IIT-JEE Forum - new forum threads http://iit-jee-forums.wikidot.com/forum/start Threads in forums of the site "IIT-JEE Forum" - IIT-JEE and Olympiad support http://iit-jee-forums.wikidot.com/forum/t-57904 11 http://iit-jee-forums.wikidot.com/forum/t-57904/11 11 Mon, 05 May 2008 09:40:36 +0000 adiarya 112745 (1)
{ \begin{pspicture}(0,-3.44)(7.26,3.44) \psdiamond[linewidth=0.04,dimen=outer](2.27,0.0)(2.27,3.44) \psdiamond[linewidth=0.04,dimen=outer](5.06,0.11)(0.76,0.05) \psdiamond[linewidth=0.04,dimen=outer](5.23,-0.16)(2.05,2.0) \end{pspicture} }
]]> http://iit-jee-forums.wikidot.com/forum/t-54152 NEW FORUM http://iit-jee-forums.wikidot.com/forum/t-54152/new-forum Join there immediately :) Thu, 17 Apr 2008 13:53:48 +0000 madnessweasley 112829 the new forum has been changed to [http://iit-redefined.theforum.name/index.php] . Join there immediately :) it has a lot of cool new features :)

]]> http://iit-jee-forums.wikidot.com/forum/t-54106 Optically Active http://iit-jee-forums.wikidot.com/forum/t-54106/optically-active Thu, 17 Apr 2008 05:35:41 +0000 Baba001 112771 Can a compound be optically active and yet possess an axis of symmetry? Thats what many institutes claim.

]]> http://iit-jee-forums.wikidot.com/forum/t-54104 What will you be doing? http://iit-jee-forums.wikidot.com/forum/t-54104/what-will-you-be-doing Seniors only :P Thu, 17 Apr 2008 05:24:20 +0000 Baba001 112771 Now that the big one JEE is over, what are your plans. What other entrances will you be writing?

I'm writing AIEEE, BITSAT and CMI Entrance. Also planning to learn loads of programming and study some math (discrete math) and physics.

]]> http://iit-jee-forums.wikidot.com/forum/t-54102 Sets http://iit-jee-forums.wikidot.com/forum/t-54102/sets Damn easy, only for currently entered 12thies and below Thu, 17 Apr 2008 05:17:43 +0000 madnessweasley 112829 Set A has twice the number of elements as set B and also, it has x subsets more than set B. Its given that set C has lesser no. of elements than set B and has 15 subsets less than set B. Find x.

PS: Dont say "Here it is!" :D :D

]]> http://iit-jee-forums.wikidot.com/forum/t-54101 IIT 2008 OBC Quota Implementation http://iit-jee-forums.wikidot.com/forum/t-54101/iit-2008-obc-quota-implementation 9 Percent is the verdict Thu, 17 Apr 2008 05:12:03 +0000 Baba001 112771

Institutes of excellence — the seven Indian Institutes of Technology; Institute of Technology, Banaras Hindu University; and Indian School of Mines, Dhanbad — have decided to stagger the implementation of the other backward classes quota over the next three years to achieve the mandatory 27 per cent reservation.

To make room for candidates from the OBC quota, these institutes will earmark 9 per cent of the total seats for them and increase the overall number of seats by 13 per cent from the present academic year.

Announcing the decision here on Wednesday after a meeting of the Directors of the IITs, Director of IIT-Delhi Dr. Surinder Prasad said: “Starting this year, 9 per cent of seats in all the seven IITs, IT BHU and ISM Dhanbad will be reserved for OBC students.

The percentage of seats will be gradually increased to attain 27 per cent OBC reservation by Joint Entrance Exam (JEE) 2010, based on the proposals submitted by individual institutions to the Empowered Committee and accepted by the Central government.”

The three new IITs — Bihar, Rajasthan and Hyderabad — will, however, implement 27 per cent reservation for OBCs and 22.5 per cent reservation for the Scheduled Castes and Scheduled Tribes from JEE 2008 onwards. The total intake of students in these three new IITs will be 120 each.

