Saturday, September 25, 2010

Extra Topics in Olympiad Syllabus (As compared to IIT JEE Syllabus)

The syllabus below is copied from HBCSE website and additional topics are highlighted red. If there are any comments I have used a green font for them.

General :
A.The extensive use of the calculus (differentiation and integration) and the use of complex numbers or solving differential equations should not be required to solve the theoretical and practical problems.

B.Questions may contain concepts and phenomena not contained in the Syllabus but sufficient information must be given in the questions so that candidates without previous knowledge of these topics would not be at a disadvantage.

C.Sophisticated practical equipment likely to be unfamiliar to the candidates should not dominate a problem. If such devices are used then careful instructions must be given to the candidates.

D.The original texts of the problems have to be set in the SI units.

A. THEORETICAL PART

1. MECHANICS

a] Foundation of kinematics of a point mass

* Note: vector description of the position of the point mass, velocity and acceleration as vectors

b] Newton's laws, inertial systems

* Note: problems may be set on changing mass

c] Closed and open systems, momentum and energy, work, power

d] Conservation of energy, conservation of linear momentum, impulse

e] Elastic forces, frictional forces, the law of gravitation, potential energy and work in a gravitational field

* Note: Hooke's law, coefficient of friction (F/R=const), frictional forces static and kinetic, choice of zero of potential energy

f] Centripetal acceleration, Kepler's laws //Proof of Elliptical Orbit Using Polar Coordinates??

2] MECHANICS OF RIGID BODIES

a] Statics, center of mass, torque

* Note: couples, conditions of equilibrium of bodies

b] Motion of rigid bodies, translation, rotation, angular velocity, angular acceleration, conservation of angular momentum

* Note: conservation of angular momentum about fixed axis only

c] External and internal forces, equation of motion of a rigid body around the fixed axis, moment of inertia, kinetic energy of a rotating body

* Note: parallel axes theorem (Steiner's theorem), additivity of the moment of inertia

d] Accelerated reference systems, inertial forces

* Note: knowledge of the Coriolis force formula is not required

3] HYDROMECHANICS

No specific questions will be set on this but students would be expected to know the elementary concepts of pressure, buoyancy and the continuity law.

4] THERMODYNAMICS AND MOLECULAR PHYSICS

a] Internal energy, work and heat, first and second laws of thermodynamics //Hemholtz Energy ?? Gibbs Energy??

* Note: thermal equilibrium, quantities depending on state and quantities depending on process //Enthalpy??

b] Model of a perfect gas, pressure and molecular kinetic energy, Avogadro's number, equation of state of a perfect gas, absolute temperature, //Vanderwaal's Equation/ Claypeyron??

* Note: also molecular approach to such simple phenomena in liquids and solids as boiling, melting etc.

c] Work done by an expanding gas limited to isothermal and adiabatic processes//Irreversible Processes??

* Note: proof of the equation of the adiabatic process is not required

d] The Carnot cycle, thermodynamic efficiency, reversible and irreversible processes, entropy (statistical approach), Boltzmann factor

* Note: entropy as a path independent function, entropy changes and reversibility, quasistatic processes

5] OSCILLATIONS AND WAVES

a] Harmonic oscillations, equation of harmonic oscillation

* Note: solution of the equation for harmonic motion, attenuation and resonance - qualitatively

b] Harmonic waves, propagation of waves, transverse and longitudinal waves, linear polarization, the classical Doppler effect, sound waves

* Note: displacement in a progressive wave and understanding of graphical representation of the wave, measurements of velocity of sound and light, Doppler effect in one dimension only, propagation of waves in homogeneous and isotropic media //Solids??/ Liquids??, reflection and refraction, Fermat's principle

c] Superposition of harmonic waves, coherent waves, interference, beats, standing waves

