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jee-exam.html
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<h3 class="text-info">JEE Main & Advanced Info</h3><br>
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Exam Overview Of JEE [Main]
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JEE Main is among the toughest exams in the world. Every year, over 12 lakh students appear while only 2,20,000 qualify for JEE Advanced.
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The Joint Entrance Examination (JEE) is an All-India Common Entrance Exam for getting admissions into engineering colleges across India.
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JEE Main will be conducted twice a year in the month of January and April respectively by National Testing Agency (NTA).
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It is conducted in two phases: JEE Main and JEE Advanced If you clear the given cut-off for JEE Main, you qualify for JEE Advanced.
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With a JEE Main score you can apply to institutions like NITs, IIITs and other Central or State Funded Institutes Whereas, IITs and ISM, Dhanbad consider results of JEE Advanced for admissions.
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From 2019 the examination will be held only in the computer based mode.
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Exam Pattern Of JEE [Main]
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Paper 1
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Subjects: Physics, Chemistry and Mathematics
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<li class="mt-2"><i class="fa fa-check"></i>
Type of questions: Objective (MCQs)
</li>
<li class="mt-2"><i class="fa fa-check"></i>
Mode of examination: Computer based mode only
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<li class="mt-2"><i class="fa fa-check"></i>
Exam duration: 3 hours
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Number of questions: 90 (30 questions from each subject)
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<li class="mt-2"><i class="fa fa-check"></i>
Marking scheme: 4 marks awarded for each correct answer
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Negative marking: 1 mark deducted for each incorrect response
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Paper 2
</h5>
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<div class="card-body">
<ul class="list-unstyled">
<li class="mt-2"><i class="fa fa-check"></i>
Subjects: Physics, Chemistry and Mathematics
</li>
<li class="mt-2"><i class="fa fa-check"></i>
Type of questions: Objective (MCQs)
</li>
<li class="mt-2"><i class="fa fa-check"></i>
Mode of examination: Computer based mode only
</li>
<li class="mt-2"><i class="fa fa-check"></i>
Exam duration: 3 hours
</li>
<li class="mt-2"><i class="fa fa-check"></i>
Number of questions: 90 (30 questions from each subject)
</li>
<li class="mt-2"><i class="fa fa-check"></i>
Marking scheme: 4 marks awarded for each correct answer
</li>
<li class="mt-2"><i class="fa fa-check"></i>
Negative marking: 1 mark deducted for each incorrect response
</li>
</ul>
</div>
</div>
</div>
</div>
</div>
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Eligibility Criteria For JEE [Main]
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Age: General category candidates must have been born on or after 1st October, 1994.
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SC, ST and PWD candidates must have been born on or after 1st October, 1989.
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Subjects: You must have studied at least 5 subjects in 10+2.
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Physics and Mathematics are compulsory subjects.
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Chemistry, Biotechnology, Biology or Technical vocational are the other subjects to select from.
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Score in 12th standard or equivalent exam: General category candidates require a minimum score of least 75% or should be in the top 20 percentile in their respective 12th board or equivalent examination.
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For an SC or ST candidate, the minimum score is 65%.
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Year of passing 12th standard or equivalent exam: You must have passed Class 12th or any equivalent qualifying examination in the years 2017, 2018 or 2019.
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Aadhar Card requirement: You need a registered Aadhaar Card Number to be eligible to apply for JEE Main.
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Number of attempts: You can attempt JEE Main twice in a year - once in January and once in April. Your best score will be considered for qualifying into JEE Advanced and admissions to colleges.
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You can attempt JEE Advanced only for 2 consecutive years.
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Registration For JEE [Main]
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The JEE Main application form has to be filled online. You need to provide details such as your name, email ID, mobile number etc. You will need to choose a username and password for login.
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Step 1: Filling the application form Checklist while filling the form - keep the following items ready:<br>
Board examination details<br>
Personal details like name, email id, mobile number<br>
Academic qualification (Class 12 marks or appearing date)<br>
Contact details of student and guardian<br>
Scanned copy of your photograph, signature and left thumb print (the specification for which are mentioned here)<br>
Once you’ve filled out this information and uploaded the required documents, you need to move to the next step.
