Prac/Lab - GCET, Jammu

FOR EXAMINATIONS TO BE HELD IN DECEMBER, 2010 ONWARDS
UNIVERSITY OF JAMMU, JAMMU.
COURSE OF STUDY FOR BE IST SEMESTER ENGINEERING
BRANCH: COMMON TO ALL BRANCHES |Course |Course Name |Lectu|Tutori|Pract.|Marks |
|No. | |re |al | | |
| | | | |
|3 |2 |0 |Theory|Sessiona|Practica|
| | | | |l |l |
| | | |100 |25 |0 |
SECTION-A
1. Differential Calculus: Successive differentiation, Leibnitz theorem
(without proof), Partial differentiation with errors and
approximations, Eular's theorem on homogeneous functions, Taylor's
and Maclaurin's series of two variables, Maxima and Minima of
functions of two variables, Asymptotes, Double points, curvature,
Curve tracing in Cartesian, polar and parametric forms.
2. Integral Calculus:- Definite integrals with important properties,
differentiation under the integral sign, Gamma, Beta and error
functions with simple problems, applications of definite integrals
to find length, area, volume and surface area of revolutions,
transformation of coordinates, double and triple integrals with
simple problems. SECTION-B 1. Complex Trignometry: Hyperbolic functions of a complex variable,
Inverse Hyperbolic functions, Logarthmic function of a complex
variable, Summation of series by C+ iS method.
2. Ordinary Differential Equations: Differential equations of first
order and first degree: Exact and non-exact differential equations,
Linear and Bernoulli's differential equations. Higher order linear
differential equations: Complementary solution, particular integral
and general solution of these equations, variation of parameters
technique to find particular integral of second order differential
equations, Cauchy's and Lagrange's differential equations.
Applications of Ordinary Differential Equations to simple
Electrical and Mechanical Engg. problems.
3. Solid Geometry: Sphere, Intersection of sphere and plane, tangent
plane property, cone and cylinder, related problems to right
circular cone and cylinder. Books Recommended 1. Engineering Mathematics by B.S. Grewal, Khanna Publications, New Delhi
2. Calculus and Analytic Geometry by Thomas and Finney, Addision Weslay,
Narosa.
3. Differential Calculus by S. Narayan, New Delhi
4. Integral Calculus by S. Narayan, New Delhi. Note: There shall be total eight questions, four from each section. Each
question carry 20 marks. Five questions will have to be attempted,
selecting atleast two from each section. Use of calculator is allowed.
UNIVERSITY OF JAMMU FOR EXAMINATIONS TO BE HELD IN DECEMBER 2010 ONWARDS |B.E Ist Semester (Common | | | |Maximum Marks:125 |
|Course) | | | | |
|Subject: Engineering Physics-I |L |T |P |Theory |Sessional |
|Course No.PHY-102 |3 |1 |2 |100 |25 |
|Duration of Exam: 03 hours | | | | | |
SECTION-A
|Unit-1 |Mathematical Physics |No. of |Weightage |
| | |lectures | |
| |Review of Vector Algebra, Scalar and |10 |25% |
| |Vector fields, Gradient of a Scalar | | |
| |field, Divergence and curl of a vector | | |
| |field and their physical significance, | | |
| |solenoidal fields, Guass Divergence | | |
| |theorm, Stokes theorem and their | | |
| |applications, Vector Identities | | |
|Unit-II |Electromagnetic fields and waves | | |
| |Guass's law in vector notation |16 |25% |
| |(differential and integral forms), | | |
| |Applications of Guass's law to find | | |
| |electric fields due to a long straight | | |
| |charged wire, Cylindrical and Spherical | | |
| |charge distributions. | | |
| |Derivation of Ampere's Circuital law, | | |
| |Application of Ampere's circuital law to | | |
| |find magnetic intensity due to long | | |
| |cylindrical wire, due to a long solenoid.| | |
| |Differential & Integral form of Faraday's| | |
| |law of electromagnetic induction, | | |
| |Equation of continuity, Displacement | | |
| |current and its significance, Maxwell's | | |
| |field equations (differential and | | |
| |integral forms), Betaron, | | |
| |Electromagnetic wave propagation in free | | |
| |space (e.m wave equations for [pic]fields| | |
| |for free space and their solutions (plane| | |
| |wave solution), velocity of e.m. waves, | | |
| |Relation between Eo & Bo . Definition of | | |
| |Poynting Vetor, Poynting theorem. | | |
| | SECTION-B| | |
|Unit-III|applied optics | | |
| |Interference in thin films (by reflection|12 |20% |
| |and transmission of light), Theory of | | |
| |Newton's rings by reflected light, | | |
| |Determination of wave length and | | |
| |refractive index of monochromatic light | | |
| |by Newton's theory. | | |
| |Fraunhoffer & Fresnel's diffractions | | |
| |Fresnel's half period zones and | | |
| |rectilinear propagation of light, | | |
| |Fraunhoffer diffraction due to a single | | |
| |slit, plane diffraction grating & its | | |
| |theory for secondary maxima and minima. | | |
| |Unpolarized and polarized light, Nicol | | |
| |Prism, Mathematical representation of | | |
| |polarization of different types, Quarter | | |
| |& half wave plates. | | |
|UNIT-IV |OSCILLATIONS | | |
| |Free damped and forced oscillations and |05 |15% |
| |their differential equations, Logarithmic| | |
| |decrement, power dissipation & Quality | | |
| |factor, ultrasonic waves and their | | |
| |production by Piezoelectric method and | | |
| |applications (General) | | |
|Unit-v |Fibre optics | | |
| |Propagation of light in fibres, numerical|05 |15% |
| |aperture, Single mode and multimode | | |
| |fibres, General applications | | |
tutorials
|s.nO.|TOPICS |UNIT NO. |
|t-1 |Numerical problems based on vector analysis |I |
|T-2 |Numerical problems on Gradient of Scalar fields |I |
|T-3 |Numerical problems on Divergence of Vector fields |I |
|T-4 |Numerical problems on Curl of vector fields |I |
|T-5 |Numerical problems based on Guass divergence theorem |I |
| |and Stokes Theorem | |
|T-6 |Numerical problems based on the applications of Guass's|II |
| |Law | |
|T-7 |Numerical problems based on the applications of |II |
| |Ampere's law | |
|T-8 |Numerical problems pertaining to the applications of |II |
| |Faraday's law | |
|T-9 |Numerical problems pertaining to the applications of |III |
| |Interference phenomenon, Formation of Newton's rings | |
|T-10 |Numerical problems pertaining to the applications of |III |
| |diffraction and polarization phenomenon | |
|T-11 |Numerical problems based on the applications of SHM, |IV |
| |damped and forced motion of bodies and applications of | |
| |ultrasonic | |
|T-12 |Numerical problems based on the applications of Fibre |V |
| |optics | |
Note: Setting of question paper (Instructi