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AIEEE 2010

Exam Held on Sun Apr 25 2010 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The energy required to break one mole of Cl–Cl bonds in Cl<sub>2</sub> is 242 kJ...
Ionisation energy of He<sup>+</sup> is 19.6 x 10<sup>–18</sup> J atom<sup>–1</su...
The correct sequence which shows decreasing order of the ionic radii of the elem...
If 10<sup>–4</sup> dm<sup>3</sup> of water is introduced into a 1.0 dm<sup>3</su...
The standard enthalpy of formation of NH<sub>3</sub> is –46.0 kJ mol<sup>–1</sup...
For a particular reversible reaction at temperature T, ∆H and ∆S were found to b...
Three reactions involving $$H_2PO_4^−$$ are given below :<br> (i) H<sub>3</sub>P...
At 25°C, the solubility product of Mg(OH)<sub>2</sub> is 1.0 $$\times$$ 10<sup>–...
In aqueous solution the ionization constants for carbonic acid are<br> K<sub>1</...
Solubility product of silver bromide is 5.0 $$\times$$ 10<sup>–13</sup>. The qua...
Out of the following, the alkene that exhibits optical isomerism is
The correct order of increasing basicity of the given conjugate bases (R = CH<su...
One mole of a symmetrical alkene on ozonolysis gives two moles of an aldehyde ha...
The edge length of a face centered cubic cell of an ionic substance is 508 pm. I...
Percentages of free space in cubic close packed structure and in body centred pa...
If sodium sulphate is considered to be completely dissociated into cations and a...
On mixing, heptane and octane form an ideal solution. At 373 K, the vapour press...
The correct order of $$E_{{M^{2 + }}/M}^o$$ values with negative sign for the fo...
The Gibbs energy for the decomposition of Al<sub>2</sub>O<sub>3</sub> at 500<sup...
<p>Consider the reaction :<br> <br/>Cl<sub>2</sub>(aq) + H<sub>2</sub>S(aq) → S(...
The time for half life period of a certain reaction A $$\to$$ products is 1 hour...
29.5 mg of an organic compound containing nitrogen was digested according to Kje...
Which one of the following has an optical isomer ?<br> (en = ethylenediamine)
A solution containing 2.675g of CoCl<sub>3</sub>. 6NH<sub>3</sub> (molar mass = ...
From amongst the following alcohols the one that would react fastest with conc. ...
Biuret test is <b>not</b> given by
The polymer containing strong intermolecular forces e.g. hydrogen bonding, is
Consider the following bromides : <br><br><img class="question-image" src="http...
The main product of the following reaction is <br><br>$$\,\,\,\,\,\,\,\,\,\,\,\...
In the chemical reactions, <br><br><img class="question-image" src="https://imag...

