IIT-JEE 2011

116 Pages·2011·3.83 MB·English

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.)

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Editorial
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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
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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
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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
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• All disputes are subject to the this is one of your passions, so you decide to become a personal trainer.
exclusive jurisdiction of the Kota Making a positive impact on the world will not only ensure that you are
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principle: The more you give to the world, the more the world will give you
in return.
Every effort has been made to avoid errors or
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omission in this publication. In spite of this,
passions are and how you can use those passions to add value to the world
errors are possible. 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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Yours truly
Maheshwari, 112, Shakti Nagar,

Dadabari, Kota & Printed by Naval
Maheshwari, Published & Printed at 112,

Shakti Nagar, Dadabari, Kota.
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