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Step 2: Choosing your exam centre. Choose a centre according to your preference.
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Step 3: Payment of fees You can pay your fees online through credit and debit cards. If you wish to pay it offline, you can deposit the fee in cash at Syndicate, Canara, ICICI and HDFC banks through E-Challan.
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Step 4: Confirmation page This page will mention all the details you have filled out in your application form.
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Keep a copy of this page saved at all times.
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Application Fees For JEE [Main]
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<th colspan="2">Fees Payable: FOR EXAMINATION CENTER OPTED -></th>
<th>IN INDIA</th>
<th>OUTSIDE INDIA</th>
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<td rowspan="2">Paper-1 (B.E. / B.Tech) <br> or <br> Paper-2 (B.Arch / B.Planning)</td>
<td>General / OBC (Non creamylaer)*</td>
<td>Boys - Rs.500/- <br>Girls - Rs.250/-</td>
<td>Boys - Rs.2000/- <br>Girls - Rs.1000/-</td>
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<td>SC / ST/ PwD / Transgender</td>
<td>Boys - Rs.250/- <br>Girls - Rs.250/-</td>
<td>Boys - Rs.1000/- <br>Girls - Rs.1000/-</td>
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<td rowspan="2">Both Paper-1 (B.E. / B.Tech) <br> or <br> Paper-2 (B.Arch / B.Planning)</td>
<td>General / OBC (Non creamylaer)*</td>
<td>Boys - Rs.900/- <br>Girls - Rs.450/-</td>
<td>Boys - Rs.3000/- <br>Girls - Rs.1500/-</td>
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<td>SC / ST/ PwD / Transgender</td>
<td>Boys - Rs.450/- <br>Girls - Rs.1500/-</td>
<td>Boys - Rs.450/- <br>Girls - Rs.1500/-</td>
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Admit Card For JEE [Main]
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Once you’ve completed the registration process, you will have to download your Admit Card.
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It is mandatory to carry the Admit Card to the examination Only eligible candidates who have completed the registration process can download the Admit Card.
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Frequently Asked Questions [FAQs] Related To JEE [Main]
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<strong>Q: Can a candidate change the mode of examination?</strong>
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Ans: The JEE Main exam will only be held in the computer based mode. The HRD ministry will organise practice centres from August. These will be free of cost for all aspirants who want to familiarise themselves with the new mode of examination.
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<strong>Q: Can the candidates opt for both the papers of JEE Main?</strong>
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Ans: Yes, the candidates can appear for both papers in JEE, or can also have the liberty to appear for just one of the two.
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<strong>Q: Can candidates change the date of their exam?</strong>
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Ans: Candidates can change the date of their exam only if it clashes with something important, like a board exam.
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<strong>Q: Is it compulsory to have an Aadhaar Card Number to apply for JEE Main ?</strong>
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Ans: Yes, it’s mandatory for candidates to enter their Aadhaar Card Number in the application form in order to register successfully. No application will be accepted without the Aadhaar Card Number.
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<strong>Q: A candidate has applied for both Paper 1 and Paper 2. Can he or she opt for just one paper now?</strong>
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Ans: There is no compulsion for such candidates to appear in both papers. They can choose to appear for the paper of their choice. However, there will be no refund of fees.
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<strong>Q: What action is to be taken if the candidate has opted for Hindi or Gujarati medium for the examination but now wants to appear in the English medium?</strong>
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Ans: The JEE Main question paper is bilingual (both in Hindi and English as well as Gujarati and English) for candidates who have opted for Hindi or Gujarati mediums. The candidate can attempt the questions in any medium during the examination.
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<strong>Q: What colleges can I get into through JEE Main?</strong>
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Ans: IITs, NITs, IIITs and a list of 100 or so central or state funded institutions participate in JEE Main. Though IITs and ISM don’t accept the JEE Main score, they require the JEE Advanced score, this is the first step to getting into the best colleges.