Assuring that the institutes will take the required steps to ensure that their position as centres of excellence is maintained, Director of IIT-Guwahati Gautam Barua said there was, however, a need to expeditiously release additional funds for the institutes.

“To meet the expenses generated by the increase in the number of seats and the infrastructure, the Central government will have to expedite the process of allocating more resources and making the remunerations more attractive,” he said.

The IITs currently face a shortage of faculty and with the increase in the number of seats, the number of faculty positions will be doubled.

Referring to the selection criterion for OBC students, Dr. Prasad said: “The cut-off for OBC category students will be 90 per cent of the cut-off of general category students in the JEE 2008 examination.”

Eligible students in the OBC category will, however, need to certify that they do not belong to the creamy layer.

Source: http://www.hindu.com/2008/04/17/stories/2008041755941200.htm

Well, it looks nice that the number of seats are increasing but what the final effect will be only god can say.

]]> http://iit-jee-forums.wikidot.com/forum/t-54000 Inequality-2?? http://iit-jee-forums.wikidot.com/forum/t-54000/inequality-2 not the conventional type.... Wed, 16 Apr 2008 17:47:07 +0000 hell_ever_ 113021 Prove for positive reals a,b that

\frac {a+b}{2}-\sqrt {ab}\geq \frac {(a-b)^2(a+3b)(b+3a)}{8(a+b)(a^2+6ab+b^2)}

]]> http://iit-jee-forums.wikidot.com/forum/t-53998 JEE resources http://iit-jee-forums.wikidot.com/forum/t-53998/jee-resources some useful sites. Wed, 16 Apr 2008 17:39:35 +0000 Da Vinci 112782 testhorizon.com
-nice questions in some chapters of chem

engineerprep.com
-free online tests (from the famous resonance institute of kota)

locuseducation.org
-the best study material for JEE………its free…

]]> http://iit-jee-forums.wikidot.com/forum/t-53996 Field and Charge http://iit-jee-forums.wikidot.com/forum/t-53996/field-and-charge Gauss law? Wed, 16 Apr 2008 17:19:41 +0000 Baba001 112771 In a region, Electric field is a defined as:

\vec{E} = \frac{x \hat{i} + y \hat{j}}{x^2 + y^2}
Find the total charge enclosed within a sphere of radius 'a' with its centre at the origin.

Also try to generalize it for a sphere of the type (x-h)^2 + (y-k)^2 = a^2

]]> http://iit-jee-forums.wikidot.com/forum/t-53985 number theory http://iit-jee-forums.wikidot.com/forum/t-53985/number-theory Try this one :D Wed, 16 Apr 2008 16:18:01 +0000 madnessweasley 112829 A 1. Show that if x, y, z are positive integers, then (xy + 1)(yz + 1)(zx + 1) is a perfect
square if and only if xy + 1, yz + 1, zx + 1 are all perfect squares.

Source: Shall be revealed later if i want to :D

]]> http://iit-jee-forums.wikidot.com/forum/t-53976 Pigeon Hole Principle http://iit-jee-forums.wikidot.com/forum/t-53976/pigeon-hole-principle Plz check this -- Wed, 16 Apr 2008 15:58:39 +0000 siddhantshah 112831 I just read the Pigeon Hole Principle and have a few questions of which I could make out neither head nor tail :(

1. 17 ants are roaming over a chessboard of area 8x8 (64 sq. inches) then atleast 2 of them mustr be always closer than :

(a) 2 inches (b)2\sqrt{2} inches (c) \sqrt{2} (d) none

2. Out of (m+1) given integers 2 of them can be chosen such that their :

(a) difference is divisible by m (b) sum is div. by m
(c) product is div. by m (d) none

3. Justify giving arguments that there are 2 people in Chandigarh having same date of birth
(donno if Chandigarh has any importance)

