iit-jee 2011 paper-i

104 Pages·2011·3.06 MB·English

Worry is a misuse of imagination.
Volume - 6 Issue - 11

May, 2011 (Monthly Magazine)
Editorial / Mailing O ffice :
112-B, Shakti Nagar, Kota (Raj.)

Tel. : [phone]
Editorial
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Editor :

Dear Students,
Pramod Maheshwari
[B.Tech. IIT-Delhi] All of us live and work within fixed patterns. These patterns and habits
determine the quality of our life and the choices we make in life. There
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Pramod Maheshwari,
Editor : Pramod Maheshwari B.Tech., IIT Delhi

XtraEdge for IIT-JEE 1 MAY 2011
XtraEdge for IIT-JEE 2 MAY 2011
Volume-6 Issue-11
CONTENTS
May, 2011 (Monthly Magazine)

INDEX PAGE

NEXT MONTHS ATTRACTIONS Regulars ..........

(cid:139) Much more IIT-JEE News. NEWS ARTICLE 4
(cid:139) Know IIT-JEE With 15 Best Questions of IIT-JEE • Pollen, Nanoparticles, and Asthma :
(cid:139) Challenging Problems in Physics,, Chemistry & Maths The Aerosol Science of Allergic Disease
• Seminar on IIT olympiad Courses
(cid:139) Key Concepts & Problem Solving strategy for IIT-JEE.

(cid:139) Xtra Edge Test Series for JEE- 2012 & 2013 IITian ON THE PATH OF SUCCESS 6
Mr. Narayanaswamy
(cid:139) AIEEE 2011 Examination Paper & Solution

KNOW IIT-JEE 7
Previous IIT-JEE Question

Study Time........

DYNAMIC PHYSICS 14

8 -Challenging Problems [Set # 1]
S S tudents’ Forum
Physics Fundamentals

Success Tips for the Months • Electrostatics-I

• 1-D Motion, Projectile Motion

• If you can't make a mistake, you can't make
C ATALYSE CHEMISTRY 30
anything.

Key Concept
• Sometimes a big step is safer; you can't
cross a ditch in small jumps • Gaseous State

• General Organic Chemistry
• Self-confidence grows not from what you
Understanding : Physical Chemistry
can do, but what you know you can do.

• Children focus on what they can’t do. D ICEY MATHS 38
Adults focus on what they can do.
Mathematical Challenges

• The secret of confidence is to know your
Students’ Forum

resources.
Key Concept

• You never need to feel fear if you don't • Complex Number

want to do anything. • Matrices & Determinants

• You got to know when to hold ‘em and

know when to fold ‘em… Test Time ..........

• An ounce of success is worth a pound of
positive thinking. XTRAEDGE TEST SERIES 46

• To understand motivation, know the power Class XII – IIT-JEE 2012 Paper
of the Hunter.
Class XI – IIT-JEE 2013 Paper
• Defeat is advance payment for victory.

