AIEEE 2012

Paper was held on
Sun, Apr 29, 2012 9:30 AM

## Chemistry

The electrons identified by quantum numbers n and l :
(a) n = 4, $$l$$ = 1
(b) n = 4, $$ l$$ = 0
(c) n = 3, $$l$$ = 2
(d

View Question The increasing order of the ionic radii of the given isoelectronic species is :

View Question Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because :

View Question In which of the following pairs the two species are not isostructural ?

View Question The compressibility factor for a real gas at high pressure is :

View Question The incorrect expression among the following is :

View Question The equilibrium constant (KC) for the reaction N2(g) + O2(g) $$\to$$ 2NO(g) at temperature T is 4 $$\times$$ 10–4. The v

View Question The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, Ka of this acid is :

View Question Which of the following on thermal decomposition yields a basic as well as an acidic oxide?

View Question Very pure hydrogen (99.9%) can be made by which of the following processes?

View Question Which branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of
mono substituted alkyl h

View Question 2–Hexyne gives trans–2–Hexene on treatment with :

View Question Lithium forms body centred cubic structure. The length of the side of its unit cell is 351 pm. Atomic radius
of the lith

View Question According to Freundlich adsorption isotherm, which of the following is correct ?

View Question The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u ) in 1000g of water is
1.15 g/mL. The m

View Question Kf for water is 1.86K kg mol–1. If your automobile radiator holds 1.0 kg of water, how many grams of
ethylene glycol (C2

View Question The standard reduction potentials for Zn2+/ Zn, Ni2+/ Ni, and Fe2+/ Fe are –0.76, –0.23 and –0.44 V respectively. The re

View Question For a first order reaction, (A) $$\to$$ products, the concentration of A changes from 0.1 M to 0.025 M in 40
minutes. Th

View Question Which method of purification is represented by the following equation :
Ti (s) + 2I2 (g) $$\buildrel {523K} \over
\long

View Question The molecule having smallest bond angle is :

View Question Iron exhibits + 2 and +3 oxidation states. Which of the following statements about iron is incorrect?

View Question Which among the following will be named as dibromidobis (ethylene diamine) chromium(III) bromide?

View Question How many chiral compounds are possible on monochlorination of 2–methyl butane ?

View Question What is DDT among the following?

View Question Iodoform can be prepared from all except :

View Question Which of the following compounds can be detected by Molisch’s test ?

View Question The species which can best serve as an initiator for the cationic polymerization is :

View Question Which one of the following statements is correct ?

View Question Aspirin is known as :

View Question In the given transformation, which of the following is the most appropriate reagent ?

View Question ## Mathematics

In a $$\Delta PQR,{\mkern 1mu} {\mkern 1mu} {\mkern 1mu} $$ If $$3{\mkern 1mu} \sin {\mkern 1mu} P + 4{\mkern 1mu} \cos

View Question If $$z \ne 1$$ and $$\,{{{z^2}} \over {z - 1}}\,$$ is real, then the point represented by the complex number z lies :

View Question The equation $${e^{\sin x}} - {e^{ - \sin x}} - 4 = 0$$ has:

View Question Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can b

View Question If $$n$$ is a positive integer, then $${\left( {\sqrt 3 + 1} \right)^{2n}} - {\left( {\sqrt 3 - 1} \right)^{2n}}$$ is

View Question Statement-1: The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) +.....+ (361 + 380 + 400) is 8000.

View Question If the line $$2x + y = k$$ passes through the point which divides the line segment joining the points $$(1, 1)$$ and $$(

View Question The length of the diameter of the circle which touches the $$x$$-axis at the point $$(1, 0)$$ and passes through the poi

View Question STATEMENT-1 : An equation of a common tangent to the parabola $${y^2} = 16\sqrt 3 x$$ and the ellipse $$2{x^2} + {y^2} =

View Question An ellipse is drawn by taking a diameter of thec circle $${\left( {x - 1} \right)^2} + {y^2} = 1$$ as its semi-minor axi

View Question Let $$a,b \in R$$ be such that the function $$f$$ given by $$f\left( x \right) = In\left| x \right| + b{x^2} + ax,\,x \n

View Question A spherical balloon is filled with $$4500\pi $$ cubic meters of helium gas. If a leak in the balloon causes the gas to e

View Question A line is drawn through the point $$(1, 2)$$ to meet the coordinate axes at $$P$$ and $$Q$$ such that it forms a triang

View Question Let $$P$$ and $$Q$$ be $$3 \times 3$$ matrices $$P \ne Q.$$ If $${P^3} = {Q^3}$$ and
$${P^2}Q = {Q^2}P$$ then determina

View Question Let $$A = \left( {\matrix{
1 & 0 & 0 \cr
2 & 1 & 0 \cr
3 & 2 & 1 \cr
} } \right

View Question If the $$\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\,\ln \,\left| {\sin x - 2\cos x} \right| + k,} $$ then $$a$$ is

View Question The area between the parabolas $${x^2} = {y \over 4}$$ and $${x^2} = 9y$$ and the straight line $$y=2$$ is :