]]> http://iit-jee-forums.wikidot.com/forum/t-53941 Forum Name! http://iit-jee-forums.wikidot.com/forum/t-53941/forum-name Suggestions and Poll Wed, 16 Apr 2008 13:39:01 +0000 Baba001 112771 Do you feel IIT JEE Support feels too bland? Well, how about a Nice Suffix to IIT-JEE? Tis what me and Pardesi were discussing. We have some options, but if you think of innovative suffixes, you are most welcome to post them. Remember, it should be academically oriented but cool at the same time and no plagarism like IIT JEE Knight Riders or SuperKings. :D

Nominees:

IIT JEE Challengers
IIT JEE Crackers
IIT JEE Zero Friction
IIT JEE Black Hole
IIT JEE Infinatum \infty
IIT JEE Zone
IIT JEE Pitstop
IIT JEE Redefined!

Well give your suggestionS!

]]> http://iit-jee-forums.wikidot.com/forum/t-53920 Easy one http://iit-jee-forums.wikidot.com/forum/t-53920/easy-one Probably the worst and easiest problem you have seen (own) Wed, 16 Apr 2008 12:16:02 +0000 madnessweasley 112829 \text{Let a general term of a series being defined as :}

a_{i+1} = 3 \cdot a_{i} + 5 , a_{i} = 2 \cdot k ,

a_{i+1} = 4 \cdot a_{i} , a_{i} = 2 \cdot k + 1

Find the number of perfect squares in this infinite series if its given that a_{0} = 1 .
[[/math]]

PS: How to left align this thing?

Rohit: Is this what you wanted?

]]> http://iit-jee-forums.wikidot.com/forum/t-53913 ::Book Resources:: http://iit-jee-forums.wikidot.com/forum/t-53913/book-resources A Compendium of excellent Book Resources Wed, 16 Apr 2008 11:48:56 +0000 Baba001 112771 Well, I thought we could have a sticky with various book (and ebook) resources for others to use.

PHYSICS
Book Name Author Publisher Price
Fundamentals of Physics Resnick, Halliday, Walker
Concepts of Physics (I & II) H.C.Verma BVB
Problems in General Physics I.E.Irodov CBS Publishers
Mechanics Dirac
Introduction to Electrodynamics D.J Griffith
Optics Eugene Hecht
MATHEMATICS
Book Name Author Publisher Price
Problem Solving Strategies Arthur Engel
Combinatorics for Undergraduates Titu Andreescu & Zuming Feng
Challenges and Thrills of Pre College Mathematics BJV,CRP,CLR
Adventures in Maths Shailesh Shirali
An Excursion in Maths BP
Higher Algebra Bernald Child
Functional Equations B.J Venkatachala
Calculus in One Variable I.A Maron CBS Publishers
Calculus Tom Apostol Wiley
CHEMISTRY
Book Name Author Publisher Price
Organic Chemistry Morrison & Boyd
Concise Inorganic Chemistry J.D.Lee

Free E-Books & Study Material (100% Legal)

Mathematics

Problems in Elemental Number Theory - Peter and Hojo Lee

Footnotes

Coming Soon: Books for Informatics/Computers.

]]> http://iit-jee-forums.wikidot.com/forum/t-53910 Recommend book http://iit-jee-forums.wikidot.com/forum/t-53910/recommend-book A good one Wed, 16 Apr 2008 11:43:30 +0000 Conjurer 112915 I need a good level calculus book (JEE level and lil more).SO pour in some suggestions.I already have TMH and AD Gupta.

]]> http://iit-jee-forums.wikidot.com/forum/t-53896 Suggestion http://iit-jee-forums.wikidot.com/forum/t-53896/suggestion Regarding "lighting up" of threads and online user notifications. Wed, 16 Apr 2008 11:01:36 +0000 TheWerewolf 113119 1) The thread should get activated as soon as a new message gets posted in it.

2) There should be a option for knowing if a user is online or offline.

