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IIT ? JEE SCREENING EXAMINATION Q1. A particle of charge q and mass m moves in a circular orbit of radius r with angular speed w. The ration of the magnitude of its magnetic to that of its angular momentum depends on (a) ? and q (b) ? q and m (c) q and m (d) ? and m Q2. Two vibrating strings of the same material but lengths L and 2L have radii 2r and r respectively. They are stretched under the same tension. Both the strings vibrate in their fundamental modes, the one of length L with frequency v1 and the other with frequency v2. The ratio v1 / v2 is given by: (a) 2 (b) 4 (c) 8 (d) 1 Q3. Image an atom made up of a proton and a hypothetical particle o
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G E N E S I S 1 The Modern Periodic Table G E N E S I S 1 The Modern Periodic Table STUDENT TEXT Chemists at Los Alamos National Laboratory, a Genesis partner organization, supply the nation with purified chemicals. Their Web site displays a modern periodic table of the elements. At the Web site http://pearl1.lanl.gov/periodic/ you may click on any element and access information about its physical and chemical properties, as well as other fascinating facts. Reading the Modern Periodic Table Our modern day periodic table is expanded beyond Mendeleev's initial 63 elements. Most of the current periodic tables include 108 or 109 elements. It is also im
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50 COMMON INTERVIEW QUESTIONS AND ANSWERS [Don?t forget to have a look at free bonus at the end of this document.] Review these typical interview questions and think about how you would answer them. Read the questions listed; you will also find some strategy suggestions with it. 1. Tell me about yourself: The most often asked question in interviews. You need to have a short statement prepared in your mind. Be careful that it does not sound rehearsed. Limit it to work-related items unless instructed otherwise. Talk about things you have done and jobs you have held that relate to the position you are interviewing for. Start with the item farthest back and
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submitted by a4asd (310 m) on 16 Jun 2007 06:49:30 IST (0 comments 131 views)
EXCEL..... If you are a student attending classes, you have probably experienced many moments when it was hard to make yourself settle down and study, even when an important exam was coming up. If you?re like most students, you put off studying until the very last minute. The night before the exam, you?ll stay up all night cramming, getting little or no sleep. In the morning, you?ll drag yourself out of bed, psych yourself up with lots of coffee and some cigarettes, and go into the exam feeling exhausted, drained and jittery all at the same time. You?ll find it hard to focus or think, and you
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submitted by v_gurucharan (283 m) on 11 Jun 2007 23:36:56 IST (4 comments 167 views)
Sir, Can u give me the total number of seats available in total in the IITs for the computer science department including dual also (for btech). I am not asking about the no of seats in each iits but in total ?
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submitted by ckmr (374 m) on 15 Jun 2007 15:40:25 IST (3 comments 97 views)
Cylinders Given a line L and a curve C in a plane P, the cylinder with generator L and directrix C is the surface obtained by moving L parallel to itself, so that a point of L is always on C. If L is parallel to the z-axis, the surface's implicit equation does not involve the variable z. Conversely, any implicit equation that does not involve one of the variables (or that can be brought to that form by a cha
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submitted by pirate1_from_jee (596 m) on 15 Jun 2007 12:37:18 IST (0 comments 69 views)
Coordinates and other statistics of the 5 Platonic Solids They are the tetrahedron, cube (or hexahedron), octahedron, dodecahedron and icosahedron. Their names come from the number of faces (hedron=face in Greek and its plural is hedra). tetra=4, hexa=6, octa=8, dodeca=12 and icosa=20. Remember that in these pages Phi is 1·61803.. and phi is 1/Phi = Phi-1 = 0·61803... . The "wire-frame" views are symmetrical plan views of the frame of the object with wire edges and the faces missing, dotted lines being edges that would be hidden by solid faces.
