If you can't make a mistake, Volume - 6 Issue - 8 you can't make anything. February, 2011 (Monthly Magazine) Editorial / Mailing O ffice : 112-B, Shakti Nagar, Kota (Raj.) Tel. : 0744-2500492, 2500692, 3040000 Editorial e-mail : [email protected] Editor : Dear Students, Pramod Maheshwari [B.Tech. IIT-Delhi] It's the question y ou dreamed about when you were ten years old. It's the question our parents nagged you about during high school. It's the question that Cover Design stresses most of us out more and more the older w e get. "What do you want to be when you grow up?" Om Gocher, Govind Saini There are people who are studying political scien ce but hate politics, nursing majors who hate biology, and accounting majors who hate math. Obviously, a Layout lot of people are confused about what exactly it is that they want to spend their Rajaram Gocher life doing. Think about it. if you work for 10 hours each day, you're going to end up spending over 50% of your awake life at work. Personally, I think it's Circulation & Advertisement important that we spend that 50% of your awake life at work. Personally, I think it's important that we spend that 50% wisely. But how can you make sure that Praveen Chandna you do? Here are some cool tips for how to decide that you really want to be Ph 0744-3040000, 9672977502 when you grow up. • Relax and Keep an Open Mind: Contrary to popular belief, you don't have Subscription to "choose a career" and stick with it for the rest of your life. You never have to sign a contract that says, "I agree to force myself to do this for the Sudha Jaisingh Ph. 0744-2500492, 2500692 rest of my life" You're free to do whatever you want and the possibilities are © Strictly reserved with the p ublishers endless. So relax, dream big, and keep an open mind. • Notice Your Passions: Every one of us is born with an innate desire to do something purposeful with our lives. 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Any mistake, error or & to yourself, it's time to take the last step: figure out how you can make discrepancy noted may be brought to our great success doing it. my most important piece of advice about this last notice which shall be taken care of in the step is to remember just that: It's the last part of the decision process. I feel forthcoming edition, hence any suggestion is sorry for people who choose an occupation based on the average income for welcome. It is notified that neither the that field. No amount of money can compensate for a life wasted at a job publisher nor the author or seller will be that makes you miserable. However, that's not to say that the money isn't responsible for any damage or loss of action to important. Money is important, and I'm a firm believer in the concept that any one, of any kind, in any manner, there from. no matter what it is that you love doing, there's at least one way to make extraordinary money doing it. So be creative! 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Pramod Maheshwari, Editor : Pramod Maheshwari B.Tech., IIT Delhi XtraEdge for IIT-JEE 1 FEBRUARY 2011 XtraEdge for IIT-JEE 2 FEBRUARY 2011 Volume-6 Issue-8 CONTENTS February, 2011 (Monthly Magazine) INDEX PAGE NEXT MONTHS ATTRACTIONS Regulars .......... (cid:139) Much more IIT-JEE News. (cid:139) Know IIT-JEE With 15 Best Questions of IIT-JEE NEWS ARTICLE 4 (cid:139) Challenging Problems in Physics,, Chemistry & Maths Dr. Abdul Kalam's Message to Every Indian Two Mumbai CAT toppers are from IIT-Bombay (cid:139) Key Concepts & Problem Solving strategy for IIT-JEE. IITian ON THE PATH OF SUCCESS 6 (cid:139) IIT-JEE Mock Test Paper with Solution Mr. Vineet Buch (cid:139) AIEEE & BIT-SAT Mock Test Paper with Solution KNOW IIT-JEE 7 Previous IIT-JEE Question Study Time........ DYNAMIC PHYSICS 15 8 -Challenging Problems [Set# 9] S S tudents’ Forum Success Tips for the Months P hysics Fundamentals Matter Waves, Photo-electric Effect Thermal Expansion, Thermodynamics • "The way to succeed is to double your error rate." C ATALYSE CHEMISTRY 31 • "Success is the ability to go from failure to Key Concept failure without losing your enthusiasm." Carbonyl Compounds Co-ordination Compound & • "Success is the maximum utilization of the Metallurgy ability that you have." Understanding : Physical Chemistry • We are all motivated by a keen desire for praise, and the better a man is, the more he DICEY MATHS 38 is inspired to glory. Mathematical Challenges • Along with success comes a reputation for Students’ Forum wisdom. Key Concept Integration • They