]]> http://iit-jee-forums.wikidot.com/forum/t-53883 Easy Question http://iit-jee-forums.wikidot.com/forum/t-53883/easy-question Polynomial Functional Wed, 16 Apr 2008 09:21:17 +0000 Baba001 112771 Prove that there exists no polynomial function f(x) with integral co-efficients such that f(7)=11 and f(11) = 13.

]]> http://iit-jee-forums.wikidot.com/forum/t-53878 Theoritical Physics http://iit-jee-forums.wikidot.com/forum/t-53878/theoritical-physics Friends, who are not romans, and countrymen, (u most have heard those lines, Antonie said them in Julius Caeser ) i write here to ask for help in my struggle and not to demolish it.......................................................................... Anyways, read the post to help me. Wed, 16 Apr 2008 08:54:56 +0000 Karan Singh 112909 Good afternoon !

Friends,

I want to become a theoretical physicist and do research in relativistic quantum mechanics. ( and win Nobel Prize in physics, joking ……. )

However, in the prevailing conditions, this is impossible. I know I am most probably going to get admitted in an engineering college after +2, quite sure.

But, i want to continue my struggle in field of physics.

So kindly suggest me on how to pursue physics parallely.

Is their any institute which offers correspondence course kind of a thing in theoretical physics ?
I am not interested in earning myself a degree, rather, gaining the knowledge required to ignite my future ambitions.

All kind of helps are welcomed.

Karan Singh.

]]> http://iit-jee-forums.wikidot.com/forum/t-53871 Stochiometry problem http://iit-jee-forums.wikidot.com/forum/t-53871/stochiometry-problem an elementary problem with an exceptional application part. Wed, 16 Apr 2008 07:45:21 +0000 Karan Singh 112909 A 1.000 g of Cuprous oxide ( Cu2O ) and cupric oxide ( CuO ) is taken and is quantitatively reduced to 0.839 g of metallic copper ( Cu ). If atomic weight of Cu is 64.5 and atomic weight of O is 16 ( which is true , of course ! ), find the weight of CuO in the sample.

NOTE : the above problem has been inspired from the example 1.10 of University Chemistry, by Bruce H. Mahan.

]]> http://iit-jee-forums.wikidot.com/forum/t-53844 Easy question http://iit-jee-forums.wikidot.com/forum/t-53844/easy-question just to test latex Wed, 16 Apr 2008 04:56:53 +0000 TheWerewolf 113119 (1)
\text{If }f(x)=x+\displaystyle\int^1_0 (xy^2+x^2y)f(y)\,dy \text{ and } f(x)=x+\frac{(61x+80x^2)}{\lambda} \ \text{Then the value of }\lambda \text{ must be?}
]]> http://iit-jee-forums.wikidot.com/forum/t-53833 The hottest question http://iit-jee-forums.wikidot.com/forum/t-53833/the-hottest-question Jee 2008 Cutoff Wed, 16 Apr 2008 04:14:17 +0000 TheWerewolf 113119 Please share in your views regarding cutoffs and ranks , pls don't copy paste from other forums , your prediction should be on the basis of your study of the topic like knowing the marks most of your friends are getting or what are your teachers saying.

Latest update : V.K. Bansal ~~ 150
Ashish Arora ~~180 to 200 [too high in my opinion]

]]> http://iit-jee-forums.wikidot.com/forum/t-53732 ORGANIC SYNTHESIS http://iit-jee-forums.wikidot.com/forum/t-53732/organic-synthesis one of carcul's problems Tue, 15 Apr 2008 18:40:11 +0000 swadesi 112935

Compound A have the following characteristics:

molecular formula C_{4}H_{7}Br; only two signals in protonic NMR spectrum,
one of them near 6.0 ppm; in the infrared spectrum, there are two medium bands, one at 1670 cm-1 and another near 815 cm-1.
In a synthesis of compound E, the following sequence of reactions was used, starting from A:

A + Mg/THF \to B

B + 2,2 - dimethyloxirane\longrightarrow C

C + Hg(OAc)_{2}\, (anhydrous)\longrightarrow D

D + NaBH_{4}\longrightarrow E

Find the structures of compounds A through E.

