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## AIEEE 2008

Exam Held on Sun Apr 27 2008 09:30:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

Which one of the following constitutes a group of the isoelectronic species?
The ionization enthalpy of hydrogen atom is 1.312 × 10<sup>6</sup> J mol<sup>−1<...
Which of the following pair of species have the same bond order?
The bond dissociation energy of B - F in BF<sub>3</sub> is 646 jJ mol<sup>-1</su...
Oxidising power of chlorine in aqueous solution can be determined by the paramet...
Standard entropy of X<sub>2</sub>, Y<sub>2</sub> and XY<sub>3</sub> are 60, 40 a...
The equilibrium constants K<sub>P1</sub> and K<sub>P2</sub> for the reactions X ...
Four species are listed below <br> i. $$HCO_3^−$$<br> ii. $$H_3O^+$$<br> iii. $... For the following three reactions a, b and c, equilibrium constants are given: <... The pK<sub>a</sub> of a weak acid, HA, is 4.80. The pK<sub>b</sub> of a weak bas... In context with the industrial preparation of hydrogen from water gas (CO + H<su... The correct decreasing order of priority for the functional groups of organic co... Toluene is nitrated and the resulting product is reduced with tin and hydrochlor... In the following sequence of reactions, the alkene affords the compound ‘B’ <br>... The hydrocarbon which can react with sodium in liquid ammonia is Gold numbers of protective colloids A, B, C and D are 0.50, 0.01, 0.10 and 0.005... In a compound atoms of element Y from ccp lattice and those of element X occupy ... The vapour pressure of water at 20<sup>o</sup>C is 17.5 mm Hg. If 18 g of glucos... At 80<sup>o</sup>C, the vapour pressure of pure liquid ‘A’ is 520 mm Hg and that... Given $$E_{C{r^{3 + }}/Cr}^o$$ = -0.72 V; $$E_{Fe^{2+}/Fe}^o$$ = -0.42V, The pot... For a reaction $${1 \over 2}A \to 2B$$ rate of disappearance of ‘A’ is related ... Which of the following factors is of <b>no significance</b> for roasting sulphid... Which one of the following is the correct statement? Larger number of oxidation states are exhibited by the actinoids than those by t... In which of the following octahedral complexes of Co (at. no. 27), will the magn... The coordination number and the oxidation state of the element ‘E’ in the comple... The organic chloro compound, which shows complete stereochemical inversion durin... Phenol, when it first reacts with concentrated sulphuric acid and then with conc... Identify the wrong statements in the following: Bakelite is obtained from phenol by reacting with $$\alpha$$-D-(+)-glucose and $$\beta$$-D-(+)-glucose are Among the following substituted silanes the one which will give rise to cross li... The electrophile, $${E^ \oplus }$$ attacks the benzene ring to generate the inte... The absolute configuration of <br><br><img class="question-image" src="https://... The treatment of $$C{H_3}MgX\,\,$$ with $$C{H_3}C \equiv C - H$$ produces Amount of oxalic acid present in a solution can be determined by its titration ... ## Mathematics The conjugate of a complex number is $${1 \over {i - 1}}$$ then that complex num... Let R be the real line. Consider the following subsets of the plane $$R \times R... <b>STATEMENT - 1 :</b> For every natural number$$n \ge 2,${1 \over {\sqrt...
In a shop there are five types of ice-cream available. A child buys six ice-crea...
How many different words can be formed by jumbling the letters in the word MISSI...
<b>Statement - 1 :</b> $$\sum\limits_{r = 0}^n {\left( {r + 1} \right)\,{}^n{C_r... The first two terms of a geometric progression add up to 12. the sum of the thir... The perpendicular bisector of the line segment joining P(1, 4) and Q(k, 3) has y... The point diametrically opposite to the point$$P(1, 0)$$on the circle$${x^2} ...
The differential equation of the family of circles with fixed radius $$5$$ units...
A focus of an ellipse is at the origin. The directrix is the line $$x=4$$ and th...
A parabola has the origin as its focus and the line $$x=2$$ as the directrix. Th...
$$AB$$ is a vertical pole with $$B$$ at the ground level and $$A$$ at the top. \$...
The value of $$cot\left( {\cos e{c^{ - 1}}{5 \over 3} + {{\tan }^{ - 1}}{2 \over... Suppose the cubic$${x^3} - px + q$$has three distinct real roots <br>where$$...
How many real solutions does the equation <br>$${x^7} + 14{x^5} + 16{x^3} + 30x... Let$$A$$be$$a\,2 \times 2$$matrix with real entries. Let$$I$$be the$$2 \t...
Let $$a, b, c$$ be any real numbers. Suppose that there are real numbers $$x, y,... Let$$A$$be a square matrix all of whose entries are integers. <br>Then which ... The value of$$\sqrt 2 \int {{{\sin xdx} \over {\sin \left( {x - {\pi \over 4}}...
The area of the plane region bounded by the curves $$x + 2{y^2} = 0$$ and $$\,x ... The solution of the differential equation <br>$${{dy} \over {dx}} = {{x + y} \o...
A die is thrown. Let $$A$$ be the event that the number obtained is greater than...
It is given that the events $$A$$ and $$B$$ are such that <br>$$P\left( A \righ... The vector$$\overrightarrow a = \alpha \widehat i + 2\widehat j + \beta \wideh...
The non-zero vectors are $${\overrightarrow a ,\overrightarrow b }$$ and $${\ove... The line passing through the points$$(5,1,a)$$and$$(3, b, 1)$$crosses the ... If the straight lines$$\,\,\,\,\,\,\,\,\,\,{{x - 1} \over k} = {{y - ...
Let p be the statement “x is an irrational number”, q be the statement “y is a t...
Let $$f:N \to Y$$ be a function defined as f(x) = 4x + 3 where <br>Y = { y $$\... Let$$f\left( x \right) = \left\{ {\matrix{ {\left( {x - 1} \right)\sin {1 \o...
The statement $$p \to \left( {q \to p} \right)$$ is equivalent to
The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which...

