BCA Syllabus for PHYSICS (Subsidiary Papers)
PHYSICS Part - I
(Theory)
Time:
3 hours 75 MARKS
Twelve questions to be set
from all groups together. Five questions are compulsory to be answered - two
from group - A, one from Group - B and two from Group - C.
Group - A
Mechanics, Properties of
matters
Mechanics :
Laws of Motion, Inertial and
non-inertial frames of references, Uniformly accelerating reference frame,
Coriolis and centripetal acceleration and their simple applications.
Motion under a central force.
Kepler's Laws. Gravitational Law. Potential at a point due to a spherical body.
Generalized coordinates.
Constraints (Holonomic and non-Holonomic). Langranges equation of motion and its
simple application.
Motion of rigid bodies,
rotational motion, moment of inertia Farter's Equations of motion.
Properties of Matter :
Elasticity and elastic
constants. Relation between elastic constants. Bending of beams and
cantilevers. Beam supported at both ends. Torsion of a cylinder. Torsional
oscillations, flat spiral spring. Effect of temperature.
Surface tension and surface energy. Ripples and
gravity waves. Determination of surface tension by method of ripples. Effect of
temperature on surface tension.
Viscosity of liquid, Critical
velocity, Poiseulle's formula with correction. Flow of compressible fluid
through capillary. Viscosity of gas, Rankine's method. Effect of temperature and
pressure on viscosity.
Group - B
ACOUSTICS
Differential
Equation of a wave, Equation of a progressive
waves, Stationary waves, Compression waves in fluids and in extended solids.
Free, damped and forced oscillations power dissipation. Q-factor resonance. Fourier's Theorem and its
application to rectangular and saw-tooth waves. Vibration of stings. Intensity
and Soundness of sound and their measurement. Bet and Phon. Acoustics of
building. Sabine's formula.
Group - C
Thermal
Physics
Maxwellian distribution of
speeds in ideal gas and its experimental verification. Mean, RMS, and most
probable velocity. Degree of freedom and equipartition of energy Mean free path
and its experimental determination. Brownian motion. Vander-waal Equation of
state critical constants.
Thermodynamics- Zeroth Law,
1st Law of thermodynamics. Absolute scale of temperature. Carnot theorem and Carnot Cycle. Entropy and its calculation in simple cases.
Thermodynamics relations and application in simple
physical problems : Clausius - Clapeyron equation, Joule Thomson Cooling and
adiabatic cooling of Vander-Wall gas. Themodynamics potential and equilibrium
of thermodynamical system, relation with thermodynamical variables. Cooling due
to adiabtic dimagnestisation.
Black/Body Radiation-Kirchhoffs
Law and black body radiation, Stefan Boltsman Law. Pressure of radiation,
Spectral distribution of black body radiation. Wein's displacement Law and
Rayleigh jean's Law. Planck's Law and its experimental Verification. Solar constant.
Interpretation of behaviour of specific heat of gases at low temperature.
Laboratory
works Full
Marks - 25
Time - 3 Hrs.
The course shall include the
following experiments.
1 Determination of 'g' by bar pendulum.
2. Determination of Young's module by Rexure of beam.
3. Determination of elastic constants by Searie's method.
4. Determination of modules of rigidity by
(i) Statical
method and
(ii) Dynamical
method.
5. Determination of surface tension by
(i) Capillary
rise method
(ii) Jaeger's
method.
6. Viscosity of liquid by capillary flow method.
7. Determination of coefficient of viscosity of liquid by
Stoke's method.
8. Sp. heat of liquid by method of cooling.
9. Thermal conductivity of copper.
10. Determination of "J" by Joule's Calorimeter
method.
11. Determination of frequency of fork
melds Experiment.
12. Computer Programming in FORTRAN
(i)Elementary FORTRAN Programme : Flow chart and
their interpretation.
(ii)To print out even / odd natural between given
limits.
(iii)To find maximum minimum and range of a given set
of number.
(iv)To find the product of two matrices.
(v)To find the roots of a quadratic equation.
(vi)Numerical solution of equation of motion.
(vii)To evaluate sum of finite series and the area
under the curve.