By Carcul

]]> http://iit-jee-forums.wikidot.com/forum/t-53728 Binomial Theorem http://iit-jee-forums.wikidot.com/forum/t-53728/binomial-theorem First thread ! Tue, 15 Apr 2008 18:04:33 +0000 TheWerewolf 113119 For integer n>1 ,the digit at the units place in the number

(1)
\displaystyle\sum_{r=0}^{100}r!+2^{2^{n}}

is?

]]> http://iit-jee-forums.wikidot.com/forum/t-53727 Problem 3 http://iit-jee-forums.wikidot.com/forum/t-53727/problem-3 Crack this!! Tue, 15 Apr 2008 17:58:58 +0000 Baba001 112771 \tan 15 \tan 25 \tan 35 = \tan \theta

Solve for \theta.

Looks simple eh?1

Footnotes
]]> http://iit-jee-forums.wikidot.com/forum/t-53721 Will the IPL make it big? http://iit-jee-forums.wikidot.com/forum/t-53721/will-the-ipl-make-it-big A light hearted debate Tue, 15 Apr 2008 17:20:18 +0000 Baba001 112771 The Indian Premier League, premiers on April 18th. The expectations are high, the money tremendous and the names huge - Shahrukh, Preity, Ambani, Mallya, you name it they are all there. And it is impossible for ordinary people like us to imagine the money involved. Crores appear as pocket money. The hype is amazing, the news channels just can't seem to get enough of it. And the controversy is just enough to attract people with Shoaib and Journalists problem.

But the big question is, will the IPL succeed. The 20-20 hailed by Siddhu as "Miniskirt" is more entertainment than cricket, true, but will our people accept this. The ICL is doing very decently because at the core of it, is cricket. But IPL teams like Kolkatta or Punjab are only shadows of their more famous owners. Looking at the huge money, its doubtful whether the owners will be able to cash in on the demand. And if it fails?……..

What is your opinion on this? I saw it will flop. Simply because the hype is way too too much. And CRICKET is not the underlying factor here, its just entertainment. :(

]]> http://iit-jee-forums.wikidot.com/forum/t-53720 Inequality-1 http://iit-jee-forums.wikidot.com/forum/t-53720/inequality-1 one of my favorites...give as many solutions as you can Tue, 15 Apr 2008 17:19:31 +0000 pardesi 112306 (1)
\sum \frac{a}{\sqrt{a^{2}+8bc}} \geq 1,a,b,c \in \mathbb{R}^{+}
]]> http://iit-jee-forums.wikidot.com/forum/t-53719 Long Distance/Summer Course http://iit-jee-forums.wikidot.com/forum/t-53719/long-distance-summer-course Details?? Tue, 15 Apr 2008 17:09:11 +0000 Baba001 112771 I will most probably take up engineering in some college this year. But however I am passionate about maths and physics, especially physics. Is there some long distance or postal or summer programme in physics, that I can participate in, other than KVPY cause I'm not a scholar. Any course that IISER has?

]]> http://iit-jee-forums.wikidot.com/forum/t-53715 New General Acads Forum http://iit-jee-forums.wikidot.com/forum/t-53715/new-general-acads-forum Suggestion :) Tue, 15 Apr 2008 16:36:38 +0000 Baba001 112771 Can we have a forum for general academic discussion? Like College Discussion and Research in india and the like.