IIT - 2011 Examination Paper with Solution 62

XtraEdge for IIT-JEE 3 MAY 2011
"Pollen, Nanoparticles, and between pollen and asthma and to while IIT Delhi is at 52nd position.
Asthma: The Aerosol Science of understand how climate change may IIT Kanpur follows at 63rd and IIT
Allergic Disease" affect allergic disease in the coming Madras at 68th.
decades. Measurement of the respirable
Pollen particles are so large that allergen have only been reported for a HCL FOUNDER SHIV NADAR
inhaled pollen deposits primarily in few localized studies. A computer TO HEAD IIT-KHARAGPUR’S
BOARD
the nose and throat, yet allergists warn vision system has been developed to
asthmatics that pollen may trigger address the former problem. An Shiv Nadar, founder of software
airway inflammation deep in the ultrasensitive, label-free antibody assay major HCL, was appointed the
lungs, leading to bronchoconstriction. based upon high-Q whispering gallery chairman of the board of governors
At the same time, epidemiological mode optical resonators is under of the Indian Institute of Technology
studies yield conflicting results on the development to address the latter. (IIT), Kharagpur, a statement from
link between pollen and asthma, but the company said Thursday.
do show links between exposures to Seminar on IIT Olympiad
IIT-Kharagpur is the only
fine particles and asthma. What began Courses
engineering institution from India
as an effort to unravel the physics
Ravindra Bharathi IIT Olympiad listed among top 500 universities
behind this seemingly contradictory
School conducted an IIT Olympiad worldwide in the Shanghai Jiao Tong
advice stimulated studies of wind-
awareness seminar here on Saturday at University’s ‘Academic Ranking of
pollinating plants, pollen grains, and
Ravindra Bharathi School in Kakinada. World Universities’.
respirable allergens. Botanists had
The motto of the seminar is to create
observed that live pollen grains will ‘It is an honour to be entrusted the
awareness about IIT Olympiad courses
rupture when immersed in water, and responsibility to further advance the
on students and parents. Speaking on
speculated that the cytoplasmic global stature this great institution
this, Chief guest Ravindra Bharathi IIT
material was the source of respirable has built already,’ said Nadar.
Olympiad School Principal Mr. M.Ram
allergen that could trigger asthma.
Former chairpersons of IIT-
Naresh explained about the importance
Initial experiments confirmed our
Kharagpur include former West
of IIT Olympiad courses for the
speculation that adhesion forces at the
Bengal chief minister B.C. Roy,
students and parents presided in the
micrometer scale are too strong for the
former chairman and managing
seminar.
mechanism to explain the link, at least
director of Tata Steel Russi Mody,
as it was originally stated.
chairman emeritus of Ballarpur
IIT-Roorkee new campus
This seminar will examine how the
Industries Ltd. L.M. Thapar, and
inaugurated
structures of the rarely noticed flowers
chairman emeritus of RPG Group
enable pollen antigen to be released in IIT-Roorkee today inaugurated its R.P. Goenka.
respirable particles. Along the way, Greater Noida Campus at the

we will examine some of the Knowledge Park-II area here. It was IIT Delhi's golden jubilee
remarkable methods that wind- inaugurated by Ashok Bhatnagar, lecture by Professor Susan
pollinating plants use to release their Chairman, Board of Governors, IIT
Greenfield
pollen. The new understanding of the Roorkee in the presence of Director S C
ways that pollen antigen enters the air, Saxena.
and the wide range of sizes of

