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AIEEE 2009

Exam Held on Mon Apr 27 2009 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 x...
In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0....
In which of the following arrangements, the sequence is not strictly according t...
Using MO theory, predict which of the following species has the shortest bond le...
On the basis of the following thermochemical data : <br>($$\Delta _fG^oH^+_{(aq)...
Solid Ba(NO<sub>3</sub>)<sub>2</sub> is gradually dissolved in a 1.0 $$\times$$ ...
Arrange the carbanions, $${(C{H_3})_3}\overline C $$, $$\overline C C{l_3}$$ , ...
The IUPAC name of neopentane is
The alkene that exhibits geometrical isomerism is :
The number of stereoisomers possible for a compound of the molecular formula CH<...
Which of the following statements is incorrect regarding physisorptions ?
Copper crystallizes in fcc with a unit cell length of 361 pm. What is the radius...
A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one ...
Two liquids X and Y form an ideal solution. At 300K, vapour pressure of the solu...
Given : $$E_{F{e^{3 + }}/Fe}^o$$ = -0.036V; $$E_{F{e^{2 + }}/Fe}^o$$ = -0.439 V...
In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. T...
The half life period of a first order chemical reaction is 6.93 minutes. The tim...
Which one of the following reactions of Xenon compounds is not feasible ?
Knowing that the Chemistry of lanthanoids (Ln) is dominated by its +3 oxidation ...
In context with the transition elements, which of the following statements is in...
Which of the following has an optical isomer ?
Which of the following pairs represents linkage isomers ?
The major product obtained on interaction of phenol with sodium hydroxide and ca...
A liquid was mixed with ethanol and a drop of concentrated H<sub>2</sub>SO<sub>4...
In Cannizzaro reaction given below <br> 2PhCHO $$\buildrel {\mathop {:OH}\limits...
Which of the following on heating with aqueous KOH, produces acetaldehyde ?
The two functional groups present in a typical carbohydrate are
Buna-$$N$$ synthetic rubber is a copolymer of :
In which of the following arrangements, the sequence is not strictly according t...
The set representing the correct order of ionic radius is :

Mathematics

Let <b>A</b> and <b>B</b> denote the statements <p><b>A</b>: $$\cos \alpha + \...
The quadratic equations $${x^2} - 6x + a = 0$$ and $${x^2} - cx + 6 = 0$$ have o...
If $$\,\left| {z - {4 \over z}} \right| = 2,$$ then the maximum value of $$\,\le...
If the roots of the equation $$b{x^2} + cx + a = 0$$ imaginary, then for all rea...
From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary ...
The remainder left out when $${8^{2n}} - {\left( {62} \right)^{2n + 1}}$$ is div...
The sum to infinite term of the series $$1 + {2 \over 3} + {6 \over {{3^2}}} + {...
The shortest distance between the line $$y - x = 1$$ and the curve $$x = {y^2}$$...
The lines $$p\left( {{p^2} + 1} \right)x - y + q = 0$$ and $$\left( {{p^2} + 1} ...
Three distinct points A, B and C are given in the 2 -dimensional coordinates pla...
If $$P$$ and $$Q$$ are the points of intersection of the circles <br>$${x^2} + ...
The ellipse $${x^2} + 4{y^2} = 4$$ is inscribed in a rectangle aligned with the ...
Let $$y$$ be an implicit function of $$x$$ defined by $${x^{2x}} - 2{x^x}\cot \,...
Let $$f\left( x \right) = x\left| x \right|$$ and $$g\left( x \right) = \sin x.$...
Given $$P\left( x \right) = {x^4} + a{x^3} + b{x^2} + cx + d$$ such that $$x=0$$...
Let $$A$$ be a $$\,2 \times 2$$ matrix <br><b>Statement - 1 :</b> $$adj\left( {a...
Let $$a, b, c$$ be such that $$b\left( {a + c} \right) \ne 0$$ if <p>$$\left| {\...
The area of the region bounded by the parabola $${\left( {y - 2} \right)^2} = x ...
$$\int\limits_0^\pi {\left[ {\cot x} \right]dx,} $$ where $$\left[ . \right]$$ ...
The differential equation which represents the family of curves $$y = {c_1}{e^{{...
One ticket is selected at random from $$50$$ tickets numbered $$00, 01, 02, .......
In a binomial distribution $$B\left( {n,p = {1 \over 4}} \right),$$ if the prob...
Let the line $$\,\,\,\,\,$$ $${{x - 2} \over 3} = {{y - 1} \over { - 5}} = {{z +...
The projections of a vector on the three coordinate axis are $$6,-3,2$$ respecti...
If $$\overrightarrow u ,\overrightarrow v ,\overrightarrow w $$ are non-coplanar...
Let $$f\left( x \right) = {\left( {x + 1} \right)^2} - 1,x \ge - 1$$ <br><br><b...
For real x, let f(x) = x<sup>3</sup> + 5x + 1, then
<b>Statement-1 :</b> $$ \sim \left( {p \leftrightarrow \sim q} \right)$$ is equ...
If the mean deviation of number 1, 1 + d, 1 + 2d,........, 1 + 100d from their m...
<b>Statement - 1 :</b> The variance of first n even natural numbers is $${{{n^2}...