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Exam Overview Of JEE [Advanced]
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JEE Advanced is one of the toughest exams in India. Over 2.24 lakh students take it every year with only 20,000 getting a rank. JEE (Joint Entrance Exam), an all India common entrance exam for engineering, is held in two stages:<br>
Stage 1: JEE Main<br>
Stage 2: JEE Advanced
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JEE Advanced is the second stage of the Joint Entrance Examination. You are eligible to take JEE Advanced only if you clear the cut-off for JEE Main.
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This examination will form the basis for admission to various bachelor’s degree programmes in IITs. IIT Kanpur is to conduct the JEE Advanced 2019 examination for admission to 23 IITs for 12,428 seats, which include Indian School of Mines (ISM), Dhanbad. From 2018, the IITs will also reserve special seats for female engineering aspirants.
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Exam Pattern Of JEE [Advanced]
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Paper 1
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Subjects: Physics, Chemistry and Mathematics
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Type of questions: Objective (MCQs)
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Mode of examination: Computer based mode only
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Exam duration: 3 hours
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Number of questions: 90 (30 questions from each subject)
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Marking scheme: 4 marks awarded for each correct answer
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Negative marking: 1 mark deducted for each incorrect response
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Paper 2
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Subjects: Physics, Chemistry and Mathematics
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Type of questions: Objective (MCQs)
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Mode of examination: Computer based mode only
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Exam duration: 3 hours
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Number of questions: 90 (30 questions from each subject)
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Marking scheme: 4 marks awarded for each correct answer
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Negative marking: 1 mark deducted for each incorrect response
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Eligibility Criteria For JEE [Main]
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Age: As a general category candidate, you must have been born on or after 1st October 1994.
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As a SC, ST or PWD candidate, you must have been born on or after 1st October 1989.[for 2019 JEE (Advanced)]
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Performance in JEE Main: You should be among the top 2,20,000 candidates (all categories included) in JEE Main.
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Reservation: 50.5% candidates are selected from the General category.
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27% will be chosen from OBC-NCL, 15% from SC, 7.5% from ST and 3% from PwD category.
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Year of passing 12th standard or equivalent exam: You must have passed Class 12th or any equivalent qualifying examination in 2018 or 2019 (provided the results are declared before 15th June 2019).
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Number of attempts: You can attempt JEE Advanced a maximum of 2 consecutive years.
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Earlier Admission at IITs or ISM: You are ineligible for JEE Advanced if you have taken or accepted admission by paying the fees at any of the IITs or ISM in the past.
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You are also ineligible if your admission to any of the IITs was canceled in the past.
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However, if you have taken a ‘Preparatory Course’ one year prior to the exam in any IITs, you can apply for JEE Advanced.
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Registration For JEE [Advanced]
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The online application procedure of JEE Advanced comprises of the following three simple steps:
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Step 1: Filling the application form
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You must enter your JEE (Main) roll number, password and security pin.<br>
You will then be redirected to a page that contains your personal and academic details from the JEE Main application.<br>
You have to mention the number of attempts and choose 3 exam centres (they must fall in the same IIT Zone).<br>
You have to select a language of the question paper (Hindi or English).<br>
Note: The JEE Advanced application cannot be withdrawn after registration has been completed.
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Step 2: Uploading scanned certificates
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Here’s a list of documents for general category candidates:<br>
A colour photograph<br>
Class X certificate<br>
Class XII or equivalent examination certificate<br>
Scanned copy of the candidate’s full signature<br>
Scanned copy of the candidate’s left-hand thumb impression<br>
Make sure to find out the full list of documents for JEE Advanced, along with other categories with specifications.
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Step 3: Paying the registration fee You can pay using:
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Debit Card/Internet Banking<br>
Cash at an SBI Bank<br>
International Debit or Credit Card (only for Dubai centre)<br>
Make sure to find out about your payment options for JEE Advanced. It is subject to change from year to year
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Physics Syllabus For JEE [Advanced]
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<h6><i class="fa fa-book"></i> General</h6>
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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
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<h6><i class="fa fa-book"></i> Mechanics</h6>
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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)
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<h6><i class="fa fa-book"></i> Thermal Physics</h6>
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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 (C<sub>v</sub> and C<sub>p</sub> 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.
