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AIEEE 2012

Exam Held on Sun Apr 29 2012 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The electrons identified by quantum numbers n and l :<br> (a) n = 4, $$l$$ = 1<b...
The increasing order of the ionic radii of the given isoelectronic species is :
Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because :...
In which of the following pairs the two species are not isostructural ?
The compressibility factor for a real gas at high pressure is :
The incorrect expression among the following is :
The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization ...
The equilibrium constant (K<sub>C</sub>) for the reaction N<sub>2</sub>(g) + O<s...
Which of the following on thermal decomposition yields a basic as well as an aci...
Very pure hydrogen (99.9%) can be made by which of the following processes ?
Which branched chain isomer of the hydrocarbon with molecular mass 72u gives onl...
2–Hexyne gives trans–2–Hexene on treatment with :
According to Freundlich adsorption isotherm, which of the following is correct ?...
Lithium forms body centred cubic structure. The length of the side of its unit c...
The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u...
K<sub>f</sub> for water is 1.86K kg mol<sup>–1</sup>. If your automobile radiato...
The standard reduction potentials for Zn<sup>2+</sup>/ Zn, Ni<sup>2+</sup>/ Ni, ...
For a first order reaction, (A) $$\to$$ products, the concentration of A changes...
Which method of purification is represented by the following equation :<br> Ti (...
The molecule having smallest bond angle is :
Iron exhibits + 2 and +3 oxidation states. Which of the following statements abo...
Which among the following will be named as dibromidobis (ethylene diamine) chrom...
How many chiral compounds are possible on monochlorination of 2–methyl butane ?
What is DDT among the following?
Iodoform can be prepared from all except :
The species which can best serve as an initiator for the cationic polymerization...
Which of the following compounds can be detected by Molisch’s test ?
Which one of the following statements is correct ?
Aspirin is known as :
In the given transformation, which of the following is the most appropriate reag...

Mathematics

In a $$\Delta PQR,{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} $$ If $$3{\mkern 1mu} ...
If $$z \ne 1$$ and $$\,{{{z^2}} \over {z - 1}}\,$$ is real, then the point repre...
The equation $${e^{\sin x}} - {e^{ - \sin x}} - 4 = 0$$ has:
Assuming the balls to be identical except for difference in colours, the number ...
If $$n$$ is a positive integer, then $${\left( {\sqrt 3 + 1} \right)^{2n}} - {\...
<p> <b> Statement-1: </b> The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + ...
If the line $$2x + y = k$$ passes through the point which divides the line segme...
The length of the diameter of the circle which touches the $$x$$-axis at the poi...
<b>STATEMENT-1 :</b> An equation of a common tangent to the parabola $${y^2} = 1...
An ellipse is drawn by taking a diameter of thec circle $${\left( {x - 1} \right...
A spherical balloon is filled with $$4500\pi $$ cubic meters of helium gas. If a...
Let $$a,b \in R$$ be such that the function $$f$$ given by $$f\left( x \right) =...
A line is drawn through the point $$(1, 2)$$ to meet the coordinate axes at $$P...
Let $$A = \left( {\matrix{ 1 &amp; 0 &amp; 0 \cr 2 &amp; 1 &amp; 0 \cr ...
Let $$P$$ and $$Q$$ be $$3 \times 3$$ matrices $$P \ne Q.$$ If $${P^3} = {Q^3}$$...
If the $$\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\,\ln \,\left| {\sin x - ...
The area between the parabolas $${x^2} = {y \over 4}$$ and $${x^2} = 9y$$ and t...
If $$g\left( x \right) = \int\limits_0^x {\cos 4t\,dt,} $$ then $$g\left( {x + \...
The population $$p$$ $$(t)$$ at time $$t$$ of a certain mouse species satisfies ...
Three numbers are chosen at random without replacement from $$\left\{ {1,2,3,..8...
Let $$\overrightarrow a $$ and $$\overrightarrow b $$ two unit vectors. If the v...
A equation of a plane parallel to the plane $$x-2y+2z-5=0$$ and at a unit distan...
If the line $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}$$ and $$...
Let $$ABCD$$ be a parallelogram such that $$\overrightarrow {AB} = \overrightar...
Consider the function, $$f\left( x \right) = \left| {x - 2} \right| + \left| {x ...
If $$f:R \to R$$ is a function defined by <br><br>$$f\left( x \right) = \left[ x...
The negation of the statement “If I become a teacher, then I will open a school”...
Let x<sub>1</sub>, x<sub>2</sub>,........., x<sub>n</sub> be n observations, and...
Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can b...

Physics

Resistance of a given wire is obtained by measuring the current flowing in it an...
A spectrometer gives the following reading when used to measure the angle of a p...
Two cars of masses m<sub>1</sub> and m<sub>2</sub> are moving in circles of radi...
A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal d...
This question has Statement $$1$$ and Statement $$2.$$ Of the four choices given...
The mass of a spaceship is $$1000$$ $$kg.$$ It is to be launched from the earth'...
A Carnot engine, whose efficiency is $$40\% $$, takes in heat from a source main...
A thin liquid film formed between a U-shaped wire and a light slider supports a ...
Helium gas goes through a cycle $$ABCD$$ (consisting of two isochoric and isobar...
A liquid in a beaker has temperature $$\theta \left( t \right)$$ at time $$t$$ a...
A wooden wheel of radius $$R$$ is made of two semicircular part (see figure). Th...
If a simple pendulum has significant amplitude (up to a factor of $$1/e$$ of ori...
A cylindrical tube, open at both ends, has a fundamental frequency, $$f,$$ in ai...
In a uniformly charged sphere of total charge $$Q$$ and radius $$R,$$ the electr...
This question has statement- $$1$$ and statement- $$2.$$ Of the four choices giv...
Two electric bulbs marked $$25W$$ $$-$$ $$220$$ $$V$$ and $$100W$$ $$-$$ $$220V$...
Proton, deuteron and alpha particle of same kinetic energy are moving in circula...
A charge $$Q$$ is uniformly distributed over the surface of non-conducting disc ...
A coil is suspended in a uniform magnetic field, with the plane of the coil para...
In Young's double slit experiment , one of the slit is wider than other, so that...
An electromagnetic wave in vacuum has the electric and magnetic field $$\mathop ...
An object $$2.4$$ $$m$$ in front of a lens forms a sharp image on a film $$12$$ ...
Hydrogen atom is excited from ground state to another state with principal quant...
A radar has a power of $$1kW$$ and is operating at a frequency of $$10$$ $$GHz.$...
Assume that a neutron breaks into a proton and an electron. The energy released...
A diatomic molecule is made of two masses $${m_1}$$ and $${m_2}$$ which are sepa...
Truth table for system of four $$NAND$$ gates as shown in figure is: <img class=...
A particle of mass $$m$$ is at rest at the origin at time $$t=0.$$ It is subject...
This question has Statement 1 and Statement 2. Of the four choices given after t...
The figure shows an experimental plot for discharging of a capacitor in an R-C c...

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