Physics

In an experiment the angles are required to be measured using an instrument, 29 ...
A particle has an initial velocity $$3\widehat i + 4\widehat j$$ and an accelera...
A thin uniform rod of length $$l$$ and mass $$m$$ is swinging freely about a hor...
The height at which the acceleration due to gravity becomes $${g \over 9}$$ (whe...
Two wires are made of the same material and have the same volume. However wire $...
<b>Statement - 1:</b> The temperature dependence of resistance is usually given ...
One $$kg$$ of a diatomic gas is at a pressure of $$8 \times {10^4}\,N/{m^2}.$$ T...
A long metallic bar is carrying heat from one of its ends to the other end under...
Two moles of helium gas are taken over the cycle $$ABCD,$$ as shown in the $$P$$...
Two moles of helium gas are taken over the cycle $$ABCD,$$ as shown in the $$P$$...
Two moles of helium gas are taken over the cycle $$ABCD$$, as shown in the $$P$$...
If $$x,$$ $$v$$ and $$a$$ denote the displacement, the velocity and the accelera...
Three sound waves of equal amplitudes have frequencies $$\left( {v - 1} \right),...
A motor cycle starts from rest and accelerates along a straight path at $$2m/{s^...
Let $$P\left( r \right) = {Q \over {\pi {R^4}}}r$$ be the change density distrib...
(This question contains Statement-1 and Statement-2. Of the four choices given a...
Two points $$P$$ and $$Q$$ are maintained at the potentials of $$10$$ $$V$$ and ...
A charge $$Q$$ is placed at each of the opposite corners of a square. A charge $...
A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the ...
A current loop $$ABCD$$ is held fixed on the plane of the paper as shown in the ...
A mixture of light, consisting of wavelength $$590$$ $$mm$$ and an unknown wavel...
In an optics experiment, with the position of the object fixed, a student varies...
An inductor of inductance $$L=400$$ $$mH$$ and resistors of resistance $${R_1} =...
A transparent solid cylindrical rod has a refractive index of $${2 \over {\sqrt ...
The surface of a metal is illuminated with the light of $$400$$ $$nm.$$ The kine...
The transition from the state $$n=4$$ to $$n=3$$ in a hydrogen like atom result...
The logic circuit shown below has the input waveforms $$'A'$$ and $$'B'$$ as sho...
<img class="question-image" src="https://imagex.cdn.examgoal.net/Iwba6l7huXtb4cV...
A $$p$$-$$n$$ junction $$(D)$$ shown in the figure can act as a rectifier. An al...
Consider a rubber ball freely falling from a height $$h=4.9$$ $$m$$ onto a hori...

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