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<h6><i class="fa fa-book"></i> Electricity and Magnetism</h6>
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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. 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. Electric current; Ohm’s law; Series and parallel arrangements of resistances and cells; Kirchhoff’s laws and simple applications; Heating effect of current.
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<h6><i class="fa fa-book"></i> Optics</h6>
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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.
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<h6><i class="fa fa-book"></i> Modern Physics</h6>
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Atomic nucleus; α, β and γ radiations; Law of radioactive decay; Decay constant; Halflife 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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Chemistry Syllabus For JEE [Advanced]
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<h6><i class="fa fa-book"></i> Physical Chemistry</h6>
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Concept of atoms and molecules; Dalton’s atomic theory; Mole concept; Chemical formulae; Balanced chemical equations; Calculations (based on mole concept) involving common oxidation-reduction, neutralisation, and displacement reactions; Concentration in terms of mole fraction, molarity, molality and normality.
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<h6><i class="fa fa-book"></i> Gaseous and liquid states</h6>
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Absolute scale of temperature, ideal gas equation; Deviation from ideality, van der Waals equation; Kinetic theory of gases, average, root mean square and most probable velocitiesand their relation with temperature; Law of partial pressures; Vapour pressure; Diffusion of gases.
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<h6><i class="fa fa-book"></i> Atomic structure and chemical bonding</h6>
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Bohr model, spectrum of hydrogen atom, quantum numbers; Wave-particle duality, de Broglie hypothesis; Uncertainty principle; Qualitative quantum mechanical picture of hydrogen atom, shapes of s, p and d orbitals; Electronic configurations of elements (up to atomic number 36); Aufbau principle; Pauli’s exclusion principle and Hund’s rule; Orbital overlap and covalent bond; Hybridisation involving s, p and d orbitals only; Orbital energy diagrams for homonuclear diatomic species; Hydrogen bond; Polarity in molecules, dipole moment (qualitative aspects only); VSEPR model and shapes of molecules (linear, angular, triangular, square planar, pyramidal, square pyramidal, trigonal bipyramidal, tetrahedral and octahedral)
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<h6><i class="fa fa-book"></i> Energetics</h6>
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First law of thermodynamics; Internal energy, work and heat, pressure-volume work; Enthalpy, Hess’s law; Heat of reaction, fusion and vapourization; Second law of thermodynamics; Entropy; Free energy; Criterion of spontaneity
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<h6><i class="fa fa-book"></i> Chemical equilibrium</h6>
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Law of mass action; Equilibrium constant, Le Chatelier’s principle (effect of concentration, temperature and pressure); Significance of ΔG and ΔG<sub>0</sub> in chemical equilibrium; Solubility product, common ion effect, pH and buffer solutions; Acids and bases (Bronsted and Lewis concepts); Hydrolysis of salts.
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<h6><i class="fa fa-book"></i> Electrochemistry</h6>
<p class="ml-3">
Electrochemical cells and cell reactions; Standard electrode potentials; Nernst equation and its relation to ΔG; Electrochemical series, emf of galvanic cells; Faraday’s laws of electrolysis; Electrolytic conductance, specific, equivalent and molar conductivity, Kohlrausch’s law; Concentration cells.
</p>
<h6><i class="fa fa-book"></i> Chemical kinetics</h6>
<p class="ml-3">
Rates of chemical reactions; Order of reactions; Rate constant; First order reactions; Temperature dependence of rate constant (Arrhenius equation)
</p>
<h6><i class="fa fa-book"></i> Solid state</h6>
<p class="ml-3">
Classification of solids, crystalline state, seven crystal systems (cell parameters a, b, c, α, β, γ), close packed structure of solids (cubic), packing in fcc, bcc and hcp lattices; Nearest neighbours, ionic radii, simple ionic compounds, point defects.