particles in which it is found poses IITs in world’s top 100 universities
new challenges for the measurement
on technical subjects
of these airborne allergens. Present
measurements are limited to manual The Indian Institutes of Technology
microscopic analysis of samples (IITs) India’s premier technical
collected from the air, a tedious and institutes have made it to the world’s
labor intensive undertaking. As a top 100 universities as per the recently- IIT Delhi's Golden Jubilee Lecture
result, the number of locations where released subject-wise rankings by by Professor Susan Greenfield, titled
historical pollen counts have been Quacquarelli Symonds (QS). In the ‘The 21st century mind: How will
recorded is very limited, challenging engineering and technology rankings, technology change it?’
efforts both to quantify the association IIT Bombay has bagged the 47th spot Susan Greenfield is a scientist,
XtraEdge for IIT-JEE 4 MAY 2011
writer, broadcaster and member of the the fabrication of RF MEMS switch "Applied Materials has grown to
House of Lords. She is also Director using this novel multiferroic based become IIT Bombay's most
of the Institute for the Future of the actuator. important industry collaborator in
Mind. She has been awarded 30 terms of the scale of research
This work was done under the guidance
Honorary Degrees from British and collaboration," said Professor
of Prof Vaijayanti R Palkar from EE
Foreign universities and heads a Devang Khakhar. "We welcome the
Department, IIT Bombay. Prof Palkar
multi-disciplinary research group establishment of the Applied
who was invited as an honourable guest
exploring novel brain mechanisms Materials CLEAN laboratory
for the award ceremony delivered a
linked to neurodegenerative diseases through Applied's generous support.
lecture on 'Semiconductors in India and
such as Alzheimer’s and Parkinson’s. This will begin a new phase of the
Functional Nano-oxides'.
In addition she has developed an collaboration in areas related to
interest in the impact of 21st Century renewable energy, which are a focus
IIT Bombay, Applied Materials
technologies on how young people of IIT Bombay's research."
think and feel, as discussed in her launch State-of-the-Art Laboratory
The event also celebrates a
book ID.
IIT Bombay, Applied Materials successful five-year relationship
Collaboration and the inauguration of between IIT Bombay and Applied
IIT student wins award for
the "Chemistry Laboratory for Energy Materials for nanoelectronics and
revolutionary research
and Nanoelectronics" (CLEAN) solar photovoltaic technology
Mumbai: Prashanthi Kovur, a PhD research. During the course of this
Applied Materials, Inc. the world's
student from the Centre for Excellence special alliance, Applied Materials
leading supplier of manufacturing
in Nanoelectronics, EE Department, has endowed IIT Bombay with over
solutions for the semiconductor, display
IIT Bombay has been awarded the $12 million for the following
and solar industries, and IIT Bombay,
outstanding student researcher in the projects:
India's highest-rated niversity and a
field of Physics, Chemistry of
leader in education and research, today • The establishment of the
Material for nano-scale devices by the
announced the state-of-the-art "Applied Applied Materials
world largest semiconductor company
Materials Chemistry Laboratory for Nanomanufacturing Laboratory,
TSMC.
Energy and Nanoelectronics" (CLEAN) India's first 200mm
Taiwan Semiconductor Manufacturing at the IIT Bombay (IITB) campus. This semiconductor fabrication
Company (TSMC) is one of the new laboratory expands the scope of facility and one of the few
world's largest semi conductor collaboration between IIT Bombay and university-based 200mm
foundry, which provides leading Applied Materials to include the facilities worldwide.
technologies for the semiconductor development of new materials that can
• Collaborative research on
manufacturing industry. The purpose potentially be used in a variety of
nanoelectronics and solar PV
of the TSMC Outstanding Student electronic and renewable energy-
technology.
Research Award is to recognise focused applications, including the
exceptional semiconductor related fabrication of next-generation solar • Applied's donation of three
research carried out by graduate cells. state-of-the-art physical vapour
students. The competition for this deposition and chemical vapour
The lab was launched at a ceremony
award attracted hundreds of deposition process chambers to
attended by Mike Splinter, chairman of
applications from students from the National Centre for
the board, president and CEO of
various universities all over the world. Photovoltaic Research and
Applied Materials, Omkaram
Education (NCPRE) for
Prashanthi's research is based on the Nalamasu, chief technology officer of
depositing thin films for solar
development of a novel multiferroic Applied Materials, and Prof. Devang
cell applications.
system for MEMS applications. Khakhar, director, IIT Bombay.
Magnetism and ferroelectricity are • A solar PV and LED lighting
"This is a great example of the kind of
essential to many forms of current system that lights up the main
university and corporate collaboration
technology, and the quest for avenue at IITB's campus
that is helping to advance technology
multiferroic materials, where these
by enabling world-class research, • The establishment of The
two phenomena are intimately
innovation and workforce Applied Materials Chemistry
coupled, is of great technological and
development," said Mike Splinter. "Our Laboratory for Energy and
fundamental importance.
goal is to serve as a catalyst for Nanoelectronics
It has been shown for the first time developing the critical technology
that room temperature multiferrocity needed to solve the many challenges of

with significant coupling could be next-generation electronic and solar
achieved in Dy modified BiFeO3 device manufacturing."
system. The current work focuses on

XtraEdge for IIT-JEE 5 MAY 2011
SSuu cccceessss SSttoorryy

This article contains story/interviews of person s who succeed after graduation from different IITs

government and carried out revenue recovery. A Minister
directly telephoned him and ordered to return the forfeited
Mr. Narayanaswamy
articles to the house of the liquor baron. Narayanswamy
politely replied that it is difficult. The minister replied that
IIT Chennai, IAS officer.
Narayanaswamy will suffer.

(Secretary General Education, kerala)
In his district it was a practice to collect crores of rupees