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submitted by pirate1_from_jee (596 m) on 15 Jun 2007 12:27:42 IST (0 comments 68 views)
Taylor series "Series expansion" redirects here. For other notions of the term, see series. As the degree of the Taylor series rises, it approaches the correct function. This image shows sinx and Taylor approximations, polynomials of degree 1, 3, 5, 7, 9, 11 and 13. In mathematics, the Taylor series is a representation of a function as an infinite sum of terms calculated from the values of its derivatives at a single point. It may be regarded as the limit of the Taylor polynomials. Taylor series are named in honor of English mathematician Brook Taylor. If a = 0 in the Taylor series formula (see below), th
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submitted by Aatish (2303 m) on 14 Jun 2007 20:50:05 IST (2 comments 129 views)
The Toymaker (A chapter from the book The IITians by Sandipan Deb, Penguin 2004) 'Meet Arvind Gupta,' Dunu Roy told me as I was taking his leave. 'Who is he!' I asked. 'What does he do!' 'Oh, he's a mad guy,' Roy said. 'He makes toys.' Toys! An IITian making toys? I thought all toys were made in China! So one late afternoon a few days later, I am ringing the bell at a small government-constructed middle-class apartment in south Delhi. I don't know it yet, but I am about to have the most fascinating three hours of all the hundreds I have spent on this book. Arvind Gupta makes toys. This tall, bea
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submitted by swatygupta (689 m) on 14 Jun 2007 18:17:42 IST (5 comments 203 views)
An IntroductionThe Doppler effect, named after Christian Doppler, is the change in frequency and wavelength of a wave that is perceived by an observer moving relative to the source of the waves. For waves that propagate in a wave medium, such as sound waves, the velocity of the observer and of the source are reckoned relative to the medium in which the waves are transmitted. The total Doppler effect may therefore result from either motion of the source or motion of the observer. Each of these effects is analyzed separately. For waves which do not require a medium, such as light or gravity in special relativity, only the relative difference in velocity between
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submitted by striker (256 m) on 15 May 2007 03:11:12 IST (3 comments 148 views)
DETERMINANTS:- 1) If A is a square matrix of order n then i) I Adj A I = IAIn-1 ii) Adj(AdjA) = IAIn-2A iii)(AdjA)-1 = A/IAI = Adj(A-1) 2)For any scalar K , Adj(KA) = Kn-1AdjA 3) For a non-singula
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submitted by sowmya111 (253 m) on 1 Jun 2007 14:55:05 IST (16 comments 408 views)
HAVE FUN SOLVING DIS.....AND KEEP POSTING ANY IDEAS YOU HAVE ....ANY INNOVATIVE METHODS TO SOLVE A PARTICULAR PROBLEM........... 1. Find all polynomials p(x) with real coefficients such that for some n > 0, p(x+2) - p(x+3) + 2p(x+4) - 2p(x+5) + ... - n p(x+2n) + n p(x+2n+1) = 0 holds for infinitely many real x. --> 2. O is a vertex of a cube side 1. OABC and OADE are faces of the cube. Find the shortest distance between a point of the circle inscribed in OABC and a point of the circumcircle of OAD. --> 3. For n > 2 find all real solutions to: x13 = x2 + x3, x23 = x3 + x4, ... , xn-23 = xn-1 + xn, x
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submitted by vishwa306 (54 m) on 14 Jun 2007 11:28:04 IST (0 comments 74 views)
HEY FELLOW GOIITIANS...HOPE YOU HAV FUN SOLVING THIS.....ITS DA ULTIMATE SET OF MATH PROBLEMS U WILL FIND ON THIS EARTH.......ENJOY!!!! 1. The equations x2 + ax + 1 = 0 and x2 + bx + c = 0 have a common real root, and the equations x2 + x + a = 0 and x2 + cx + b = 0 have a common real root. Find a + b + c. 2. A chooses a positive integer X ? 100. B has to find it. B is allowed to ask 7 questions of the form "What is the greatest common divisor of X + m and n?" for positive integers m, n < 100. Show that he can find X. 3. O is the circumcenter of the obtuse-angled triangle ABC. K is the circumcenter of AOC
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submitted by vishwa306 (54 m) on 14 Jun 2007 11:24:01 IST (0 comments 66 views)
A1. Let x1 ? x2 ? ... ? xn, and y1 ? y2 ? ... ? yn be real numbers. Prove that if zi is any permutation of the yi, then: ?1?i?n (xi - yi)2 ? ?1?i?n (xi - zi)2. A2. Let a1 < a2 < a3 < ... be positive integers. Prove that for every i ? 1, there are infinitely many an that can be written in the form an = rai + saj, with r, s positive integers and j > i. A3. Given any triangle ABC, construct external triangles ABR, BCP, CAQ on the sides, so that ?PBC = 45o, ?PCB = 30o, ?QAC = 45o, ?QCA = 30o, ?RAB = 15o, ?RBA = 15o. Prove that ?QRP = 90o and QR = RP. B1. Let A be the sum of the decimal
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submitted by vishwa306 (54 m) on 14 Jun 2007 01:42:45 IST (2 comments 114 views)
An old man, a little boy, and a donkey were heading towards a faraway city. As they started off on their journey, after awhile, both the old man and the little boy got tired. So they both rode on the donkey at the same time. As they passed the first village, people were looking at them with consternation, whispering to each other, "Look at how cruel that man and boy is, both riding the poor donkey, how tired that donkey must be". The old man felt ashamed, so he got down from the donkey and let the little boy ride on the donkey. As they passed the second village, people were looking at them angrily, whispering to each other, "Look how disrespectful that boy is, ridin
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submitted by vishwa306 (54 m) on 14 Jun 2007 01:52:50 IST (1 comments 78 views)
Disclaimer : The author of this article is in no way responsible for it's effect on you or on your life.So read it at your own risk and in between the lines. Summer Vacation after Xth Board ExaminationYou have just measured the height of Mount Everest. Though it's not Mount Everest but for the 1st time it looks like. What they say - start preparing early for JEE....this is the golden time.....this time period solely belongs to you use it wisely...you will never get time for self study after this....are ju
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submitted by chandan449 (139 m) on 13 Jun 2007 20:25:15 IST (5 comments 199 views)
One day a student unearthed a coin in which it was written ChandraGuptaMaurya,319 B.C.He took the coin to his teacher.But the teacher told him that the coin was fake and of course the teacher was correct.With this information only can you tell how the teacher knew that?Remember ChandraGuptaMaurya belonged to that period and he also belonged to that region.The coin was made of a metal which was available then and there I will submitt the answer after 2 days and I will personally salute all who answers correctly I promise.Please give a try atleast. Please rate if you like that question.
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submitted by snandkeolyar (126 m) on 13 Jun 2007 10:14:13 IST (8 comments 154 views)
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