can, because they think they can. Trigonometrical Equation • Nothing can stop the man with the right Test Time .......... mental attitude from achieving his goal; nothing on earth can help the man with the XTRAEDGE TEST SERIES 50 wrong mental attitude. Class XII – IIT-JEE 2011 Paper • Keep steadily before you the fact that all Class XI – IIT-JEE 2012 Paper true success depends at last upon yourself. Mock Test-3 (CBSE Board Pattern) [Class # XII] 72 Solution of Mock Test-2 (CBSE Pattern) Solution of Mock Test-3 (CBSE Pattern) XtraEdge for IIT-JEE 3 FEBRUARY 2011 Dr. Abdul Kalam’s Message to Ahmedabad and Bangalore over Electrical & Computer Science at Every Indian others.” Swinburne University of Technology What does a system consist of? Very Gaurav Malpani, a fourth-year student in Melbourne. Plagued with exams conveniently for us it consists of our of computer science at IIT-B has and other academic diseases, they neighbours, other households, other appeared for the entrance exam from still managed to build this in about cities, other communities and the Mumbai, he is originally from Kolkata. two weeks. government. But definitely not me and He managed to score100 percentile, YOU. When it comes to us actually without any coaching. making a positive contribution to the “I have never focused on developing system we lock ourselves along with my technical knowledge. I was only our families into a safe cocoon and polishing my problem solving skills. I look into the distance at countries far also focused on my vocabulary,” said away and wait for a Mr.Clean to come 21-year-old Malpani. He insisted that along & work miracles for us with a he had never studied exclusively for Kids at Swinburne Uni, came majestic sweep of his hand or we CAT during the year. “I always knew second with a smile leave the country and run away. that I had the aptitude to score well, but ‘ASK WHAT WE CAN DO FOR scoring 100 percentile was not Their robots communicated through INDIA AND DO WHAT HAS TO BE expected,” he added. radio frequency waves and everything, right from the wheels to DONE TO MAKE INDIA WHAT “I would love to join IIM-Ahmedabad the circuit boards was custom made. AMERICA AND OTHER WESTERN or Bangalore. Since I am from Kolkata, One robot would go and measure the COUNTRIES ARE TODAY’ I will also consider seeking admission dimensions of the grid. The second, there. I am interested in pursuing an Two Mumbai CAT toppers are after getting the information would MBA in either finance or human from IIT-Bombay start its mission of picking up blocks. resources,” he added. The faculty Three people, who appeared for CAT member of a city-based coaching from the city, scored 100 percentile. institute Jose D’Abreu also got a Two of them are from the computer perfect score. science department of the IIT-B. The other is a faculty member of a city- IIT Techfest 2011: The Robots based coaching institute. Raged Shashank Samant, 22, who scored It was the perfect way to end a very Can it say, "Thai, Robot"? 99.98 percentile on his last attempt in well-planned event. On the first two 2008, gave up the IIM seat to take up days of Techfest, IIT Bombay was C2R was made by third year students a job. “After a year and a half job in buzzing with exhibits of some cool of the computer engineering an investment firm, I was finally robots and a few other inventions as department of the Kasetsart prepared to get in to an IIM. Though well. On the final day, the robots University in Kapmphaeng Saen, the 100 percentile was unexpected.” became restless and just wanted to have Thailand. These kids spent two “After clearing the CAT, I spoke to a go at each other. What followed was a months and about Rs. 1,47,000 my peers and seniors at IIT-B and lengthy battle fought hard and long. (100,000 Thai Bath) to make these robots. decided that work experience would Mars Manoeuvre This tournament had be important before getting in to the two robots moving around a grid IIMs,” said Samant. He also added collecting blocks. The team that that IITs help in developing the collected the most blocks won. The last aptitude to clear any competitive battle was between C2R and Black exams. Samant had graduated in Beast, from Thailand and Australia computer science from IIT-B in 2009. respectively. About his choice of IIMs, Samant Black Beast: In all its glory said, “I am ready to get in to any of Black Beast was the creation of second Kasetsart University students with the IIMs though I prefer IIM- year students from the Department of the C2R