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Success StoryThis article contains story of a person who is successful after graduation from different IIT'sMr. Krishnamurthy RengarajanIIT-B Gold MedallistKnowledge is indeed wealth. Who better exemplifies it thanKrishnamurthy Rengarajan,IIT-B gold medallist (B Techdual-degree course). Krishnamurthy's story is that of hardwork, sheer grit and determination. His undying passion forlearning and excellence has paid off. Coming from a lowermiddle class background, Krishnamurthy has made hisparents proud when he passed with flying colours.His father, who works as a typist at Bharatiya VidyaBhavan is overwhelmed by his son's achievement.Rengarajan, who hails from Tamil Nadu, came to Mumbai28 years ago and settled down in a distant Mumbai suburbof Dombivli. Though the family went through a lot ofhardships initially, he made sure that his children were welleducated."My son always wanted to join the IIT. When people askedhim what if you don't get through the entranceexaminations, he used to say, `there is no question of menot clearing the test," says his proud father. And, of course,he did top all the five years at IIT, a result of sheer hardwork and brilliance, says his mother, barely able to controlher excitement. "I am very happy for him," says RadhaRengarajan. Krishnamurthy did his schooling at the KidlandSchool in Dombivli and pre-degree from V G Vaze Collegeat Mulund. His favourite subject being mathematics it wasobvious that he would pursue a degree in engineering. Hewon the Rakesh Mathur award of Rs 1 lakh (Rs 100,000)during his third year and other scholarships throughout thefour years. Here's what Krishnamurthy had to say on his IITexperience.My IIT experienceThe five years I spent at IIT were the best in my life. I willcherish each and every moment here. I loved everythinghere: the professors are the best one can ever get, thefacilities to study and the extra-curricular activities areexcellent. I made best of friends and thoroughly enjoyedmy college life.I don't think I will ever get this experience anywhere else.On studiesBefore joining IIT, I used to study for 7 to 8 hours daily.After joining IIT, I used to spend about a couple of hours. Idid not go for anything coaching classes. I learnt throughBrilliant Tutorial correspondence course and my preparationbegan after I finished my 10th standard.Why IITIIT is one of the premier institutes in India. I always wantedto get good higher education, so I opted for IIT.My mantra for successThere is no short cut to success. One has to work veryhard, put in a lot of effort, should have a problem-solvingmentality and a right approach to every problem. Myparents always stood by me, their support has beeninvaluable and am overwhelmed.Advice to IIT aspirantsWork hard. You have to spend a lot of time preparing asexams are getting more and more competitive. You mustalso have problem-solving skills.InterestsSolving math puzzles, reading books. I used to play cricket,but now I don't get the time.Next moveMoney is the least important thing for Krishnamurthy. So nojobs for the time being. "I have been selected for thescholarship programme at Stanford University for a PhD inoperations research. I would like to research on optimisingcomputer networks and operation systems. Quality research isavailable abroad. After the PhD programme I would like tojoin any academia of good repute and continue my researchactivities. Among corporates, I admire Google. It is the onecompany that reflects perfection, hard work and efficiency."Will you come back to India?Of course, I will. The brain drain phenomenon is dying out.It's the time for reverse brain.XtraEdge for IIT-JEE 6 APRIL 2010
KNOW IIT-JEEBy Previous Exam QuestionsPHYSICS1. A spherical ball of mass m is kept at the highest pointin the space between two fixed, concentric spheres Aand B (see figure in solution). The smaller sphere Ahas a radius R and the space between the two sphereshas a width d. The ball has a diameter very slightly lessthan d. All surface are frictionless. The ball is given agentle push (towards the right see figure in solution)The angle made by the radius vector of the ball withthe upward vertical is denoted by θ [IIT-2002](a) Express the total normal reaction force exerted bythe sphere on the ball as a function of angle θ.(b) Let N A and N B denote the magnitudes of thenormal reaction forces on the ball exerted by thesphere A and B, respectively. Sketch the variations ofN A and N B as functions of cos θ in the range 0 ≤ θ ≤ πby drawing two separate graphs in your answer book,taking cos θ on the horizontal axes.Sol. The ball is moving in a circular motion. Thenecessary centripetal force is provided by(mg cos θ – N). ThereforeBARDCd/2θ θmgcosθmgN AVmgsinθmv 2mg cos θ – N A =…(i)⎛ d ⎞⎜R + ⎟⎝ 2 ⎠According to energy conservation1 mv 2 ⎛ d ⎞= mg ⎜R + ⎟ (1 – cos θ) …(ii)2 ⎝ 2 ⎠From (i) and (ii) N A = mg (3 cos θ – 2) …(iii)The above equation shows that as θ increases N Adecreases. At a particular value of θ, N A will becomezero and the ball will lose contact with sphere A. Thiscondition can be found by putting N A = 0 in eq. (iii)0 = mg (3 cos θ – 2)∴ θ = cos –1 ⎛ 2 ⎞⎜ ⎟⎝ 3 ⎠2mgN AmgThe graph between N A and cos θFrom eq (iii) when θ = 0, N A = mg.1cos θ –1When θ = cos –1 ⎛ 2 ⎞⎜ ⎟ ; NA = 0⎝ 3 ⎠The graph is a straight line as shown.When θ > cos –1 ⎛ 2 ⎞⎜ ⎟⎝ 3 ⎠mv 2N B – (– mg cos θ) =dR +2mv⇒ N B + mg cos θ =2⎛ d ⎞⎜R + ⎟⎝ 2 ⎠Using energy conservation1 2 ⎡⎛d ⎞ ⎛ d ⎞ ⎤mv = mg ⎢⎜R+ ⎟ − ⎜R+ ⎟ cos θ⎥ 2 ⎣⎝2 ⎠ ⎝ 2 ⎠ ⎦N B5mg2mgcos θ…(iv)mv 2 = 2 mg [1 – cos θ] …(v)⎛ d ⎞⎜R + ⎟⎝ 2 ⎠From (iv) and (v) we getN B + mg cos θ = 2 mg – 2mg cos θN B – mg (2 – 3 cos θ)When cos θ = 32 , NB = 0When cos θ = – 1, N B = 5 mgTherefore the graph is as shown.2. A cylindrical block of length 0.4 m and area of crosssection 0.04 m 2 is placed coaxially on a a thin metaldisc of mass 0.4 Kg and the same cross section. Theupper face of the cylinder is maintained at a constanttemperature of 400 K and the initial temperature ofthe disc is 300 K. If the thermal conductivity of thematerical of all cylinder is 10 watt/kg. K, how longwill it take for the temperature of the disc to increasesto 350 K? Assume, for purpose of calculation, thethermal conductivity of the disc to be very high andXtraEdge for IIT-JEE 7 APRIL 2010
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CAREER POINTIn associationwithLaunc
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