* Note: realization that intensity of wave is proportional to the square of its amplitude. Fourier analysis is not required but candidates should have some understanding that complex waves can be made from addition of simple sinusoidal waves of different frequencies. Interference due to thin films and other simple systems // Fresnel Biprism, Newton's Rings ??(final formulas are not required), superposition of waves from secondary sources (diffraction)

6] ELECTRIC CHARGE AND ELECTRIC FIELD

a] Conservation of charge, Coulomb's law

b] Electric field, potential, Gauss' law

* Note: Gauss' law confined to simple symmetric systems like sphere,cylinder, plate etc., electric dipole moment

c] Capacitors, capacitance, dielectric constant, energy density of electric field

7] CURRENT AND MAGNETIC FIELD

a] Current, resistance, internal resistance of source, Ohm's law, Kirchhoff's laws, work and power of direct and alternating currents, Joule's law

* Note: simple cases of circuits containing non-ohmic devices with known V-I characteristics //Diodes/ Zener Diodes/ Transistors in Various Configurations/ Transistor Amplifier/ Transistor Oscillator/ Diode Valves/ Triodes??

b] Magnetic field (B) of a current, current in a magnetic field, Lorentz force

* Note: particles in a magnetic field, simple applications like cyclotron, magnetic dipole moment //of a bar magnet etc..

c] Ampere's law

d] Law of electromagnetic induction, magnetic flux, Lenz's law, self-induction, inductance, permeability, energy density of magnetic field

* Note: magnetic field of simple symmetric systems like straight wire, circular loop and long solenoid

e] Alternating current, resistors, inductors and capacitors in AC-circuits, voltage and current (parallel and series) resonances

* Note: simple AC-circuits, time constants, final formulae for parameters of concrete resonance circuits are not required

8] ELECTROMAGNETIC WAVES

a] Oscillatory circuit, frequency of oscillations, generation by feedback and resonance

b] Wave optics, diffraction from one and two slits, diffraction grating, resolving power of a grating, Bragg reflection

c] Dispersion and diffraction spectra, line spectra of gases

d] Electromagnetic waves as transverse waves, polarization by reflection, polarizers

* Note: superposition of polarized waves

e] Resolving power of imaging systems

f] Black body, Stefan-Boltzmanns law //Rayleigh Jeans Formula??

* Note: Planck's formula is not required

9] QUANTUM PHYSICS

a] Photoelectric effect, energy and impulse of the photon

* Note: Einstein's formula is required

b] De Broglie wavelength, Heisenberg's uncertainty principle

10] RELATIVITY

a] Principle of relativity, addition of velocities, relativistic Doppler effect

b] Relativistic equation of motion, momentum, energy, relation between energy and mass, conservation of energy and momentum //Lorentz Transformations

11] MATTER

a] Simple applications of the Bragg equation

b] Energy levels of atoms and molecules (qualitatively), emission, absorption, spectrum of hydrogenlike atoms

c] Energy levels of nuclei (qualitatively), alpha-, beta- and gamma-decays, absorption of radiation, halflife and exponential decay, components of nuclei, mass defect, nuclear reactions.

B. PRACTICAL PART
The Theoretical Part of the Syllabus provides the basis for all the experimental problems. The experimental problems given in the experimental contest should contain measurements.

1] Candidates must be aware that instruments affect measurements.

2] Knowledge of the most common experimental techniques for measuring physical quantities mentioned in Part A.

3] Knowledge of commonly used simple laboratory instruments and devices such as calipers, thermometers, simple volt-, ohm- and ammeters, potentiometers, diodes, transistors, simple optical devices and so on.

4] Ability to use, with the help of proper instruction, some sophisticated instruments and devices such as double-beam oscilloscope, counter, ratemeter, signal and function generators, analog-to-digital converter connected to a computer, amplifier, integrator, differentiator, power supply, universal (analog and digital) volt-, ohm- and ammeters.

5] Proper identification of error sources and estimation of their influence on the final result(s).

6]Absolute and relative errors, accuracy of measuring instruments, error of a single measurement, error of a series of measurements, error of a quantity given as a function of measured quantities.

