Applied Mathematics 1 Diploma Engineering Pdf Karnataka

Approved Diploma CETCurriculum

2012

Curriculum Development Cell, Directorate Of Technical Education, Bangalore.Page1

APPLIED SCIENCE Max.Marks:40 UNIT-I: UNITS,DIMENSIONS AND MEASUREMENT

: Physical quantities,Systems of units,Advantages of SI,Dimensions,Dimensional formula and its Applications, Principle ofVernier,its usage,Principle of Screwguage,its usage-Problems.

1x4=4marks UNIT

–

II:BASICS OF DYNAMICS

: Equations of motion,

Newton's laws of motion,

Force , Inertia,Momentum,Law of conservation of momentum,Simple problems.Friction,Advantages and disadvantages.

1x4=4 marks UNIT-III: BASICS OF STATICS:

Scalars,Vectors,Resultant,Equilibrium,Resolution of Vectors.Laws ofVectors (Parallelogram law,Triangle law,

Lami's theorem,

Polygon law)Simple problems. Co-planar parallel Forces,Moment of Force,Couple,Moment of Couple,Parallel Forces, Conditions of Equilibrium,Simpleproblems.

1x5=5 marks UNIT-IV:PROPERTIES OF SOLIDS AND LIQUIDS:

Plasticity and Elasticity,Types of Stress and Strain,

Hooke's Law

,Types of moduliiof elasticity, Compressibility,

Poisson's ratio,

Factor of safety,simple problems. Liquid pressure,Cohesive and Adhesive forces,Angle of contact,Surface Tension and its Application,Capillarity and its Applications,Viscosity and its Applications,simple problems.

1x6= marks UNIT-V: HEAT AND PROPERTIES OF GASES

: Heat and Temperature,Specific Heat, Heat Capacity,Specific heats of gases,C

and C

relation betweenthem,Gas laws-

Boyle's law,Charle's law ,absolute scale of temperature,

Perfect gas equation,simple problems.

1x3=3 marks

Approved Diploma CETCurriculum

2012

Curriculum Development Cell, Directorate Of Technical Education, Bangalore.Page2

Continued…

Page 2 UNIT-VI:WAVE MOTION:

Basic definitions of vibratory motion,SHM,Wave motion,Types of waves,Stationary Waves and its Characteristics,Resonance,Beats and its applications,Velocity of sound in gas,affecting factors,Laws oftransversevibrations of stretched string,Acoustics of building-Echo,Reverberation,simple problems.

1x7=7 marks UNIT-VII: PHYSICAL OPTICS:

Introduction to theories of light-

Newton's corpuscular theory, Huygen's wave theory Maxwell's electromagnetic theory,

Planc

k's quant

um theory.

Interference-

Theory of interference,Expression for amplitude and intensity of resultant wave,conditions for constructive and destructive interference,expression for path difference and fringe width, simple problems on fringe width and path difference.

Diffraction-

Fresnel's diffraction, F

raunhoffer

diffraction, difference between interference and diffraction, Resolving power, expression for resolving power of microscope and telescope.

Polarisation-

Plane of vibration, plane of polarization, methods of producing plane polarized

light, Brewster's law

1x5= 5 marks UNIT-VIII: MODERN PHYSICS: Electron emission-

Thermionic emission, Photoelectric emission,Field emission and secondary emission,Experimental results ofphotoelectric effect,

Einstein's photoelectric

equation,Photoelectric cell and its applications,scattering of light,coherent scattering and incoherent scattering,Raman effect-applications

Laser-

Principle, necessary conditions,properties andapplications of laser,

Radioactivity

-properties of

and

rays.

1x4= marks UNIT-IX: ENGINEERING CHEMISTRY:

Corrosion-electrochemical theory of corrosion, methods of prevention. pH of solution-pHscale, applications.

1x2=2marks.