laws of motion
06 Lectures
Reference frame, Newton's laws of motion and their limitations, Inertial frame and non-inertial frame (Concepts of fictitious forces and applications). Galilean transformations. Rotating frame of reference and their transformation equations.
Unit-2: Centre of mass, collision and oscillations
05 Lectures
Concept of centre of mass, Two body problem into single body problem. Collisions: elastic and inelastic collisions, Oscillations, simple pendulum and compound pendulum (Bar pendulum and Kater's Pendulum).
Unit-3: Work energy principle & Gravitation
04 Lectures
Work-energy principle, Physical examples, Conservation law and conservation forces, Force as a gradient of potential energy, Work done by non-conservative forces, Central force, Kepler's law, Gauss's law in gravity and Poisson's equation for Gravitational field.
Unit-4: Dynamics of rigid body
04 Lectures
Rigid body, Axis of rotation, kinematics in rotational motion, Moment of inertia of different bodies (Rectangular lamina, disc, cylindrical and spherical bodies).
Unit-5: Elasticity
04 Lectures
Behaviour of solid, Stress and strain and their relations (Hooke's law), different elastic constants, Relation between elastic constants, Bending of beam.
Unit-6: Properties of liquid
07 Lectures
Surface properties of liquid, Surface tension, Molecular theory of surface tension, Pressure inside bubble and liquid drop. Viscosity, stream-lined motion, laminar flow, Poiseuille's equation for flow of a liquid through a pipe, Reynolds number, Bernoulli's theorem, Stokes's theorem in liquid.
Physics Workshop Skill
Four year undergraduate Programme | Subject: Skill Enhancement Course (SEC) | Semester-I
Course Code: SEC-PHY-MC-0100103
Theory Content
Topic: Introduction
08 Lectures
Measurement unit and their conversion (SI to CGS and vice versa). Familiarization with screw gauge, meter scale, vernier calliper, Spherometer, sextant meter.
Topic: Electrical measurement tools
10 Lectures
Voltmeter, Ammeter, Multi-meter. Galvanometer, conversion of galvanometer to voltmeter and ammeter. Resistance and capacitance, Resistance measurement using multi-meter and Color code.
Topic: Semiconductor devices
10 Lectures
Semiconductor, doping, Fermi level, energy gap, Diode, Zener diode, Solar cell, Transistor, Electrical Measurement.
Topic: Cathode Ray oscilloscope
07 Lectures
Cathode ray, Working principle of CRO and signal analysis.
Practical
Min. 5 Experiments
- To measure the diameter of wire using screw gauge.
- To measure the volume of a cube using vernier calliper.
- To determine the distance between two points using travelling microscope.
- Test equipment and electrical parameters using multi-meter.
- Using CRO, measure frequency and amplitude of electrical signals (Voltage).
- Measure the height of a building using sextant meter.
- Solder two wires or component.
- Identify PNP and NPN transistor using multi-meter.
Physics Workshop Skill
Four year undergraduate Programme | Subject: Skill Enhancement Course (SEC) | Semester-I
Course Code: SEC-PHY-MC-0100103
Theory Content
Topic: Introduction
08 Lectures
Measurement unit and their conversion (SI to CGS and vice versa). Familiarization with screw gauge, meter scale, vernier calliper, Spherometer, sextant meter.
Topic: Electrical measurement tools
10 Lectures
Voltmeter, Ammeter, Multi-meter. Galvanometer, conversion of galvanometer to voltmeter and ammeter. Resistance and capacitance, Resistance measurement using multi-meter and Color code.
Topic: Semiconductor devices
10 Lectures
Semiconductor, doping, Fermi level, energy gap, Diode, Zener diode, Solar cell, Transistor, Electrical Measurement.
Topic: Cathode Ray oscilloscope
07 Lectures
Cathode ray, Working principle of CRO and signal analysis.
Practical
Min. 5 Experiments
- To measure the diameter of wire using screw gauge.
- To measure the volume of a cube using vernier calliper.
- To determine the distance between two points using travelling microscope.
- Test equipment and electrical parameters using multi-meter.
- Using CRO, measure frequency and amplitude of electrical signals (Voltage).
- Measure the height of a building using sextant meter.
- Solder two wires or component.
- Identify PNP and NPN transistor using multi-meter.