]]> http://iit-jee-forums.wikidot.com/forum/t-53687 Electro+Mechanics http://iit-jee-forums.wikidot.com/forum/t-53687/electro-mechanics Challenge Tue, 15 Apr 2008 15:35:54 +0000 pardesi 112306 Two small balls of mass m and bearing charge q are connected by a non-conducting string of length 2l.At a certain instant,the middle of the string starts moving at a constant speed v perpendicular to the direction of thread at that instant.Determine the minimum distance d between the balls

]]> http://iit-jee-forums.wikidot.com/forum/t-53683 boycott http://iit-jee-forums.wikidot.com/forum/t-53683/boycott Tue, 15 Apr 2008 15:14:41 +0000 hell_ever_ 113021 i boycott the moderators union. only 12th std pass students are here. we 12th std students should also be represented.
:-D
:-D
:-D

]]> http://iit-jee-forums.wikidot.com/forum/t-53673 Algebra Problem 1 http://iit-jee-forums.wikidot.com/forum/t-53673/algebra-problem-1 System Tue, 15 Apr 2008 14:15:10 +0000 profdrraghav 112937 Solve the system:

(1)
x_{1} + x_{2} + x_{3} = 2
(2)
x_{1}^{2} +x_{2}^{2} +x_{3}^{2} =14
(3)
x_{1}^{3} +x_{2}^{3} +x_{3}^{3} =20
]]> http://iit-jee-forums.wikidot.com/forum/t-53670 Lighter side of math http://iit-jee-forums.wikidot.com/forum/t-53670/lighter-side-of-math Thought I could share this Tue, 15 Apr 2008 14:02:25 +0000 hsbhatt 112818 Read this article: http://komplexify.com/math/humor_pure/XEqualsEverything.html

In fact http://komplexify.com/math/humor.html has some of the best jokes on math I have seen other than madness's comments ;)

]]> http://iit-jee-forums.wikidot.com/forum/t-53668 predict http://iit-jee-forums.wikidot.com/forum/t-53668/predict shud be easy Tue, 15 Apr 2008 13:50:31 +0000 swadesi 112935 R2CO + ClCH2CO2C2H5 in presence of C2h5ona

]]> http://iit-jee-forums.wikidot.com/forum/t-53667 Solve this http://iit-jee-forums.wikidot.com/forum/t-53667/solve-this Tue, 15 Apr 2008 13:42:58 +0000 The Inventor 112959 If cosA=mcosB
and

(1)
cot{\frac{A+B}{2}}=ktan{\frac{B-A}{2}}

find value of k in terms of m

]]> http://iit-jee-forums.wikidot.com/forum/t-53666 Find solutions http://iit-jee-forums.wikidot.com/forum/t-53666/find-solutions Tue, 15 Apr 2008 13:40:18 +0000 The Inventor 112959 Find all positive integral solutions of

(1)
tan^{-1}{x} + cos^{-1}{\frac{y}{\sqrt{1+y^2}}=sin^{-1}{3/10}
]]> http://iit-jee-forums.wikidot.com/forum/t-53662 Geometry problem 1 http://iit-jee-forums.wikidot.com/forum/t-53662/geometry-problem-1 nice result Tue, 15 Apr 2008 13:15:23 +0000 profdrraghav 112937 The following is a nice result:
If l be a line that biscts both the area and the perimeter of a \Delta ABC then show that l passes through the incenter of the triangle.

]]> http://iit-jee-forums.wikidot.com/forum/t-53658 Online tests http://iit-jee-forums.wikidot.com/forum/t-53658/online-tests Tue, 15 Apr 2008 12:52:36 +0000 madnessweasley 112829 Can people here post links to free online sample tests for aieee and bitsat? It would benefit to do more papers now i believe after writing the jee :) Thanks in advance.

]]> http://iit-jee-forums.wikidot.com/forum/t-53656 Features of Wikidot http://iit-jee-forums.wikidot.com/forum/t-53656/features-of-wikidot Wow!!!! Tue, 15 Apr 2008 12:48:18 +0000 Baba001 112771 http://www.wikidot.com/doc:wiki-syntax
Wow, I have to admit. Some of the posting options in Wikidot are simply superb! Especially The Latexing and the brilliant editor and tool bar.

But the AJAX is simply awesome. AJAX incase you didn't know stands for Asynchronous Javascript and XML. In simple terms, the when you click on a link, the whole webpage doesn't load but its instantaneous. Though this is a wiki site, everything else is awesome. Kudos to Wikidot!