</p>
<h6><i class="fa fa-book"></i> Solutions</h6>
<p class="ml-3">
Raoult’s law; Molecular weight determination from lowering of vapour pressure, elevation of boiling point and depression of freezing point.
</p>
<h6><i class="fa fa-book"></i> Surface chemistry</h6>
<p class="ml-3">
Elementary concepts of adsorption (excluding adsorption isotherms); Colloids: types, methods of preparation and general properties; Elementary ideas of emulsions, surfactants and micelles (only definitions and examples)
</p>
<h6><i class="fa fa-book"></i> Nuclear chemistry</h6>
<p class="ml-3">
Radioactivity: isotopes and isobars; Properties of α, β and γ rays; Kinetics of radioactive decay (decay series excluded), carbon dating; Stability of nuclei with respect to protonneutron ratio; Brief discussion on fission and fusion reactions.
</p>
<h6><i class="fa fa-book"></i> INORGANIC CHEMISTRY</h6>
<p class="ml-3">
Isolation/preparation and properties of the following non-metals Boron, silicon, nitrogen, phosphorus, oxygen, sulphur and halogens; Properties of allotropes of carbon (only diamond and graphite), phosphorus and sulphur.
</p>
<p class="ml-3">
Preparation and properties of the following compounds Oxides, peroxides, hydroxides, carbonates, bicarbonates, chlorides and sulphates of sodium, potassium, magnesium and calcium; Boron: diborane, boric acid and borax; Aluminium: alumina, aluminium chloride and alums; Carbon: oxides and oxyacid (carbonic acid); Silicon: silicones, silicates and silicon carbide; Nitrogen: oxides, oxyacids and ammonia; Phosphorus: oxides, oxyacids (phosphorus acid, phosphoric acid) and phosphine; Oxygen: ozone and hydrogen peroxide; Sulphur: hydrogen sulphide, oxides, sulphurous acid, sulphuric acid and sodium thiosulphate; Halogens: hydrohalic acids, oxides and oxyacids of chlorine, bleaching powder; Xenon fluorides.
</p>
<p class="ml-3">
Transition elements (3d series) Definition, general characteristics, oxidation states and their stabilities, colour (excluding the details of electronic transitions) and calculation of spin-only magnetic moment; Coordination compounds: nomenclature of mononuclear coordination compounds, cistrans and ionisation isomerisms, hybridization and geometries of mononuclear coordination compounds (linear, tetrahedral, square planar and octahedral)
</p>
<p class="ml-3">
Preparation and properties of the following compounds Oxides and chlorides of tin and lead; Oxides, chlorides and sulphates of Fe<sub>2</sub><sup>+</sup>, Cu<sub>2</sub><sup>+</sup> and Zn<sub>2</sub><sup>+</sup>; Potassium permanganate, potassium dichromate, silver oxide, silver nitrate, silver thiosulphate.
</p>
<p class="ml-3">
Ores and minerals Commonly occurring ores and minerals of iron, copper, tin, lead, magnesium, aluminium, zinc and silver.<br><br>
Extractive metallurgy Chemical principles and reactions only (industrial details excluded); Carbon reduction method (iron and tin); Self reduction method (copper and lead); Electrolytic reduction method (magnesium and aluminium); Cyanide process (silver and gold).<br><br>
Principles of qualitative analysis Groups I to V (only Ag<sup>+</sup>, Hg<sub>2</sub><sup>+</sup>, Cu<sub>2</sub><sup>+</sup>, Pb<sub>2</sub><sup>+</sup>, Bi<sub>3</sub><sup>+</sup>, Fe<sub>3</sub><sup>+</sup>, Cr<sub>3</sub><sup>+</sup>, Al<sub>3</sub><sup>+</sup>, Ca<sub>2</sub><sup>+</sup>, Ba<sub>2</sub><sup>+</sup>, Zn<sub>2</sub><sup>+</sup>, Mn<sub>2</sub><sup>+</sup> and Mg<sub>2</sub><sup>+</sup>); Nitrate, halides (excluding fluoride), sulphate and sulphide.
