JEE 2013 Preparation – Week 4

Following is the plan for this week :

MATHEMATICS :

As soon as you are done with Circles, start solving worked out examples of Conic Section – Parabola. The most complicated questions in Coordinate Geometry are from Conic Section – Parabola, Ellipse and Hyperbola. So be thorough with these chapters. Talking about Parabola, do not leave the “Prove that” questions of this chapter because they will help you solve various other questions. It will also help to memorize the results (the relations you are required to prove) of these “Prove that” questions so that you may directly apply these results in other questions. Parabola should eat up about 10 hours of your time.

The same kind of preparation strategy applies to Conic Section – Ellipse and Conic Section – Hyperbola. After going through the “Summary of Results”, solve all the worked out examples and exercise questions including the new pattern questions from Eduwiser’s Coordinate Geometry by Prof. K. C. Sinha. You do not need to solve questions from other sources at this point of time. These two chapters will take additional 15 hours to complete.

For all the chapters under Conic Section, memorize the equations of tangent, normal, chord of contact, etc. in parametric form. In most of the questions in these chapters, drawing a figure and taking coordinates of points in corresponding parametric form are the first two steps in the right direction. Whatever the case, you will always make the questions simpler if you prefer assuming parametric points on the parabola, ellipse or hyperbola instead of assuming the normal coordinates (x, y) and substituting x and y into the equation of parabola, ellipse or hyperbola. One must also note that you will land up with the same correct answer whether you choose the parametric coordinates or the conventional (x, y); just that with (x, y), you will increase the number of equations by one and the complexity of all the equations.  

CHEMISTRY :

This week in Physical Chemistry, we will aim to complete the following topics from Gaseous and Liquid States - 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 velocities and their relation with temperature; Law of partial pressures; Vapor pressure and Diffusion of gases.

Complete these topics from Dr. P. Bahadur’s Numerical Chemistry by solving the worked out examples only. Also solve only the worked out examples from Dr. R. C. Mukherjee’s Physical Chemistry. Do not ponder over your doubts in these topics too much. Ask your teacher/friends to clear your doubts as soon as you have them. This should take about 10 hours of your time. Practice new pattern questions from your Coaching Classes material. This will take another 4 hours. Do not go about looking at worked out examples or exercises with subjective questions in your Coaching Classes material.

In Organic Chemistry, finish off the following : 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. You can again study these topics from your Coaching Classes course material and whatever you do not understand from Morrison and Boyd. There is a book on reaction mechanisms by Prof. Sanyal. This book is rare but if you can get hold of it from somewhere, there is nothing like it. The explanations in this book are terse but useful and there are a variety of reactions discussed. Allot about 10 hours for the above topics. There is no need to solve questions from any study material that you may have.

For Inorganic Chemistry, you should finish 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. You can cover these topics from your NCERT books and your Coaching Classes material in about 6 hours. There is no need to solve questions from anywhere on these topics but do so if you have time.

PHYSICS :

Finish off pending portion of Modern Physics because the chapters under Modern Physics are important. You could take an hour to do so.

After you are done with Modern Physics, start Current Electricity from Prof. H. C. Verma’s Concepts of Physics – Vol. 2. Go through the worked out examples from it and solve each question from the exercise. Every book has its own method of solving questions. So, do not get bogged down if you are not comfortable using the method Prof. Verma uses in his books. You may come up with yours. One strategy that I found useful in this chapter was assuming current ‘i’ flowing through the circuit and then dividing into ‘i₁’ and ‘i – i₁’. Go through the entire circuit by different unique paths writing out potential equations to get a set of equations in unknown variables. Solve and get the value of each variable. No matter how complicated the question is, you will always come to the right answer if you write the equations and solve them correctly.

You should be able to finish this chapter in not more than 8 hours. Another 6 hours should be given to solving questions – subjective and new pattern questions, from your Coaching Classes course material.

This should pack your week with enough work. Do not get exhausted. Just be patient and continue slogging your guts out – after all, it is just for another 7 months.

Until next week, all the best !