## CBSE PUBLISHED AIEEE ADMISSION NOTICE –2012

CBSE will be conducting the Eleventh All India Engineering/Architecture Entrance Examination (AIEEE), Offline Examination on 29th April, 2012 (Sunday) and Online Examination for B.E./.B.Tech. only from 7th May to 26th May, 2012 for admission to degree level courses in Engineering and Architecture in National Institute of Technologies (NITs), Indian Institute of Information Technologies (IIITs), Centrally funded Institutions, Deemed Universities and Institutions in States/UTs (Other than those covered by Joint Entrance Examination) State Level Entrance Examination.

1. Subject Combination and Mode of Examination
SUBJECTS

Paper 1
Physics, Chemistry & Mathematics

TYPE OF QUESTIONS

Objective type questions with equal weightage to Physics, Chemistry & Mathematics

MODE OF EXAMINATION

BOTH OFFLINE (PAPER/PEN) AND ONLINE (CBT MODE) AS PER SELECTED CITIES

Paper 2
Mathematics – Part I (Objective type questions)
Aptitude Test – Part II (Objective type questions)
& Drawing Test – Part III (questions to test Drawing Aptitude OFFLINE ONLY)

2. Schedule of Examination
AIEEE
will be conducted as per schedule given below:
A. Pen & Paper (Offline examination)
29.04.2012

0930-1230 Hours (3 Hours)

Paper 1

Physics, Chemistry & Mathematics

29.04.2012
1400-1700 Hours (3 Hours)
Paper 2
Mathematics – Part I
Aptitude Test – Part II &
Drawing Test – Part III
B. On line examination for B.E. /B.Tech only (Computer base testing)
7-05-2012 to 26.05.2012
1st shift (9.00 am to 12.00 noon) 2nd shift (2.00 pm to 5.00 pm) 3 Hours

Paper 1
Physics, Chemistry & Mathematics

## Motion in a vertical circle and conservation of energy

A stone  tied to a string of length l is whirled around a vertical circle with the other end of the string at the centre. At a certain instant of time the stone is at the lowest position and has a speed u. What is the magnitude of change in its velocity as it reaches a position where the string is horizontal?

Let’s assume that the potential energy at the lowest position be zero. So, when the string is horizontal, the stone has risen by a vertical height l, the length of the string which is also the radius of the vertical circle.

If v is the magnitude of velocity at the horizontal position, then according to the law of conservation of energy,

KE+PE at the lowest position = KE+PE at the horizontal position

$\frac{1}{2}mu^{2}=\frac{1}{2}mv^{2}+mgl$

From the equation above, v-u can be calculated.

$v=\sqrt{u^{2}-2gl}$

The following links will help you for deeper understanding and you can browse through some solved problems from the topic too.

## Which books should be referred for IIT JEE ?

We have received hundreds of questions on the above subject. As the questions continue to pour in, we found it necessary to create a post on it. IIT JEE is an entrance exam of international repute and IITs are considered at par with MIT by many. So, if you are an IIT aspirant, it is very [...]

## How to prepare for IIT JEE?

Surya Kant Dwivedi asks: “I am always confused in Physics that how can i do my best in Physics. It is my weakest portion in ’PCM’. Please guide me.

Excelling in Physics in IIT JEE requires systematic planned preparation. The first step is to make sure that you can solve all the exercises from NCERT text book (including the solved examples and additional exercises) confidently and completely. This ensures that you have sufficient exposure and you are up to the standard expected of you.

The next step is to get a good collection of questions asked previously in IIT JEE and solve them. If you are not able to solve a problem, you are welcome to post it here.

Recommended Books:

Fundamentals of Physics (Resnick Hallidey)

Concepts of Physics (HC Verma)

Irodov Problem in Physics

## A problem for IIT JEE aspirants

Consider the shown arrangement in which a thin rope ‘A’ with a linear density mA is connected to a thick rope ‘B’ with linear mass density mB. The thick rope passes over a pulley and is connected to a heavy block of mass M. The separation of fixed support S from a pulley is L. A stationary wave is setup in this composite string such that the joint remains a node. Given that mb = 4 kg/m, ma = 0.4 kg/m, M = 1 kg and L = 4l = 1 m. Under these conditions, find:

1. The least possible frequency of vibration
2. The total energy of vibration if the amplitude for both the string is A = 1 mm and the string vibrates at the frequency obtained in (a).