XtraEdge for IIT-JEE 4 FEBRUARY 2011 Unlike the kids of Oz, they chose to IIT Guwahati Director Prof Gautam would formulate a long term scheme use only one robot which would find Baruah said the board had urged for for solving technical problems its way and collect blocks. These issuing such performance cards which pertaining to agriculture and a Joint robots also used radio frequency would serve as certificates for the Working Group at State level would technology to communicate and had students. “Many other institutes, which be formed for solving the problems sensors, so that the robot never drifted want to take JEE candidates, can give relating to farm technology. away from the grid lines. The battle admission to students on the basis of ensued and it was clear that spending these performance cards,” Baruah said. Star Donor of the Month - Mr. more time with your robot makes Rajesh Achanta [1987/BT/ME] them strong and obedient. In fact, they Indian institute of Science will I have been donating off and on as a can also win you competitions! C2R start management course way of keeping the connection with won the Mars Manoeuvre competition Indian Institute of Science (IISc.) is IITM going & also to express and prize money of Rs. 1,50,000. The planning to start a two-year Master gratitude for the many ways in which kids demonstrated how they won the programme in management from this the institute shaped me in my battle. Check out the video below. academic session. The new courses will formative years. I'll be transiting be very advance as it will concentrate through Chennai in early January - I IIT-Bombay gets $3 million gift more on technology management and would like to stop by at IITM & More than 40 years ago a quiet business analytics. relive old memories for a little while! student named Victor Menezes IISc registrar R Mohan Das said the graduated from the Indian Institute of Orissa CM confers award to course would concentrate on synergies Technology Bombay (IIT-B). He IIT-Kanpur Prof. Dr Devi between managing science and went on to become, among other Prasad Mishra technology. Das said, “India, in recent things, the senior vice-chairperson of times, has emerged as one of the global In recognition of his research work, Citigroup Inc. His “small way to say hubs of technology and research and Dr. Mishra received Sir Rajendranath thank you” to the institute has development (R&D) units. Such Mookerjee Memorial and Aerospace translated into a $3 million technology-based and R&D-intensive Engineering Division Prize from The (about Rs 13.5 crore) towards a state- industries need executives with Institution of Engineers (India), of-the-art convention centre on the exposure and training in technology Kolkata, India. Dr. Mishra has more institute’s Powai campus management and business analytics. than 15 years of teaching and “I received priceless education from The program has been specially research experience. He has served IIT Bombay and this is a small way designed to train students in technology as Visiting Professor in 2002 at the to say thank you”, said Menezes. “I management and business analytics.” Tokyo-Denki University, Japan. hope the centre will help support the The course will be conducted by the Presently, he is working as an exchange of ideas at IIT Bombay.” department of management studies, Associate Professor in the Department of Aerospace which was established in the year 1848, IIT-JEE candidates to get Engineering at Indian Institute of and is one of the oldest schools in the performance cards now country. An official at the dept. said Technology (IIT) Kanpur, Kanpur, India where he was instrumental in that application forms for the course Students appearing for the next Joint establishing a combustion laboratory. will be available from the month of Entrance Examination (JEE) for admission to IITs will get February. Candidates who have passed His areas of research interest include performance cards specifying marks the Joint Entrance Test (JMET) with combustion, computational fluid and the ranks secured by them in the first class BE/B.Tech degree/equivalent dynamics, atomization, nanomaterial test. However, as per the new is eligible for the course. The synthesis etc. He is an Associate provision, they cannot seek regrading department will conduct group Editor, Journal of Natural Gas or re-totalling. discussion and personal interview Science and Engineering, Elsevier, before selecting students for the course. USA and Assistant Editor, For the first time, the