Text and Reference Books :
1. E.M. Purcell, Ed. "Berkeley Physics Course",
Vol. - (Mc-Graw-Hill)
2. D.P.Khandelwal, "Oscillation and waves"
(Himalaya Publishing House, Bombay)
3. R.P.Feymman, R.B. Lighton and M. Sands. The Feynman Lectures
in Physics Vol-1
4. D.P.Khandelwal : "A Laboratory Manual for
undergraduate Classes
5. S.Lipsdutz and poe, 'Schaum's Outline of Theory and
Problems of Programming with Fortran (Mc
Graw - Hill Book Company, Singapore, 1986)
6. A tratise of Heat and Thermodynamics by Saha &
Srivastava.
7. Heat and Thermodynamics by Zemanskey.
8. R.K. Ghosh : The
Mathematics of Waves and vibrations (Mc Millan, 1975)
9. D.S. Mathur : Properties of Matters (S. Chand & Co.)
10. Newman & Searle : Properties of Matters (Orient
Longmans)
11. D.R. Khanna & R.S. Bedi; Text Book of Sound (Atma Roy
& Sons, Delhi)
PHYSICS PART - II
(Subsidiary)
Time - 3 Hrs.
12 questions to be set, 5 to
be answered, one from group - A, two from each group-B and group-C.
Group-A
: Electrostatics and Magnetism (2 Questions)
Electrostatics - Boundry conditions at the
surface of separation of two dielectrics. Electric doublets Dipole moments,
Dielectric polarisation. Electric image problem involving infinite conducting
plane.
Magnetism - Magnetic shall Langevin's
and weiss theory of dia-para and ferromagnetism. Curie law. Magnetic circuit
and electromagnet, production and measurement of strong magnetic field.
Group-B
: Current electricity and modern physics (5 Questions)
Current Electricity - Thermodynamic treatment of
see beck effect, peltier's effect and Thomson's effect and their application. Moving
coil galvanometer ; aperiodic and ballistic galvanometer. Growth and decay of
current in L-R. C-R and L-C circuits. Oscillatory discharge of condenser. A.C.
and A.C. Circuits: Uses of vectors and complex quantities in a.c. circuit
theory (L-R, C-R, L-C and L-C-R circuits) Resonance, De Sauty bridge
Modern Physics - Measurement of Charge on
electron by Millikan's method. Measurement of specific electronic charge by
Thomson method.Rutherford Sody's theory of
radio-active decay. Elementary ideas about nucleus and its structure. Nuclear
fission; Einstein's photoelectric equation.Compton Effect. Bragg law and
determination of X-rays wave length Cathode ray oscilloscope and its use in
amplitude, frequency and phase measurement solid state rectifier; one stage R-C
amplifier.
Group
- C : Optics (5 Questions)
Geometrical Optics - Fermat's Principle: Principle
of extremum and its application, lens and mirror formula, law of reflection
refraction.Cardinal points of an optical
system, thick lens, aberrations, achromatic combination of lenses. Eye pieces.
Physical Optics - Interference : Principle
of superposition. Thin Newton's ring. Michelson interferometer and its use in
measurement wave length, wave length difference and thickness of mica-sheet.
Perot interferometer and L.G. Plate Echelon grating.
Diffraction - Fresnel diffraction : Half
period zones, zone plate, edge and circular aperture, narrow wire, comu's
spiral and us uses Fraunhofer diffraction: Diffraction at single slit, double
slit. aperture and circular disc. Resolving Power & Rayleigh criteria
Resolving power of a telescope, Micro-scope and Prisms.
Diffraction - Grating Plane
transmission grating, concave grating Resolving power of plane grating.
Laboratory
works (Practical - II)
Full Marks : 25 Time
: 3 hrs.
The course shall include the
following experiments.
1. Spectrometer : Its use in determination of Refractive
Index.
2. Determination of wave length by Newton's ring method.
3. Determination of wave
length of Na-light by plane transmission grating.
