Saturday, May 31, 2008

IIT JEE June 1 st Weekly Cumulative Practice Test

1. State whether the statement is true or false

A projectile fired form the ground follows a parabolic path. The speed of the projectile is minimum at the top of its path.


2. The number of vectors of unit length perpendicular to vectors a = (1,1,0) and b = (0,1,1) is

a. three
b. two
c. one
d. infinite
e. none of these






3. Let z1 and z2 be complex numbers such that z1≠z2 and |z1| = |z2|. If z1 has positive real part and z2 has negative imaginary part, then (z1+z2)/(z1-z2) may be

a. real and positive
b. zero
c. real and negative
d. purely imaginary
e. none of these



4. If two compounds have the same empirical formula but different molecular formulae they must have ------

a. different percentage composition
b. different molecular weight
c. same viscosity
d. same vapour density

Tuesday, May 27, 2008

Solutions for May 25 Practice set

covers topics
Complex Numbers
Vectors (common to physics and mathematics)
Mole concept

1. The inequality |z-4|<|z-2| represents the region given by

a. Re(z)>0
b. Re(z)<2
c. Re(z)<0
d. none of these

Answer (d)

Answer

Let z = x+iy then

|z-4|<|z-2|

=> |z-4²|<|z-2|²
=> (x-4) ²+y²<(x-2) ²+y²
=> -8x+16<-4x+4
=>12<4x
=> x>3
Means Re(z)>3





2. The points with the position vectors 60i +3j, 40i-8j, ai-52j are collinear if

a. a = -40
b. a = 40
c. a = 20
d. none of these



If the vectors x and y are collinear,
x = py
If we take given position vectors m.n,o, it implies
o-m = p(n-m)

[(ai-52j)-( 60i +3j)] = k[(40i-8j)-( 60i +3j)]

=> (a-60)i – 55j = k(-20i-11j)
=> a-60 = -20k and -55 = -11k
=> k = 55/11
=> a = -20*5 + 60
=> a = -40


3. One molal solution is one that contains one mole of a solute in :

a. 1000 g of the solvent
b. one litre of the solvent
c. one litre of the solution
d. 22.4 litres of the solution

Answer (a)

As per the definition, molality is amount of solute per kg of solvent.

Saturday, May 24, 2008

May 25 2008 Question set 1

covers topics
Complex Numbers
Vectors (common to physics and mathematics)
Mole concept

1. The inequality |z-4|<|z-2| represents the region given by

a. Re(z)>0
b. Re(z)<2
c. Re(z)<0
d. none of these


2. The points with the position vectors 60i +3j, 40i-8j, ai-52j are collinear if

a. a = -40
b. a = 40
c. a = 20
d. none of these

3. One molal solution is one that contains one mole of a solute in :

a. 1000 g of the solvent
b. one litre of the solvent
c. one litre of the solution
d. 22.4 litres of the solution


For solution see
http://iit-jee-nrao.blogspot.com/2008/05/solutions-for-may-25-practice-set.html

Tuesday, January 8, 2008

New Book for Physical Chemistry IIT JEE

TMH published a new book

Physical Chemistry : For IIT JEE & other Engineering Entrance Examinations

--------------------------------------------------------------------------------

PREM DHAWAN, Delhi Public School, R K Puram, Delhi



ISBN: 0070655461
Copyright year: 2008
Table of Contents




1. Stoichiometry - I
2. Gaseous State
3. Atomic Structure
4. Oeriodic Properties
5. Chemical Bonding
6. Chemical Thermodynamics
7. Chemical Kinetics
8. Chemical Equilibrium
9. Ionic Equilibrium
10. Stoichiometry - II: Redox Reaction and Oxidation Numbers
11. Solutions
12. Electrochemistry
13. The Solid State
14. Surface Chemistry


Book Preface


--------------------------------------------------------------------------------
The objective of this book is to make the study of physical chemistry systematic and enjoyable. Apart from a thorough grounding in the fundamental concepts, emphasis is also on enhancing your ability to solve problems and to use relationships between concepts and information that would strengthen your mastery of the subject.

The book is tailored to meet the requirements of those appearing in IIT-JEE entrance and similar engineering entrance examinations and also classes XI & XII students.

As you begin reading this book, you will soon see that there are many examples given and each topic ends with a practice test along with their solutions. A large number of exercises are given at the end of each chapter. Written in a simple and systematic manner, the books' highlights are as follows:

A large number of examples to supplement the text
Practice test at the end of each topic
Large number of chapter-end exercises divided into
(i) Subjective Problems (ii) Multiple choice questions with one answer correct (iii) Multiple choice questions with multiple correct answers (iv) Fill in the blanks, True/False questions, Match the following (v) A special section on comprehension-based questions.
With such an exhaustive coverage of the topic, I am sure that students would find the book an ideal companion to understand and master the subject.

You can download solution manual of the book from

http://highered.mcgraw-hill.com/sites/0070655461/student_view0/solution_manual.html

For study guides on various chapters of JEE Chemistry visit

www.iit-jee-chemistry.blogspot.com

Sunday, January 6, 2008

My IIT JEE Blogs

www.iit-jee-chemistry.blogspot.com

www.iit-jee-physics.blogspot.com

www.iit-jee-maths.blogspot.com

TIPS for JEE

The IIT/JEE : there is a difference between your preparations for CBSE exams and IIT/JEE. Here what matter most is not the quantum of books one has grasped or gone through. But the no. of correct answers, he gets. Students must change their mind sets while appearing for IIT/JEE.Here you have to clear the section cut off of the subject.Trends in the last 2 years show that the section cut off for Physic, Chemistry and Maths stands at 30, 35 and 25 percent. If a student gets this percentage of the questions correct, they have all chances to get a seat.

Never give priority to any section during preparation. While Maths, physic and Chemistry stnd in the hierarchy of difficulty.Students must not ignore chemistry. It may seem boring nd but it is a rewarding section.

Source:

http://fromprincipaloffice.blogspot.com/2008/01/tracking-cracking-engineering-entexams.html