for earthen bunds meant for poor farmers, but which were

never constructed. A bill for rupees 8 crores came up
On passing out from IIT Chennai Mr. Narayanaswamy before Narayanaswamy. He inspected the bund. He found
was offered scholarship by the prestigious Massachusetts it very weak and said that he will pass the bill after the
Institute of Technology, USA. He who came from a rainy season to ensure that the bund served the purpose. As
middle class family believed that he had a moral obligation expected the earthen bund was too weak to stand the rain
to give something in return for the lakhs of rupees the and it disappeared in the rain. But he created a lot of
government spent on him as an IIT student. He had the enemies for saving 8 crores public money.
intelligence and conviction to realize that this money came
The net result of all such unholy activities was that he was
also from the poorest of the poor - who pay up the excise
asked to go on leave by the government. Later such an
duty on textiles when they buy cloth, who pay up customs,
illustrious officer was posted as "State Co-Ordinator,
excise and sales tax on diesel when they travel in a bus,
Quality Improvement Programme for Schools". This is
and in numerous other ways indirectly pay the
what the politician will do to a honest officer with
government. So he decided to join IAS hoping he could do
backbone - post him in the most powerless position to
something for the people of this country. How many young
teach him a lesson.
men have the will power to resist such an offer from USA?
Narayanaswamy did never look at IAS as a black money Since he found that nothing can be achieved for the people
spinner as his later life bears testimony to this fact. if he continued with the State Service he opted for central
service. But that too was denied on some technical ground.
After a decade of meritorious service in IAS, today,
What will you do when you have a brilliant computer
Narayanaswamy is being forced out of the IAS profession.
career anywhere in the world you choose with the backing
Do you know why?
of several advanced technical papers too published in
A real estate agent wanted to fill up a paddy field which is international journals to your credit? When you are
banned under law. An application came up before powerless to do anything for the people, why should you
Narayanaswamy who was sub collector the, for an waste your life as the Co-Ordinator for a Schools
exemption from this rule for this plot of land. Upon Programme?
visiting the site he found that the complaint from 60 poor
Mr. Narayanaswamy is on the verge of leaving IAS to go
families that they will face water logging due to the waste
to Paris to take up a well paid United Nations assignment.
water from a nearby Government Medical College if this
The politicians can laugh thinking another obstacle has
paddy field was filled up was correct. Narayanswamy
been removed. But it is the helpless people of this country
came under intense political pressure but he did what was
who will lose - not Narayanaswamy. But you have the
right - refused permission for filling up the paddy field.
power to support capable and honest bureaucrats like
That was his first confrontation with politicians.
Narayaswamy, G.R.Khairnar and Alphons Kannamthanam
Soon after his marriage his father-in-law closed down a who have suffered a lot under self seeking politicians who
public road to build compound wall for his plot of land. rule us. You have even the power to replace such
People approached Narayanaswamy with complaint. When politicians with these kind of people dedicated to the
talking with his own father-in-law did not help, he country. The question is will you do the little you can do
removed the obstructing wall with police help. The result, NOW? At least a vote or word in support of such
his marriage broke up. personalities?
As district Collector he raided the house of a liquor baron
who had defaulted Rupees 11 crores payment to

XtraEdge for IIT-JEE 6 MAY 2011
KNOW IIT-JEE

By Previous Exam Questions

PHYSICS or H = 2[a + H – (a2+H2) ]
or H = 2a + 2H – 2 (a2+H2)
1. A non-conducting disc of radius a and uniform positive
or 2 (a2+H2) = H + 2a
surface charge density σ is placed on the ground, with
its axis vertical. A particle of mass m and positive or 4a2 + 4H2 = H2 + 4a2 + 4aH
charge q is dropped, along the axis of the disc, from a 4a
or 3H2 = 4aH or H =
height H with zero initial velocity, the particle has 3
q/m = ε0g/σ. [IIT-1990] [Q H = O is not valid]
(a) Find the value of H if the particle just reaches the (B) Total potential energy of the particle at height h
disc qσ
U(x) = mgx + qV(x) = mgx + ( a2+x2 –x)]
(b) Sketch the potential energy of the particle as a 2ε
0
function of its height and find its equilibrium
position. = mgx + 2mg [ (a2+x2) –x]
Sol. (A) Given that : a = radius of disc, σ = surface = mg[2 (a2+x2) –x] ...(ii)
charge density, q/m = 4ε g/s
0
The K.E. of the particle, which it react reaches the dU
From equilibrium : = 0
disc can be taken as zero. dx
Potential due to a charge disc at any axial point a
situated at a distance x from 0. This gives : x =
3
σ
V(x) = [ a2 +x2 –x] From equation (ii) graph between U(x) and x is and
2ε
0 shown above
σ U
Hence, V(H) = [ a2+H2 –H]
2ε
0
σa 2 mga
and V(O) =
2ε
0 3mga
According to law of conservation energy, Loss of
gravitation potential energy = gain in electric
potential energy.
X
H O a/ 3 H = 4a/3
(m,q)
2. Light is incident at an angle α on one planar end of a
transparent cylindrical rod of refractive index.
H
Determine the least value of n so that the light entering
the rod does not emerge from the curved surface of rod
irrespective of the value α [IIT- 1992]
O a

mgH = q∆H = q[V(0) – V(H)]
σ n
mgH = q[a – { (a2+H2) –H}] ...(i)
2ε0 β
α 90 – β
σq
From the given relation : = 2 mg (given)
2ε
0