4. Magnifying power of telescope.
5. Resolving power of telescope.
6. Measurement of Dip in laboratory by Earth inductor.
7. Figure of merit of moving coil galvanometer.
8. Calibration of Ammeter and Voltmeter by potentiometer.
9. B.G. Constant and Log decrement.
10. Measurement of low resistance.
11. Measurement of high resistance.
12. Temperature variation of electrical resistance.
13. Characteristics of diode valve.
14. Characteristics of P.N. Jn diode.
15. Computer programming:-
(i) Calculation
of days between two dates of a year.
(ii) To
check if triangle exists and types of triangle.
(iii) To
find sum o sine and cosine series and print out thecurve.
(iv) To
solve simultaneous equations by elimination method.
(v) To
prepare the mark list of polynomials.
(vi) Fitting
of a straight line from a given data.
(vii) To
convert a given integer into binary and octal and vice-versa.
(viii) To
obtain inverse of a matrix.
16. Study of Laser as a monochromatic
Coherent source.
17. Determination of wave length by Fresnel biprism.
Text and Reference Books -
1. Berkeley physics course, " Electricity &
Managetism'1 ; Ed. E.M. Purcell (Mc Grw-Hill)
2. Haliday and Resnick ; "Physics" Vol. - 2
3. D.J. Griffith ; " Introduction to
Electrodynamics" (Prentice - Hall, India)
4. Reitz and Milford; "Electricity and Magnetism"
(Addison-Westey)
5. A.S. Mahajan and A.A. Rangwala ; Electricity and
Magnetism (TATA Mc-Graw-Hill)
6. A.M. Portis, " Electromagnetic Fields"
7. Pugh and Pugh, " Principle of Electricity &
Magnetism" (Addison-Weisley)
8. Panofsky and Phillinps, "Classical Electricity
& Magnetism (India Book House)]
9. S.S. Alwood, "Electricity and Magnetism" by
Dover.
10. B.K. Mathur, "Optics"
11. Born and Wolf, "Optics"
12. Jenkins and Whrte," Fundamentsals of Optics" (Mc
Graw-Hill)
13. A.K. Ghatak, " Physical Optics"
14. D.P. Khandelwal, "Optics and Atomic physics"
(Himalaya Publishing House, Bombay, 1988)
15. C. Dixon, " Numerical Analysis"
16. B. Saraf, et,al. , "Mechanical System (Vikash Publish
House New Delhi)
17. S. Lipsdhitz and A. Poe. "Sehaum Outline of Theory
Problem of Programming with
Fortran" (Mc Graw Book Company, Singapore, 1986)
18. Ditchbum, "Optics"
19. B.B. Laud, "Laser and non- linear Optics"
(Wiley-Es1 1985)
20. Smith and Thomson, 'Optics" (John Wiley & Sons)
21. Berkley physics Course ; Vol. III Waves and Oscillatic
22. D.P. Khandelwal, "A Laboratory Manual for
Undergraduate Classes"
(Vani Publishing House, New Delhi)
BCA Syllabus for
Mathematics (Subsidiary Papers)
mathematics
1st Year F.M.
100 Marks
1. Set Theory Das
& Mukherjee
2. Algebra Das
& Mukherjee
3. Differential Calculus Das
& Mukherjee
2nd Year F.M.
100 Marks
1. Integral Calculus Das
& Mukherjee
2. Probablity Das
& Mukherjee
3. Statistics Das
& Mukherjee/Lalji Prakash
i. Set Theory
a. Basic
concept and Definition of different sets, Union, Intersection Complementation
De-Morgan's rule.
b. Relation
& Mapping, function, infuse function.
ii. Algebra
a.
Quadratics Equation and expression
b. In
equation and inequality
c. Determination
and Algebra of Matrices
d. Permutation
and combination
e. Complex
Number
iii. Differential Calculus
a. Limit
and continuity
b. Differentiation,
Fundamental rules for Differentiation
c. Implicit
function
d. Tangent
and normal
e. Roll's
theorem and mean value theorem
iv. Integral Calculus
a. Integration
of algebraic, Trigonometric and logarithmic and exponential function. By method
of transformation, substitution and parts and some well known integrals.
b. Definite
integrals
c. Application
of Definite integrals
d. Area
and length of the arcs
v. Probability
a. Basic
concept of probability and addition formula
b. Compound
probability and conditional probability
vi. Statistics
a. Mean
median and mode
b. Regression
& Correlation