</p>
<h6><i class="fa fa-book"></i> ORGANIC CHEMISTRY</h6>
<p class="ml-3">
Hybridisation of carbon; σ and π-bonds; Shapes of simple organic molecules; Structural and geometrical isomerism; Optical isomerism of compounds containing up to two asymmetric centres, (R,S and E,Z nomenclature excluded); IUPAC nomenclature of simple organic compounds (only hydrocarbons, mono-functional and bi-functional compounds); Conformations of ethane and butane (Newman projections); Resonance and hyperconjugation; Keto-enoltautomerism; Determination of empirical and molecular formulae of simple compounds (only combustion method); Hydrogen bonds: definition and their effects on physical properties of alcohols and carboxylic acids; Inductive and resonance effects on acidity and basicity of organic acids and bases; Polarity and inductive effects in alkyl halides; Reactive intermediates produced during homolytic and heterolytic bond cleavage; Formation, structure and stability of carbocations, carbanions and free radicals.
<br><br>
Preparation, properties and reactions of alkanes Homologous series, physical properties of alkanes (melting points, boiling points and density); Combustion and halogenation of alkanes; Preparation of alkanes by Wurtz reaction and decarboxylation reactions.
<br><br>
Preparation, properties and reactions of alkenes and alkynes Physical properties of alkenes and alkynes (boiling points, density and dipole moments); Acidity of alkynes; Acid catalysed hydration of alkenes and alkynes (excluding the stereochemistry of addition and elimination); Reactions of alkenes with KMnO<sub>4</sub> and ozone; Reduction of alkenes and alkynes; Preparation of alkenes and alkynes by elimination reactions; Electrophilic addition reactions of alkenes with X2, HX, HOX and H<sub>2</sub>O (X=halogen); Addition reactions of alkynes; Metal acetylides.
<br><br>
Reactions of benzene Structure and aromaticity; Electrophilic substitution reactions: halogenation, nitration, sulphonation, Friedel-Crafts alkylation and acylation; Effect of o-, m- and p-directing groups in monosubstituted benzenes.
<br><br>
Phenols Acidity, electrophilic substitution reactions (halogenation, nitration and sulphonation); Reimer-Tieman reaction, Kolbe reaction.
<br><br>
Characteristic reactions of the following (including those mentioned above) Alkyl halides: rearrangement reactions of alkyl carbocation, Grignard reactions, nucleophilic substitution reactions; Alcohols: esterification, dehydration and oxidation, reaction with sodium, phosphorus halides, ZnCl<sub>2</sub>/concentrated HCl, conversion of alcohols into aldehydes and ketones; Ethers: Preparation by Williamson’s Synthesis; Aldehydes and Ketones: oxidation, reduction, oxime and hydrazone formation; aldol condensation, Perkin reaction; Cannizzaro reaction; haloform reaction and nucleophilic addition reactions (Grignard addition); Carboxylic acids: formation of esters, acid chlorides and amides, ester hydrolysis; Amines: basicity of substituted anilines and aliphatic amines, preparation from nitro compounds, reaction with nitrous acid, azo coupling reaction of diazonium salts of aromatic amines, Sandmeyer and related reactions of diazonium salts; carbylamine reaction; Haloarenes: nucleophilic aromatic substitution in haloarenes and substituted haloarenes (excluding Benzyne mechanism and Cine substitution).
<br><br>
Carbohydrates Classification; mono- and di-saccharides (glucose and sucrose); Oxidation, reduction, glycoside formation and hydrolysis of sucrose.
<br><br>
Amino acids and peptides General structure (only primary structure for peptides) and physical properties.
<br><br>
Properties and uses of some important polymers Natural rubber, cellulose, nylon, teflon and PVC.
<br><br>
Practical organic chemistry Detection of elements (N, S, halogens); Detection and identification of the following functional groups: hydroxyl (alcoholic and phenolic), carbonyl (aldehyde and ketone), carboxyl, amino and nitro; Chemical methods of separation of mono-functional organic compounds from binary mixture.