Mathematics

Let $$\cos \left( {\alpha + \beta } \right) = {4 \over 5}$$ and $$\sin \,\,\,\l...
The number of complex numbers z such that $$\left| {z - 1} \right| = \left| {z +...
If $$\alpha $$ and $$\beta $$ are the roots of the equation $${x^2} - x + 1 = 0,...
There are two urns. Urn A has 3 distinct red balls and urn B has 9 distinct blue...
Let $${s_1} = \sum\limits_{j = 1}^{10} {j\left( {j - 1} \right){}^{10}} {C_j}$$,...
A person is to count 4500 currency notes. Let $${a_n}$$ denote the number of not...
The line $$L$$ given by $${x \over 5} + {y \over b} = 1$$ passes through the poi...
The circle $${x^2} + {y^2} = 4x + 8y + 5$$ intersects the line $$3x - 4y - m$$ a...
If two tangents drawn from a point $$P$$ to the parabola $${y^2} = 4x$$ are at r...
Let $$f:\left( { - 1,1} \right) \to R$$ be a differentiable function with $$f\l...
For a regular polygon, let $$r$$ and $$R$$ be the radii of the inscribed and the...
Let $$f:R \to R$$ be defined by $$$f\left( x \right) = \left\{ {\matrix{ {k ...
The equation of the tangent to the curve $$y = x + {4 \over {{x^2}}}$$, that <b...
Let $$f:R \to R$$ be a continuous function defined by $$$f\left( x \right) = {1...
Let $$A$$ be a $$\,2 \times 2$$ matrix with non-zero entries and let $${A^2} = I...
Consider the system of linear equations; $$$\matrix{ {{x_1} + 2{x_2} + {x_3}...
The number of $$3 \times 3$$ non-singular matrices, with four entries as $$1$$ a...
The area bounded by the curves $$y = \cos x$$ and $$y = \sin x$$ between the ord...
Let $$p(x)$$ be a function defined on $$R$$ such that $$p'(x)=p'(1-x),$$ for all...
Solution of the differential equation <br>$$\cos x\,dy = y\left( {\sin x - y} \...
Four numbers are chosen at random (without replacement) from the set $$\left\{ {...
An urn contains nine balls of which three are red, four are blue and two are gre...
<b>Statement-1:</b> The point $$A(3, 1, 6)$$ is the mirror image of the point $$...
A line $$AB$$ in three-dimensional space makes angles $${45^ \circ }$$ and $${12...
Let $$\overrightarrow a = \widehat j - \widehat k$$ and $$\overrightarrow c = ...
If the vectors $$\overrightarrow a = \widehat i - \widehat j + 2\widehat k,\,\,...
Let $$f:R \to R$$ be a positive increasing function with <br><br>$$\mathop {\lim...
Let S be a non-empty subset of R. Consider the following statement: <br>P : Ther...
For two data sets, each of size 5, the variances are given to be 4 and 5 and the...

Physics

The respective number of significant figures for the numbers 23.023, 0.0003 and ...
A particle is moving with velocity $$\overrightarrow v = k\left( {y\widehat i +...
For a particle in uniform circular motion the acceleration $$\overrightarrow a $...
The potential energy function for the force between two atoms in a diatomic mole...
<b>Statement - 1 : </b> Two particles moving in the same direction do not lose a...
Two identical charged spheres are suspended by strings of equal lengths. The str...
Two fixed frictionless inclined planes making an angle $${30^ \circ }$$ and $${6...
A diatomic ideal gas is used in a Carnot engine as the working substance. If dur...
A ball is made of a material of density $$\rho $$ where $${\rho _{oil}}\, &lt; \...
The equation of a wave on a string of linear mass density $$0.04\,\,kg\,{m^{ - 1...
Let there be a spherically symmetric charge distribution with charge density var...
A thin semi-circular ring of radius $$r$$ has a positive charges $$q$$ distribut...
Let $$C$$ be the capacitance of a capacitor discharging through a resistor $$R.$...
Two conductors have the same resistance at $${0^ \circ }C$$ but their temperatur...
Two long parallel wires are at a distance $$2d$$ apart. They carry steady equal ...
In a series $$LCR$$ circuit $$R = 200\Omega $$ and the voltage and the frequency...
An initially parallel cylindrical beam travels in a medium of refractive index $...
An initially parallel cylindrical beam travels in a medium of refractive index $...
An initially parallel cylindrical beam travels in a medium of refractive index $...
A rectangular loop has a sliding connector $$PQ$$ of length $$l$$ and resistance...
In the circuit shown below, the key $$K$$ is closed at $$t=0.$$ The current thro...
<b>Statement - $$1$$ :</b> When ultraviolet light is incident on a photocell, ...
A nucleus of mass $$M+$$$$\Delta m$$ is at rest and decays into two daughter nuc...
A nucleus of mass $$M+$$$$\Delta m$$ is at rest and decays into two daughter nuc...
If a source of power $$4kW$$ produces $${10^{20}}$$ photons/second, the radiatio...
A radioactive nucleus (initial mass number $$A$$ and atomic number $$Z$$ emits $...
The combination of gates shown below yields <img class="question-image" src="ht...
The figure shows the position$$-$$time $$(x-t)$$ graph of one-dimensional motion...
A small particle of mass $$m$$ is projected at an angle $$\theta $$ with the $$x...
A point $$P$$ moves in counter-clockwise direction on a circular path as shown i...

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