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## Eligibility Criteria for IIT JEE

ELIGIBILITY FOR JEE-2010
Candidates must make sure that they satisfy all the eligibility conditions given below for appearing in JEE-2010:

Date of Birth
The date of birth of candidates belonging to GE, OBC and DS categories should be on or after October 1,1985. Whereas the date of birth of those belonging to SC, ST and PD categories should be on or after October 1,1980.
The date of birth as recorded in the high school/first Board/ Pre-University certificate will be accepted. If the certificate does not mention the date of birth, a candidate must submit along with the application, an authenticated document indicating the date of birth.

Year of passing Qualifying Examination (QE)
A candidate must have passed the QE for the first time, after October 1, 2008 or in the year 2009 or will be appearing in 2010.
Those who are going to appear in the QE later than October 1, 2010 are not eligible to apply for JEE-2010.
The qualifying examinations (QE) are listed below:
i) The final examination of the 10+2 system, conducted by any recognized central / state Board, such as Central Board of Secondary Education, New Delhi; Council for Indian School Certificate Examination, New Delhi; etc.
ii) Intermediate or two-year Pre-University examination conducted by a recognized Board / University.
iii) Final examination of the two-year course of the Joint Services Wing of the National Defence Academy.
iv) General Certificate Education (GCE) examination (London/Cambridge/Sri Lanka) at the Advanced (A) level.
v) High School Certificate Examination of the Cambridge University or International Baccalaureate Diploma of the International Baccalaureate Office, Geneva.
vi) Any Public School/Board/University examination in India or in any foreign country recognized as equivalent to the 10+2 system by the Association of Indian Universities (AIU).
vii) H.S.C. vocational examination.
viii) Senior Secondary School Examination conducted by the National Institute of Open Schooling with a minimum of five subjects.
ix) 3 or 4 year Diploma recognized by AICTE or a state Board of technical education. In case the relevant qualifying examination is not a public examination, the candidate must have passed at least one public (Board or Pre-University) examination at an earlier level.

Minimum Percentage of Marks in QE
Candidates belonging to GE, OBC and DS categories must secure at least 60% marks in aggregate in their QE. Whereas, those belonging to SC, ST and PD categories must secure at least 55% marks in aggregate in the QE.
The percentage of marks awarded by the Board will be treated as final. If the Board does not award the percentage of marks, it will be calculated based on the marks obtained in all subjects listed in the mark sheet. If any Board awards only letter grades without providing an equivalent percentage of marks on the grade sheet, the candidate should obtain a certificate from the Board specifying the equivalent marks, and submit it at the time of counselling/ admission. In case such a certificate is not provided then the final decision rests with the Joint Implementation Committee of JEE-2010.
4. Important Points to note
(i) One can attempt JEE only twice, in consecutive years. That means one should have attempted JEE for the first time in 2009 or will be appearing in 2010.
(ii) Those who have accepted admission after qualifying in JEE in earlier years by paying full fees at any of the IITs, IT-BHU, Varanasi or ISM, Dhanbad, are NOT ELIGIBLE to write JEE at all irrespective of whether or not they joined in any of the programmes.
(iii) The year of passing the Qualifying Examination is the year in which the candidate has passed, for the first time, any of the examinations listed above, irrespective of the minimum percentage marks secured.
(iv) The offer of admission is subject to verification of original certificates/ documents at the time of admission. If any candidate is found ineligible at a later date even after admission to an Institute, his/ her admission will be cancelled automatically.
(iv) If a candidate is expecting the results of the QE in 2010, his/her admission will only be provisional until he/she submits the relevant documents. The admission stands cancelled if the documents are not submitted in original to the concerned institute before September 30,2010.
(v) If a candidate has passed any of the examinations, listed in Sub-section III.2, before October 1,2008, he/she is not eligible to appear in JEE-2010.
(vi) If a Board invariably declares the results of the QE late (only after September 30, every year), the candidate is advised to attempt JEE in 2011 or later.
(vii) The decision of the Joint Admission Board of JEE-201 0 regarding the eligibility of any applicant shall be final.