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Mathematics Syllabus For JEE [Advanced]
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<h6><i class="fa fa-book"></i> MATHEMATICS</h6>
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<i class="fa fa-star"></i> Algebra of complex numbers, addition, multiplication, conjugation, polar representation, properties of modulus and principal argument, triangle inequality, cube roots of unity, geometric interpretations. Quadratic equations with real coefficients, relations between roots and coefficients, formation of quadratic equations with given roots, symmetric functions of roots. Arithmetic, geometric and harmonic progressions, arithmetic, geometric and harmonic means, sums of finite arithmetic and geometric progressions, infinite geometric series, sums of squares and cubes of the first n natural numbers. Logarithms and their properties. Permutations and combinations, binomial theorem for a positive integral index, properties of binomial coefficients.
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<i class="fa fa-star"></i> Matrices as a rectangular array of real numbers, equality of matrices, addition, multiplication by a scalar and product of matrices, transpose of a matrix, determinant of a square matrix of order up to three, inverse of a square matrix of order up to three, properties of these matrix operations, diagonal, symmetric and skew-symmetric matrices and their properties, solutions of simultaneous linear equations in two or three variables.
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<i class="fa fa-star"></i> Probability Addition and multiplication rules of probability, conditional probability, Bayes Theorem, independence of events, computation of probability of events using permutations and combinations.
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<i class="fa fa-star"></i> Trigonometric functions, their periodicity and graphs, addition and subtraction formulae, formulae involving multiple and sub-multiple angles, general solution of trigonometric equations. Relations between sides and angles of a triangle, sine rule, cosine rule, half-angle formula and the area of a triangle, inverse trigonometric functions (principal value only)
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<p class="ml-3">
<i class="fa fa-star"></i> Analytical Geometry Two dimensions: Cartesian coordinates, distance between two points, section formulae, shift of origin. Equation of a straight line in various forms, angle between two lines, distance of a point from a line; Lines through the point of intersection of two given lines, equation of the bisector of the angle between two lines, concurrency of lines; Centroid, orthocentre, incentre and circumcentre of a triangle. Equation of a circle in various forms, equations of tangent, normal and chord. Parametric equations of a circle, intersection of a circle with a straight line or a circle, equation of a circle through the points of intersection of two circles and those of a circle and a straight line. Equations of a parabola, ellipse and hyperbola in standard form, their foci, directrices and eccentricity, parametric equations, equations of tangent and normal. Locus problems. Three dimensions: Direction cosines and direction ratios, equation of a straight line in space, equation of a plane, distance of a point from a plane.
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<i class="fa fa-star"></i> Differential Calculus Real valued functions of a real variable, into, onto and one-to-one functions, sum, difference, product and quotient of two functions, composite functions, absolute value, polynomial, rational, trigonometric, exponential and logarithmic functions. Limit and continuity of a function, limit and continuity of the sum, difference, product and quotient of two functions, L’Hospital rule of evaluation of limits of functions. Even and odd functions, inverse of a function, continuity of composite functions, intermediate value property of continuous functions. Derivative of a function, derivative of the sum, difference, product and quotient of two functions, chain rule, derivatives of polynomial, rational, trigonometric, inverse trigonometric, exponential and logarithmic functions. Derivatives of implicit functions, derivatives up to order two, geometrical interpretation of the derivative, tangents and normals, increasing and decreasing functions, maximum and minimum values of a function, Rolle’s theorem and Lagrange’s mean value theorem.
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<i class="fa fa-star"></i> Integral Calculus Integration as the inverse process of differentiation, indefinite integrals of standard functions, definite integrals and their properties, fundamental theorem of integral calculus. Integration by parts, integration by the methods of substitution and partial fractions, application of definite integrals to the determination of areas involving simple curves. Formation of ordinary differential equations, solution of homogeneous differential equations, separation of variables method, linear first order differential equations.
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<i class="fa fa-star"></i> Vectors Addition of vectors, scalar multiplication, dot and cross products, scalar triple products and their geometrical interpretations.
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