7] Transformation of a dependence to the linear form by appropriate choice of variables and fitting a straight line to experimental points.

8] Proper use of the graph paper with different scales (for example polar and logarithmic papers).

9] Correct rounding off and expressing the final result(s) and error(s) with correct number of significant digits.

10] Standard knowledge of safety in laboratory work. (Nevertheless, if the experimental set-up contains any safety hazards the appropriate warnings should be included into the text of the problem.)

• The syllabus for  National Standard Examination in Physics (NSEP) is broadly  equivalent to the senior secondary level (Class XI and Class XII) of CBSE Physics. This is only a rough guideline, and there is no detailed syllabus given for NSEP.
• The syllabus for Indian National Physics Olympiad (INPhO) is broadly similar to NSEP but the difficulty level of the questions will be higher. Questions and problems in National Olympiads are usually non-conventional and of high difficulty level, comparable to International Olympiads.

Tuesday, July 27, 2010

Weekly Challenge Problem 1: Constraint Relations

A hinged construction consists of three rhombs with the ratio of sides 3:2:1 (Fig.) Vertex A3 moves in the horizontal direction at a velocity v. Determine the velocities of vertices A1, A2, and B2 at the instant when the angles of the construction are 90 degrees.

Monday, July 12, 2010

Weekly Challenge 3: Circular Motion

On a certain rough horizontal circular track of Radius R having a constant coefficient of friction, the maximum attainable speed for a cyclist is vo. A cyclist begins to ride on this track in such a manner as to attain the maximum possible speed in shortest possible time. What will be ratio of his initial tangential acceleration to his tangential acceleration at an instant when he  attains a speed of vo

Solution to the weekly challenge 2

The Original Challenge Problem can be found here:

Solution to the Weekly Challenge 2

Wednesday, July 7, 2010

Weekly Challenge 2: Projectile Motion: 8/7/2010

A projectile is fired from the top of a tower whose height is unknown. It is found that for a  projection speed of 10m/s , the maximum range is obtained at a projection angle of 30o.What is the maximum range (i.e. from foot of the tower to the landing point on ground) and what is the height of the Tower?

Monday, July 5, 2010

Online quiz on kinematics, Laws of Motion and Work Power and Energy

2. To get a better  view  of the quiz, you may  want to use full screen (at top of the quiz frame) and zoom options (at the bottom of the quiz frame) for the embedded quiz
4. After filling the OMR you will be graded instantly by hitting "show me my marks" button
6. To Time the Test, if you like you can use the following Timer

Online Quiz on Work Power Kinematics_ and Laws of Motion

Tuesday, June 29, 2010

Irodov Solutions

http://irodovsolutions.blogspot.com/

Saturday, June 26, 2010

Physics Challenges by American Association of Physics Teachers

It is a real nice collection of physics challenges

Useful Physics Resources: MIT Open Courseware

Some nice lecture notes, Videos, and Problems sets are available at the MIT opencourseware site

(They are relevant for IIT JEE preparation as well, however they are not a substitute for live classroom specialized training)

Books and Links « JEE 2010

Video Presentations in Physics

Here are some interesting video presentation files for Advanced Placement Test in Physics (Level C). This exam is equivalent of IIT JEE in the U.S.

(Tip: Don't try to view unless you have atleast 256kbps connection, it will waste time. Use discretion while viewing videos. (Is it really a productive use of time for me!))

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You can also view a little more advanced video (more relevant for JEE from:
http://www.hippocampus.org/College%20Preparatory%20Physics%20II

and
http://www.hippocampus.org/College%20Preparatory%20Physics%20I

Friday, June 25, 2010

Winners of Weekly Challenge

No correct entries so far

Sunday, June 6, 2010

Virtual OMR (Kinematics/Laws of Motion/Work Power and Energy)

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Thank You For Writing the Quiz

Friday, June 4, 2010

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