Great choice Mr.KVS (Rowdy).

]]> http://iit-jee-forums.wikidot.com/forum/t-53654 Conceptual Question http://iit-jee-forums.wikidot.com/forum/t-53654/conceptual-question About Magnetic Field and Frame of Reference Tue, 15 Apr 2008 12:34:00 +0000 Baba001 112771 An Interesting Situation. A magnetic field exists in a bounded region in gravity-free space. A man and a charge simultaneously enter it with the same velocity perpendicular to the field.

Case I: WRT Ground
Man goes straight and leaves the field region soon. But Charge will only go in a circle and will be behind the man.

Case II: WRT Man
Man is ofc a non-inertial frame. So wrt him charge is @ rest so no magnetic force acts on it. And both will be always next to each other.

Whats your say on this?

Edit: Cha… wanted to be the first to post in physics forum. :(

]]> http://iit-jee-forums.wikidot.com/forum/t-53652 AOPS discussion http://iit-jee-forums.wikidot.com/forum/t-53652/aops-discussion something....... Tue, 15 Apr 2008 12:29:52 +0000 rituraj007 112944 so finally we have a networking which will not go down that frequently—i hope

]]> http://iit-jee-forums.wikidot.com/forum/t-53648 speed of image http://iit-jee-forums.wikidot.com/forum/t-53648/speed-of-image a question relating to speed of image in a convex mirror. to know more, click on the above. Tue, 15 Apr 2008 12:00:34 +0000 Karan Singh 112909 An object is placed at a distance of 20 cm from a convex mirror of focal length 20 cm. If the object is made to move away from the mirror with a speed of 5 cm/s, find the speed of image with respect to pole of the mirror.

plz justify ur answer as well.

]]> http://iit-jee-forums.wikidot.com/forum/t-53627 smileys http://iit-jee-forums.wikidot.com/forum/t-53627/smileys Tue, 15 Apr 2008 10:23:00 +0000 hash_include 112898 dearest admin pardesi :D
is there any possibility that you can introduce smileys on this forum?? It will make it more colourful :D
the one's on AoPS are the best! :)

]]> http://iit-jee-forums.wikidot.com/forum/t-53626 tesht. http://iit-jee-forums.wikidot.com/forum/t-53626/tesht Tue, 15 Apr 2008 10:17:52 +0000 hash_include 112898 H

E

L

L

O
!!
(1)
\text {In statistical mechanics, Bose-Einstein statistics (or more colloquially B-E statistics) determines the statistical distribution of identical indistinguishable bosons over the energy states in thermal equilibrium. }
(2)
\text{The expected number of particles in an energy state i for B-E statistics is:} n_i = \frac {g_i} {e^{(\varepsilon_i-\mu)/kT} - 1}

SOURCE:
\text{ \large W \Large I \LARGE K \huge I \Huge P \huge E \LARGE D \Large I \large A }

]]> http://iit-jee-forums.wikidot.com/forum/t-53598 testing testing 1,2,3 ........... :D http://iit-jee-forums.wikidot.com/forum/t-53598/testing-testing-1-2-3:d Tue, 15 Apr 2008 06:03:42 +0000 slogger 112789 \\ \\ \mbox{Let the point be h,k from which ang momentum is to be calculated }\\ \\ L_1 = mvr_1\\ \\ =mv\frac{mh - k + f}{m^2 + 1} \\ \\ \mbox{similarly }\\ \\ L_2 = mv\frac{mh - k + g}{m^2 + 1}\\ \\ \mbox{Since they are moving in opposite directions,net ang momentum = }\\ \\ L = L_1 - L_2 \\ \\ =\frac{mv}{\sqrt(m^2 + 1} * (mh - k + f - (mh - k + g))\\ \\ =\frac{mv(f-g)}{\sqrt(m^2 + 1}\\ \\ =mvd \mbox{ which is constant }

