AIEEE 2011

Paper was held on
Sun, May 1, 2011 9:30 AM

## Chemistry

A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at
680 nm, the other is at :

View Question
Which one of the following order represents the correct sequence of the increasing basic nature of the
given oxides ?

View Question
Among the following the maximum covalent character is shown by the compound :

View Question
The hybridization of orbitals of N atom in $$NO_3^-$$, $$NO_2^+$$ and $$NH_4^+$$ are respectively :

View Question
The structure of IF7 is :

View Question
'a’ and `b’ are van der Waals’ constants for gases. Chlorine is more easily liquefied than ethane because

View Question
The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a
volume of 10 dm3 to

View Question
A vessel at 1000 K contains CO2 with a pressure of 0.5 atm. Some of the CO2 is converted into CO on
the addition of grap

View Question
Identify the compound that exhibits tautomerism.

View Question
Ozonolysis of an organic compound gives formaldehyde as one of the products. This confirms the
presence of :

View Question
In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre
positions. If

View Question
The degree of dissociation ($$\alpha$$ ) of a weak electrolyte, AxBy is related to van’t Hoff factor (i) by the expressi

View Question
A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl
alcohol in the s

View Question
Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be
added to 4 kg of wat

View Question
The reduction potential of hydrogen half cell will be negative if :

View Question
The rate of a chemical reaction doubles for every 10oC rise of temperature. If the temperature is raised
by 50oC , the r

View Question
Which of the following statements regarding sulphur is incorrect?

View Question
Which of the following statement is wrong?

View Question
Boron cannot form which one of the following anions?

View Question
In context of the lanthanoids, which of the following statements is not correct?

View Question
Which of the following facts about the complex [Cr (NH3)6 ]Cl3 is wrong?

View Question
The magnetic moment (spin only) of [NiCl4]2− is

View Question
Phenol is heated with a solution of mixture of KBr and KBrO3. The major product obtained in the above
reaction is

View Question
Which of the following reagents may be used to distinguish between phenol and benzoic acid ?

View Question
Trichloroacetaldehyde was subjected to Cannizzaro’s reaction by using NaOH. The mixture of the
products contains sodium

View Question
The strongest acid amongst the following compounds is :

View Question
Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above
reaction is

View Question
Silver Mirror test is given by which one of the following compounds ?

View Question
The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA and DNA ?

View Question
Outer electronic configuration of Gd (Atomic no : 64) is -

View Question
The outer electron configuration of $$Gd$$ (Atomic No. $$64$$) is :

View Question
## Mathematics

If $$A = {\sin ^2}x + {\cos ^4}x,$$ then for all real $$x$$:

View Question
Let $$\alpha \,,\beta $$ be real and z be a complex number. If $${z^2} + \alpha z + \beta = 0$$ has two distinct roots

View Question
If $$\omega ( \ne 1)$$ is a cube root of unity, and $${(1 + \omega )^7} = A + B\omega \,$$. Then $$(A,B)$$ equals :

View Question
These are 10 points in a plane, out of these 6 are collinear, if N is the number of triangles formed by joining these po

View Question
Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is emply is

View Question
The coefficient of $${x^7}$$ in the expansion of $${\left( {1 - x - {x^2} + {x^3}} \right)^6}$$ is

View Question
A man saves ₹ 200 in each of the first three months of his service. In each of the subsequent months his saving increase

View Question
The lines $${L_1}:y - x = 0$$ and $${L_2}:2x + y = 0$$ intersect the line $${L_3}:y + 2 = 0$$ at $$P$$ and $$Q$$ respect

View Question
The two circles x2 + y2 = ax, and x2 + y2 = c2 (c > 0) touch each other if :

View Question
Equation of the ellipse whose axes of coordinates and which passes through the point $$(-3,1)$$ and has eccentricity $$\

View Question
$${{{d^2}x} \over {d{y^2}}}$$ equals:

View Question
For $$x \in \left( {0,{{5\pi } \over 2}} \right),$$ define $$f\left( x \right) = \int\limits_0^x {\sqrt t \sin t\,dt.} $

View Question
The shortest distance between line $$y-x=1$$ and curve $$x = {y^2}$$ is

View Question
Let $$A$$ and $$B$$ be two symmetric matrices of order $$3$$.
Statement - 1 : $$A(BA)$$ and $$(AB)$$$$A$$ are symmetri

View Question
The number of values of $$k$$ for which the linear equations
$$4x + ky + 2z = 0,kx + 4y + z = 0$$ and $$2x+2y+z=0$$ pos

View Question
The value of $$\int\limits_0^1 {{{8\log \left( {1 + x} \right)} \over {1 + {x^2}}}} dx$$ is

View Question
The area of the region enclosed by the curves $$y = x,x = e,y = {1 \over x}$$ and the positive $$x$$-axis is :

View Question
Let $$I$$ be the purchase value of an equipment and $$V(t)$$ be the value after it has been used for $$t$$ years. The va

View Question
If $${{dy} \over {dx}} = y + 3 > 0\,\,$$ and $$y(0)=2,$$ then $$y\left( {\ln 2} \right)$$ is equal to :

View Question
Consider $$5$$ independent Bernoulli's trials each with probability of success $$p.$$ If the probability of at least one