JEE Board International Journal of Hydrogen IIT Mandi to formulate plan for would issue performance cards which Energy, Elsevier, USA. Currently he can be considered as certificates by solving technical problems is serving as Editor, Asia Pacific many other institutions wanting to pertaining to agriculture in Conference on Combustion, 2010. give admission to JEE candidates. The Himachal Pradesh Dr. Mishra has four Indian patents board will also put out the answers of Shimla: Shri Ram Subhag Singh, and more than 154 publications in the questions on its website to help Secretary, Agriculture and Information referred Journals and in conference students make assessment of their and Public Relations said that H.P. proceedings to his credit. performance. Agriculture Department and IIT Mandi XtraEdge for IIT-JEE 5 FEBRUARY 2011 SSuu cccceessss SSttoorryy This article contains storie/interviews of persons who succeed after graduation from different IITs Mr. Vineet B uch B-Tech from IIT-Kanpur (A venture capitalis t based in san francisco) Vineet Buch still remembers 10 June 1987. Bhopal. The IT HELPS TO BE NO. 1 Indian Institute of Technology All India Joint Entrance During his days in IIT Kanpur, Buch was a long-distance Exam (IIT-JEE) results were announced. Buch, then a 15- athlete, weightlifter and footballer. He competed in both year-old dabbling with career choices, scanned through the the 5,000 and 10,000 metres. But in August 1993, a doctor rank-holders list. Then he scanned it again. Soon he made at Delhi’s All India Institute of Medical Sciences up his mind. He would try and finish No. 1 in the entrance diagnosed the 20-year-old with ankylosing spondylitis, a exam. “It seemed like a cool thing to do.” progressively crippling disease without a cure. Every year thousands of Indian students aspire to get into Buch suffered inflammation of the eyes and internal an IIT. Close to 400,000 candidates lined up this year. One organs. “Sometimes it was so hard for me to even sit, stand in 65 made the cut. Twenty years ago, the number of or sleep,” he recalls. Things got progressively worse over applicants wasn’t as staggering but there were fewer seats. his two-year graduate program at Cornell University. Golfers will tell you that the odds of an amateur pulling off “When I finished in 1995, I was immobilised throughout a hole-in-one are 1 in 12,750. Still, that’s a doddle much of my body. A doctor advised me to stop working compared to what Buch was up against. and apply for disability payments.” “Hardly anyone in Bhopal even wrote the JEE, let alone Buch refused. He moved to San Francisco and started a got in,” says Buch, 37, a venture capitalist based in San self-directed rehabilitation programme. He began with Francisco. “I found it tough to get the right books, like a long sessions of swimming and gradually started to walk, Russian physics book by IE Irodov. My parents [who were bike and hike. In 2001, he successfully undertook the IAS officers] requested the Indian embassy in Moscow to Death Ride over five alpine passes on the Sierra Nevada photocopy the book and send it across.” mountain range in California, US. But biking hurt his In June 1989, Buch was declared No. 1 in the IIT JEE knees. Searching for a sport that didn’t tax his legs, he exam, arguably the most challenging and competitive discovered surf skiing, one that uses a long, narrow, exam in the world. Only around 50 Indians have lightweight kayak with an open cockpit and a foot-pedal experienced the feeling—the numbness, the ecstasy, the controlled rudder. On 17 May, Buch took part in the 2009 dizziness. Molokai Challenge in Hawaii, a 32-mile surf ski race between Molokai and Oahu, in rough waters swarming Once every year, JEE toppers appear on television and with tiger sharks. He finished the race. newspapers carry congratulatory messages. You see mug shots of students, interviews with parents, and “I thought being No 1 in JEE was tough,” says Buch. “But advertisements for coaching centres. We spend a lot of overcoming this disease has been something else. The JEE time celebrating their success, but rarely do we look effort definitely helped with this—I knew the levels of further. determination I was capable of and refused to give up.” What becomes of these brilliant 17-year-olds? What are the challenges they encounter? Do any of them pursue unconventional careers? These were some of the questions Open set out with while tracking down the very elite group of JEE toppers. XtraEdge for IIT-JEE 6 FEBRUARY 2011 