]]> http://iit-jee-forums.wikidot.com/forum/t-53584 Functional Equation http://iit-jee-forums.wikidot.com/forum/t-53584/functional-equation first Math post Tue, 15 Apr 2008 04:45:41 +0000 pardesi 112306 let f(x) be a invertible function staisfying f(x) + f^{-1}(x)=x.Find \int_{-1}^{1}f(x) dx

]]> http://iit-jee-forums.wikidot.com/forum/t-53581 test http://iit-jee-forums.wikidot.com/forum/t-53581/test Tue, 15 Apr 2008 04:31:52 +0000 konichiwa2x 112795 (1)
\sum_{n=1}^{\text{\Huge$\infty$}}\frac{1}{n^2} = \frac{\pi^2}{\text{\Huge 6}}
(2)
\text{ \small$\pi$ \normalsize$\pi$ \large$\pi$ \Large$\pi$ \LARGE$\pi$ \huge$\pi$ \Huge$\pi$ \huge$\pi$ \LARGE$\pi$ \Large$\pi$ \large$\pi$ \normalsize$\pi$ \small$\pi$}
]]> http://iit-jee-forums.wikidot.com/forum/t-53579 latex check http://iit-jee-forums.wikidot.com/forum/t-53579/latex-check Tue, 15 Apr 2008 03:58:14 +0000 Da Vinci 112782 $ \frac{1}{-1}=\frac{-1}{1}$

Taking square root, we get

$\sqrt{\frac{1}{-1}}=\sqrt{\frac{-1}{1}}$

cross multiplying, we get

$\sqrt{1}.\sqrt{1}=\sqrt{-1}.\sqrt{-1}$

Hence -1=1

Thus 1+1=0

]]> http://iit-jee-forums.wikidot.com/forum/t-53578 introduce yourself http://iit-jee-forums.wikidot.com/forum/t-53578/introduce-yourself Tue, 15 Apr 2008 03:49:56 +0000 Da Vinci 112782 I am da vinci….preparing for JEE 2009.

Yay! i am one of the first few members of this site

]]> http://iit-jee-forums.wikidot.com/forum/t-53573 Chem kinetics doubt http://iit-jee-forums.wikidot.com/forum/t-53573/chem-kinetics-doubt Tue, 15 Apr 2008 03:28:45 +0000 Da Vinci 112782 The vapour pressure of two miscible liquids A and B are 300 and 500 mm of Hg respectively. In a flask 10 moles of A is mixed with 12 moles of B. However as soon as B is added, A starts polymerizing into a completely insoluble solid. The polymerisation follows first order kinetics. After 100 minutes, 0.525 mole of a solute is dissolved which arrests the polymerisation completely. The final vapour pressure of the solution is 400mm of Hg. Estimate the rate constant of the polymerisation reaction. Assume negligible volume change of mixing and polymerisation and ideal behaviour for the final solution.

Ans 1.005 X10^-4 /min

]]> http://iit-jee-forums.wikidot.com/forum/t-53563 Just a Latex Check http://iit-jee-forums.wikidot.com/forum/t-53563/just-a-latex-check Chumma Jujubi Tue, 15 Apr 2008 03:08:46 +0000 Baba001 112771 Cosine Formula

(1)
cos A = \frac{b^2 + c^2 - a^2}{2bc}

Check. Check. This is Chronoz! We should post a latex guide somewhere soon…….

]]> http://iit-jee-forums.wikidot.com/forum/t-53552 Testing Latex http://iit-jee-forums.wikidot.com/forum/t-53552/testing-latex The First Post in this Forum Tue, 15 Apr 2008 02:39:09 +0000 pardesi 112306 you can write in by using the following code and standard Latex symbols here
For example to get

(1)
x^{2} + y^{2}=z^{2}, x,y,z \in \mathbb{N} \Rightarrow (x,y,z)=(m^{2}-n^{2},2mn,m^{2}+n^{2})

Just click on root(x) button at top of the page u post and insert the symbol u want

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