View Question
If $$C$$ and $$D$$ are two events such that $$C \subset D$$ and $$P\left( D \right) \ne 0,$$ then the correct statement

View Question
The vectors $$\overrightarrow a $$ and $$\overrightarrow b $$ are not perpendicular and $$\overrightarrow c $$ and $$\ov

View Question
If the angle between the line $$x = {{y - 1} \over 2} = {{z - 3} \over \lambda }$$ and the plane
$$x+2y+3z=4$$ is $${\c

View Question
Statement - 1 : The point $$A(1,0,7)$$ is the mirror image of the point
$$B(1,6,3)$$ in the line : $${x \over 1} = {{y

View Question
If $$\overrightarrow a = {1 \over {\sqrt {10} }}\left( {3\widehat i + \widehat k} \right)$$ and $$\overrightarrow b =

View Question
The domain of the function f(x) = $${1 \over {\sqrt {\left| x \right| - x} }}$$ is

View Question
$$\mathop {\lim }\limits_{x \to 2} \left( {{{\sqrt {1 - \cos \left\{ {2(x - 2)} \right\}} } \over {x - 2}}} \right)$$

View Question
The value of $$p$$ and $$q$$ for which the function
$$f\left( x \right) = \left\{ {\matrix{
{{{\sin (p + 1)x + \sin x

View Question
Consider the following statements
P : Suman is brilliant
Q : Suman is rich
R : Suman is honest
The negation of the s

View Question
If the mean deviation about the median of the numbers a, 2a,........., 50a is 50, then |a| equals

View Question
Let $R$ be the set of real numbers.
Statement I : $A=\{(x, y) \in R \times R: y-x$ is an integer $\}$ is an equivalence

View Question
Let $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be three non-zero vectors which are pairwise

View Question
## Physics

A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circula

View Question
An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by :
$${{dv} \over {dt}} = - 2.5\sqrt v $$ w

View Question
A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the
fountain is v, the

View Question
A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a

View Question
A mass $$m$$ hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass $$m$

View Question
A pulley of radius $$2$$ $$m$$ is rotated about its axis by a force $$F = \left( {20t - 5{t^2}} \right)$$ newton (where

View Question
Two bodies of masses $$m$$ and $$4$$ $$m$$ are placed at a distance $$r.$$ The gravitational potential at a point on the

View Question
Work done in increasing the size of a soap bubble from a radius of $$3$$ $$cm$$ to $$5$$ $$cm$$ is nearly (Surface tensi

View Question
Water is flowing continuously from a tap having an internal diameter $$8 \times {10^{ - 3}}\,\,m.$$ The water velocity a

View Question
Three perfect gases at absolute temperatures $${T_1},\,{T_2}$$ and $${T_3}$$ are mixed. The masses of molecules are $${m

View Question
A Carnot engine operating between temperatures $${{T_1}}$$ and $${{T_2}}$$ has efficiency $${1 \over 6}$$. When $${T_2}$

View Question
A thermally insulated vessel contains an ideal gas of molecular mass $$M$$ and ratio of specific heats $$\gamma .$$ It i

View Question
$$100g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C$$. Ignoring the slight expansion of the water, the

View Question
A mass $$M,$$ attached to a horizontal spring, executes $$S.H.M.$$ with amplitude $${A_1}.$$ When the mass $$M$$ passes

View Question
Two particles are executing simple harmonic motion of the same amplitude $$A$$ and frequency $$\omega $$ along the $$x$$

View Question
The transverse displacement $$y(x, t)$$ of a wave on a string is given by $$y\left( {x,t} \right) = {e^{ - \left( {a{x^2

View Question
Two identical charged spheres suspended from a common point by two massless strings of length $$l$$ are initially a dist

View Question
The electrostatic potential inside a charged spherical ball is given by $$\phi = a{r^2} + b$$ where $$r$$ is the distan

View Question
If a wire is stretched to make it $$0.1\% $$ longer, its resistance will:

View Question
A current $$I$$ flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius $$R.$$

View Question
A fully charged capacitor $$C$$ with initial charge $${q_0}$$ is connected to a coil of self inductance $$L$$ at $$t=0.$

View Question
A boat is moving due east in a region where the earth's magnetic fields is $$5.0 \times {10^{ - 5}}$$ $$N{A^{ - 1}}\,{m^

View Question
A resistor $$'R'$$ and $$2\mu F$$ capacitor in series is connected through a switch to $$200$$ $$V$$ direct supply. Acro

View Question
Let $$x$$-$$z$$ plane be the boundary between two transparent media. Medium $$1$$ in $$z \ge 0$$ has a refractive index

View Question
A car is fitted with a convex side-view mirror of focal length $$20$$ $$cm$$. A second car $$2.8m$$ behind the first car

View Question
This question has a paragraph followed by two statements, Statement $$-1$$ and Statement $$-2$$. Of the given four alte

View Question
This question has Statement - $$1$$ and Statement - $$2$$. Of the four choices given after the statements, choose the on

View Question
Energy required for the electron excitation in $$L{i^{ + + }}$$ from the first to the third Bohr orbit is :

View Question
This question has Statement - $$1$$ and Statement - $$2$$. Of the four choices given after the statements, choose the on

View Question
The half life of a radioactive substance is $$20$$ minutes. The approximate time interval $$\left( {{t_2} - {t_1}} \righ

View Question