KNOW IIT-JEE By Previous Exam Questions (a) Find the value of H if the particle just reaches the PHYSICS disc. (b) Sketch the potential energy of the particle as a 1. Two narrow cylindrical pipes A and B have the same function of its height and find its equilibirum length. Pipe A is open at both ends and is filled with a position. [IIT- 1999] monoatomic gas of molar mass M . Pipe B is open at A Sol. (a) Given that : a = radius of disc, σ = surface one end and closed at the other end, and is filled with a charge density, q/m = 4ε g/σ 0 diatomic gas of molar mass MB. Both gases are at the The K.E. of the particle, when it reaches the disc can same temperature. [IIT- 2002] be taken as zero. (a) If the frequency of the second harmonic of the Potential due to a charged disc at any axial point fundamental mode in pipe A is equal to the frequecy of situated at a distance x from 0. the third harmonic of the fundamental mode in pipe B, σ V(x) = [ a2+x2 –x]] determine the value of MA/MB. 2ε0 (b) Now the open end of pipe B is also closed (so that σ the pipe is closed at bout ends). FInd the ratio of the Hence, V(H) [ a2+H2 –H] 2ε fundamental frequency in pipe A to that in pipe B. 0 σa Sol. (a) Second harmonic in pipe A = 2 [(v0)A] Third and V(O) = harmonic of pipe B = 3 [(v0)B] 2ε0  v   v  According to law of conservation of energy, Loss of = 2 = 3     gravitation potential energy = gain in electric 2l 4l potential energy 1 γ RT 3 γ RT H = A = B (m,q) l MA 4l MB A B H Gas (Monoatomic) Gas (Diatomic) M M A B l l O a Given that second harmonic in pipe A = Third harmonic of pipe B mgH = qDV = q[V(0) – V(H)] 1 γ RT 3 γ RT σ ⇒ A = B mgH = g[a – { (a2+H2)– H}] …(1) l MA 4l MB 2ε0 M 400 σq ⇒ A = [γ = 1.67 and γ = 1.4] From the given relatuion : = 2 mg (given) MB 189 A β 2ε0 Putting this is equation (1), we get, γ RT γ RT (b) (v ) = A (v ) = B 0 A M 0 B M MgH = 2mg[a – { (a2+H2)–H }] A B (v ) γ M 3 or H = 2[a + H – (a2+H2)] ∴ 0 A = A × B = (v ) M γ 4 0 B A B or H = 2a + 2H – 2 (a2+H2) 2. A non-conducting disc of radius a and uniform positive or 2 (a2+H2) = H + 2a surcface charge density σ is placed on the ground, with or 4a2 + 4H2 = H2 + 4a2 + 4aH its axis vertical. A particle of mass m and positive 4a charge q is dropped, along the axis of the disc, from a or 3H2 + 4aH or H = height H with zero initial velocity. The particle has 3 q/m = εg/σ. [Q H = O is not valid] 0 XtraEdge for IIT-JEE 7 FEBRUARY 2011 (b) Total potential energy of the particle at height h When the ring is rotating, we can treat it as a current carrying loop. The magnetic mement of this loop qσ U(x) = mgx + qV(x) = mgx + ( a2+x2 –x) Q Q 2ε0 M = iA = × πr2 = ω × πr2 T 2π = mgx + 2mg [ a2+x2 –x] This current carrying loop will create its own magnetic field which will interact with the given = mg [2 a2+x2) –x] …(2) vertical magnetic field in such a way that the tensions in the strings will become unequal. Let the dU For equilibrium : = 0 tension in the string be T and T . dx 1 2 For translational equilibrium a This gives : x = T1 + T2 = mg …(2) 3 For rotational equilibrium From equation (2), graph between U(x) and x is as Torque acting on the ring about the centre of ring shown above. → → → τ = M × B U t = M × B × sin 90º 2 mga Q QωBr2 mga = ω × πr2 × B = 3 2π 2 For rotational equilibrium, the torque about the centre of ring should be zero. O a / 3 H = 4a/3 X D D QωBr2 ∴ T × – T × = 1 2 2 2 2 3. A wheel of radius R having charge Q, uniformly QωBr2 distributed on the rim of the wheel is free to rotate ⇒ T – T = …(3) 1 2 D about a light horizontal rod. The rod is suspended by ligh inextensible strings and a magnetic field B is On solving (2) and (3) we get applied as shown in the figure. The initial tensions in the strings are T0. If the breaking tension of the stringas mg QωBr2 T = + 3T 1 are 0 , find the maximum angular velocity ω 2 2D 0 2 with which the wheel can be rotated. [IIT-2003] But the maximam tension is 3T0 2 d 3T Qω Br2  mg ∴ 0 = T0 + max QT0 =  2 2D  2  T0 T0 DT ∴ ω = 0 max BQr2 ω 0 4. An object is moving with velocity 0.01 m/s towards a convex lens of focal length 0.3 m. Find the magnitude B of rate of separation of image from the lens when the object is at a distance of 0.4m From the lens. Also calculated the magnitude of the rate of change of the lateral magnification. [IIT-2004] Sol. From above figure, when the ring is not rotating wt. Sol. f = 0.3 m, u = – 0.4 m of ring = Tension in string mg = 2T 0 Using lens formula mg 1 1 1 ∴ T = …(1) – = 0 2 v –0.4 0.3 ⇒ v = 1.2 m XtraEdge for IIT-JEE 8 FEBRUARY 2011