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## Physics Syllabus for IIT JEE

 Physics General: Units and dimensions, dimensional analysis; least count, significant figures; Methods of measurement and error analysis for physical quantities pertaining to the following experiments: Experiments based on using Vernier calipers and screw gauge (micrometer), Determination of g using simple pendulum, Young’s modulus by Searle’s method, Specific heat of a liquid using calorimeter, focal length of a concave mirror and a convex lens using u-v method, Speed of sound using resonance column, Verification of Ohm’s law using voltmeter and ammeter, and specific resistance of the material of a wire using meter bridge and post office box. Mechanics: Kinematics in one and two dimensions (Cartesian coordinates only), projectiles; Uniform Circular motion; Relative velocity. Newton’s laws of motion; Inertial and uniformly accelerated frames of reference; Static and dynamic friction; Kinetic and potential energy; Work and power; Conservation of linear momentum and mechanical energy. Systems of particles; Centre of mass and its motion; Impulse; Elastic and inelastic collisions. Law of gravitation; Gravitational potential and field; Acceleration due to gravity; Motion of planets and satellites in circular orbits; Escape velocity. Rigid body, moment of inertia, parallel and perpendicular axes theorems, moment of inertia of uniform bodies with simple geometrical shapes; Angular momentum; Torque; Conservation of angular momentum; Dynamics of rigid bodies with fixed axis of rotation; Rolling without slipping of rings, cylinders and spheres; Equilibrium of rigid bodies; Collision of point masses with rigid bodies. Linear and angular simple harmonic motions. Hooke’s law, Young’s modulus. Pressure in a fluid; Pascal’s law; Buoyancy; Surface energy and surface tension, capillary rise; Viscosity (Poiseuille’s equation excluded), Stoke’s law; Terminal velocity, Streamline flow, equation of continuity, Bernoulli’s theorem and its applications. Wave motion (plane waves only), longitudinal and transverse waves, superposition of waves; Progressive and stationary waves; Vibration of strings and air columns;Resonance; Beats; Speed of sound in gases; Doppler effect (in sound). Thermal physics: Thermal expansion of solids, liquids and gases; Calorimetry, latent heat; Heat conduction in one dimension; Elementary concepts of convection and radiation; Newton’s law of cooling; Ideal gas laws; Specific heats (Cv and Cp for monoatomic and diatomic gases); Isothermal and adiabatic processes, bulk modulus of gases; Equivalence of heat and work; First law of thermodynamics and its applications (only for ideal gases);  Blackbody radiation: absorptive and emissive powers; Kirchhoff’s law; Wien’s displacement law, Stefan’s law. Electricity and magnetism: Coulomb’s law; Electric field and potential;  Electrical potential energy of a system of point charges and of electrical dipoles in a uniform electrostatic field; Electric field lines; Flux of electric field; Gauss’s law and its application in simple cases, such as, to find field due to infinitely long straight wire, uniformly charged infinite plane sheet and uniformly charged thin spherical shell. Capacitance; Parallel plate capacitor with and without dielectrics; Capacitors in series and parallel; Energy stored in a capacitor. Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current. Biot–Savart’s law and Ampere’s law; Magnetic field near a current-carrying straight wire, along the axis of a circular coil and inside a long straight solenoid; Force on a moving charge and on a current-carrying wire in a uniform magnetic field. Magnetic moment of a current loop; Effect of a uniform magnetic field on a current loop; Moving coil galvanometer, voltmeter, ammeter and their conversions. Electromagnetic induction: Faraday’s law, Lenz’s law; Self and mutual inductance; RC, LR and LC circuits with d.c. and a.c. sources. Optics: Rectilinear propagation of light; Reflection and refraction at plane and spherical surfaces; Total internal reflection; Deviation and dispersion of light by a prism; Thin lenses; Combinations of mirrors and thin lenses; Magnification. Wave nature of light: Huygen’s principle, interference limited to Young’s double-slit experiment. Modern physics: Atomic nucleus; Alpha, beta and gamma radiations; Law of radioactive decay;  Decay constant; Half-life and mean life; Binding energy and its calculation; Fission and fusion processes; Energy calculation in these processes. Photoelectric effect; Bohr’s theory of hydrogen-like atoms; Characteristic and continuous X-rays, Moseley’s law; de Broglie wavelength of matter waves.

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