Putting this is equation (i), we get, Sol. The light entering the rod does not emerge from the
curved surface of the rod when the angle 90 – r is
mgH = 2mg [a – { (a2+H2)–H }]
greater than the critical angle.
XtraEdge for IIT-JEE 7 MAY 2011
1 [Where L is the relative distance between A and B]
i.e., µ ≤ where C is the critical angle.
sinC or t2 = 2L = 2L
Here C = 90 – r a a –a
A/B A B
1 1 Putting values we get, t2 = 4 or t = 2s.]
⇒ µ ≤ ⇒ µ ≤
sin(90–r) cosr Distance moved by B during that time is given by
1
1 S = a t2
As a limiting case µ = ...(i) 2 B
cosr
1 0.79 2×0.7
Applying Snell's law at A = × × 4 = × 10 = 7 2 m
2 2 2
sinα sinα
µ = ⇒ sin r = ...(ii)
sinr µ Similarly for A = 8 2 m.

The smallest angle of incident on the curved surface 4. Two light springs of force constants k and k and a
1 2
π block of mass m are in one line AB on a smooth
is when α = . This can be taken as a limiting case
2 horizontal table such that one end of each spring is
for angle of incidence on plane surface fixed on rigid on rigid supports and the other end is free
sinπ/2 1 shown in the figure. The distance CD between the free
From (ii) sin r = ⇒ µ = ...(iii)
µ sinr ends of the springs is 60 cms. If the block moves along
From (i) and (ii) sin r = cos r AB with a velocity 120 cm/sec in between the springs,
⇒ r = 45º calculate the period of oscillation of the block.
1 1 (k1 = 1.8 N/m, k2 = 3.2 N/m. m = 200 gm)
⇒ µ = =
[IIT-1985]
cos45º 1/ 2

60 cm
⇒ µ = 2 k k
1 2
V
This is the least value of the refractive index of rod
for light entering the rod and not leaving it from the
curved surface. A C m D B
Sol. The mass will strike the right spring, compress it.
3. Two block A and B of equal masses are placed on The K.E. of the mass will convert into P.E. of the
rough inclined plane as shown in figure. When and spring. Again the spring will return to its natural size
where will the two blocks come on the same line on the thereby converting its P.E. to K.E. of the block. The
inclined plane if they are released simultaneously? T
time taken for this process will be . where
2
Initially the block A is 2 m behind the block B.
Co-efficient of kinetic friction for the blocks A and m
T = 2π .
B are 0.2 and 0.3 respectively (g = 10 m/s2). k
[IIT-2005] T m 0.2
∴ t = = π = π = 0.785
2m 1 2 K 1.8
2
A The block will move from A to B without any
acceleration. The time taken will be
B
A 60
t = = 0.5
2
120
B
Now the block will compress the left spring and then
45º
the spring again attains ite natural length. The time
mgsinθ–µ mgcosθ taken will be
Sol. a = k
m m 0.2
t = π = π = 1.05
∴ a = g sin θ – µ g cos θ ...(i) 3
A kA K 1.8
1
and a = g sin θ – m g cos θ ...(ii)
B kB Again the block moves from B to A, completing one
Putting values we get
oscillation. the time taken for doing so
0.89 0.79
a = and α = 60
A 2 B 2 t4 = = 0.5
120
a is relative acceleration of A' w.r.t.
AB ∴ The complete time of oscillation will be
B = a – a
A B = t + t + t + t
1 1 2 3 4
L = 2 m ⇒ L = a t2 = 0.785 + 0.5 + 1.05 + 0.5
A/B
2 = 2.83 (app.)
XtraEdge for IIT-JEE 8 MAY 2011