View Question If $$g\left( x \right) = \int\limits_0^x {\cos 4t\,dt,} $$ then $$g\left( {x + \pi } \right)$$ equals

View Question The population $$p$$ $$(t)$$ at time $$t$$ of a certain mouse species satisfies the differential equation $${{dp\left( t

View Question Three numbers are chosen at random without replacement from $$\left\{ {1,2,3,..8} \right\}.$$ The probability that their

View Question Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two unit vectors. If the vectors $$\,\overrightarrow c = \wide

View Question A equation of a plane parallel to the plane $$x-2y+2z-5=0$$ and at a unit distance from the origin is :

View Question If the line $${{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}$$ and $${{x - 3} \over 1} = {{y - k} \over 2} =

View Question Let $$ABCD$$ be a parallelogram such that $$\overrightarrow {AB} = \overrightarrow q ,\overrightarrow {AD} = \overrigh

View Question If $$f:R \to R$$ is a function defined by
$$f\left( x \right) = \left[ x \right]\cos \left( {{{2x - 1} \over 2}} \right)

View Question Consider the function, $$f\left( x \right) = \left| {x - 2} \right| + \left| {x - 5} \right|,x \in R$$
Statement - 1 : $

View Question The negation of the statement “If I become a teacher, then I will open a school” is :

View Question Let x1, x2,........., xn be n observations, and let $$\overline x $$ be their arithematic mean and $${\sigma ^2}$$ be th

View Question Let X = {1, 2, 3, 4, 5}. The number of different ordered pairs (Y, Z) that can be formed such that Y $$ \subseteq $$ X,

View Question ## Physics

Resistance of a given wire is obtained by measuring the current flowing in it and the voltage difference
applied across

View Question A spectrometer gives the following reading when used to measure the angle of a prism.
Main scale reading: 58.5 degree
Ve

View Question A boy can throw a stone up to a maximum height of 10 m. The maximum horizontal distance that the boy
can throw the same

View Question Two cars of masses m1 and m2 are moving in circles of radii r1 and r2, respectively. Their speeds are such that they mak

View Question This question has Statement $$1$$ and Statement $$2.$$ Of the four choices given after the Statements, choose the one th

View Question The mass of a spaceship is $$1000$$ $$kg.$$ It is to be launched from the earth's surface out into free space. The value

View Question A Carnot engine, whose efficiency is $$40\% $$, takes in heat from a source maintained at a temperature of $$500$$ $$K.$

View Question A thin liquid film formed between a U-shaped wire and a light slider supports a weight of $$1.5 \times {10^{ - 2}}\,\,N$

View Question Helium gas goes through a cycle $$ABCD$$ (consisting of two isochoric and isobaric lines) as shown in figure efficiency

View Question A liquid in a beaker has temperature $$\theta \left( t \right)$$ at time $$t$$ and $${\theta _0}$$ is temperature of sur

View Question A wooden wheel of radius $$R$$ is made of two semicircular part (see figure). The two parts are held together by a ring

View Question If a simple pendulum has significant amplitude (up to a factor of $$1/e$$ of original ) only in the period between $$t =

View Question A cylindrical tube, open at both ends, has a fundamental frequency, $$f,$$ in air. The tube is dipped vertically in wate

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

View Question In a uniformly charged sphere of total charge $$Q$$ and radius $$R,$$ the electric field $$E$$ is plotted as function of

View Question Two electric bulbs marked $$25W$$ $$-$$ $$220$$ $$V$$ and $$100W$$ $$-$$ $$220V$$ are connected in series to a $$440$$ $

View Question Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic fi

View Question A charge $$Q$$ is uniformly distributed over the surface of non-conducting disc of radius $$R.$$ The disc rotates about

View Question A coil is suspended in a uniform magnetic field, with the plane of the coil parallel to the magnetic lines of force. Whe

View Question In Young's double slit experiment , one of the slit is wider than other, so that amplitude of the light from one slit is

View Question An electromagnetic wave in vacuum has the electric and magnetic field $$\mathop E\limits^ \to $$and $$\mathop B\limits^

View Question An object $$2.4$$ $$m$$ in front of a lens forms a sharp image on a film $$12$$ $$cm$$ behind the lens. A glass plate $

View Question Hydrogen atom is excited from ground state to another state with principal quantum number equal to $$4.$$ Then the numbe

View Question A radar has a power of $$1kW$$ and is operating at a frequency of $$10$$ $$GHz.$$ It is located on a mountain top of hei

View Question Assume that a neutron breaks into a proton and an electron. The energy released during this process is : (mass of neutr

View Question A diatomic molecule is made of two masses $${m_1}$$ and $${m_2}$$ which are separated by a distance $$r.$$ If we calcula

View Question Truth table for system of four $$NAND$$ gates as shown in figure is:

View Question A particle of mass $$m$$ is at rest at the origin at time $$t=0.$$ It is subjected to a force $$F\left( t \right) = {F_0

View Question This question has Statement 1 and Statement 2. Of the four choices given after the statements, choose the one that best

View Question The figure shows an experimental plot for discharging of a capacitor in an R-C circuit. The time constant $$\tau $$ of t

View Question