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AIEEE 2011

Exam Held on Sun May 01 2011 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emi...
Which one of the following order represents the correct sequence of the increasi...
Among the following the maximum covalent character is shown by the compound :
The hybridization of orbitals of N atom in $$NO_3^-$$, $$NO_2^+$$ and $$NH_4^+$$...
The structure of IF<sub>7</sub> is :
'a’ and `b’ are van der Waals’ constants for gases. Chlorine is more easily liqu...
The entropy change involved in the isothermal reversible expansion of 2 moles of...
A vessel at 1000 K contains CO<sub>2</sub> with a pressure of 0.5 atm. Some of t...
Identify the compound that exhibits tautomerism.
Ozonolysis of an organic compound gives formaldehyde as one of the products. Thi...
In a face centred cubic lattice, atom A occupies the corner positions and atom B...
A 5.2 molal aqueous solution of methyl alcohol, CH<sub>3</sub>OH, is supplied. W...
Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene gly...
The degree of dissociation ($$\alpha$$ ) of a weak electrolyte, A<sub>x</sub>B<s...
The reduction potential of hydrogen half cell will be negative if :
The rate of a chemical reaction doubles for every 10<sup>o</sup>C rise of temper...
Which of the following statement is wrong ?
Which of the following statements regarding sulphur is incorrect ?
Boron cannot form which one of the following anions ?
In context of the lanthanoids, which of the following statements is not correct ...
Which of the following facts about the complex [Cr (NH<sub>3</sub>)<sub>6</sub> ...
The magnetic moment (spin only) of [NiCl<sub>4</sub>]<sup>2−</sup> is
Phenol is heated with a solution of mixture of KBr and KBrO<sub>3</sub>. The maj...
Which of the following reagents may be used to distinguish between phenol and be...
Trichloroacetaldehyde was subjected to Cannizzaro’s reaction by using NaOH. The ...
The strongest acid amongst the following compounds is :
Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produce...
Silver Mirror test is given by which one of the following compounds ?
The presence or absence of hydroxyl group on which carbon atom of sugar differen...
Outer electronic configuration of Gd (Atomic no : 64) is -
The outer electron configuration of $$Gd$$ (Atomic No. $$64$$) is :

Mathematics

If $$A = {\sin ^2}x + {\cos ^4}x,$$ then for all real $$x$$:
Let $$\alpha \,,\beta $$ be real and z be a complex number. If $${z^2} + \alpha ...
If $$\omega ( \ne 1)$$ is a cube root of unity, and $${(1 + \omega )^7} = A + B\...
These are 10 points in a plane, out of these 6 are collinear, if N is the number...
<br> <b> Statement - 1: </b> The number of ways of distributing 10 identical bal...
The coefficient of $${x^7}$$ in the expansion of $${\left( {1 - x - {x^2} + {x^3...
A man saves ₹ 200 in each of the first three months of his service. In each of t...
The lines $${L_1}:y - x = 0$$ and $${L_2}:2x + y = 0$$ intersect the line $${L_3...
The two circles x<sup>2</sup> + y<sup>2</sup> = ax, and x<sup>2</sup> + y<sup>2<...
Equation of the ellipse whose axes of coordinates and which passes through the p...
$${{{d^2}x} \over {d{y^2}}}$$ equals:
For $$x \in \left( {0,{{5\pi } \over 2}} \right),$$ define $$f\left( x \right) =...
The shortest distance between line $$y-x=1$$ and curve $$x = {y^2}$$ is
Let $$A$$ and $$B$$ be two symmetric matrices of order $$3$$. <br><b>Statement...
The number of values of $$k$$ for which the linear equations <br>$$4x + ky + 2z...
The value of $$\int\limits_0^1 {{{8\log \left( {1 + x} \right)} \over {1 + {x^2}...
The area of the region enclosed by the curves $$y = x,x = e,y = {1 \over x}$$ an...
Let $$I$$ be the purchase value of an equipment and $$V(t)$$ be the value after ...
If $${{dy} \over {dx}} = y + 3 &gt; 0\,\,$$ and $$y(0)=2,$$ then $$y\left( {\ln ...
Consider $$5$$ independent Bernoulli's trials each with probability of success $...
If $$C$$ and $$D$$ are two events such that $$C \subset D$$ and $$P\left( D \rig...
If the angle between the line $$x = {{y - 1} \over 2} = {{z - 3} \over \lambda }...
The vectors $$\overrightarrow a $$ and $$\overrightarrow b $$ are not perpendicu...
<b>Statement - 1:</b> The point $$A(1,0,7)$$ is the mirror image of the point <...
If $$\overrightarrow a = {1 \over {\sqrt {10} }}\left( {3\widehat i + \widehat ...
The domain of the function f(x) = $${1 \over {\sqrt {\left| x \right| - x} }}$$ ...
$$\mathop {\lim }\limits_{x \to 2} \left( {{{\sqrt {1 - \cos \left\{ {2(x - 2)} ...
The value of $$p$$ and $$q$$ for which the function <br><br>$$f\left( x \right) ...
Consider the following statements <br>P : Suman is brilliant <br>Q : Suman is ...
If the mean deviation about the median of the numbers a, 2a,........., 50a is 50...

Physics

A screw gauge gives the following reading when used to measure the diameter of a...
A water fountain on the ground sprinkles water all around it. If the speed of wa...
An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by : ...
A thin horizontal circular disc is rotating about a vertical axis passing throug...
A mass $$m$$ hangs with the help of a string wrapped around a pulley on a fricti...
A pulley of radius $$2$$ $$m$$ is rotated about its axis by a force $$F = \left(...
Two bodies of masses $$m$$ and $$4$$ $$m$$ are placed at a distance $$r.$$ The g...
Work done in increasing the size of a soap bubble from a radius of $$3$$ $$cm$$ ...
Water is flowing continuously from a tap having an internal diameter $$8 \times ...
A Carnot engine operating between temperatures $${{T_1}}$$ and $${{T_2}}$$ has e...
A thermally insulated vessel contains an ideal gas of molecular mass $$M$$ and r...
Three perfect gases at absolute temperatures $${T_1},\,{T_2}$$ and $${T_3}$$ are...
$$100g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C$$. Ignorin...
Two particles are executing simple harmonic motion of the same amplitude $$A$$ a...
A mass $$M,$$ attached to a horizontal spring, executes $$S.H.M.$$ with amplitud...
The transverse displacement $$y(x, t)$$ of a wave on a string is given by $$y\le...
The electrostatic potential inside a charged spherical ball is given by $$\phi ...
Two identical charged spheres suspended from a common point by two massless stri...
If a wire is stretched to make it $$0.1\% $$ longer, its resistance will:
A current $$I$$ flows in an infinitely long wire with cross section in the form ...
A fully charged capacitor $$C$$ with initial charge $${q_0}$$ is connected to a ...
A boat is moving due east in a region where the earth's magnetic fields is $$5.0...
A resistor $$'R'$$ and $$2\mu F$$ capacitor in series is connected through a swi...
Let $$x$$-$$z$$ plane be the boundary between two transparent media. Medium $$1$...
This question has a paragraph followed by two statements, Statement $$-1$$ and ...
A car is fitted with a convex side-view mirror of focal length $$20$$ $$cm$$. A ...
Energy required for the electron excitation in $$L{i^{ + + }}$$ from the first ...
This question has Statement - $$1$$ and Statement - $$2$$. Of the four choices g...
This question has Statement - $$1$$ and Statement - $$2$$. Of the four choices g...
The half life of a radioactive substance is $$20$$ minutes. The approximate time...

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