## Physics

The dimension of magnetic field in M, L, T and C (coulomb) is given as
A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms<s...
Two full turns of the circular scale of a screw gauge cover a distance of 1 mm o...
An athlete in the olympic games covers a distance of $$100$$ $$m$$ in $$10$$ $$s... A block of mass$$0.50kg$$is moving with a speed of$$2.00m{s^{ - 1}}...
Consider a uniform square plate of side $$' a '$$ and mass $$'m'$$. The moment o...
This question contains Statement - $$1$$ and Statement - $$2$$. of the four choi...
A planet in a density solar system is $$10$$ times more massive than the earth a...
A spherical solid ball of volume $$V$$ is made of a material of density $${\rho ... The speed of sound in oxygen$$\left( {{O_2}} \right)$$at a certain temperature... An insulated container of gas has two chambers separated by an insulating parti... A thin rod of length$$'L'$$is lying along the$$x$$-axis with its ends at$$x=...
A capillary tube (A) is dipped in water. Another identical tube (B) is dipped in...
A jar is filled with two non-mixing liquids $$1$$ and $$2$$ having densities $${... While measuring the speed of sound by performing a resonance column experiment, ... A wave travelling along the$$x$$-axis is described by the equation$$y(x, t)=0....
A parallel plate capacitor with air between the plates has capacitance of $$9$$ ...
A thin spherical shell of radius $$R$$ has charge $$Q$$ spread uniformly over it...
Shown in the figure below is a meter-bridge set up with null deflection in the g...
Consider a block of conducting material of resistivity $$'\rho '$$ shown in the ...
Consider a block of conducting material of resistivity $$'\rho '$$ shown in the ...
A $$5V$$ battery with internal resistance $$2\Omega$$ and a $$2V$$ battery with...
Relative permittivity and permeability of a material $${\varepsilon _r}$$ and $$... A horizontal overhead powerline is at height of$$4m$$from the ground and carri... Two coaxial solenoids are made by winding thin insulated wire over a pipe of cro... An experiment is performed to find the refractive index of glass using a travell... In an experiment, electrons are made to pass through a narrow slit of width$$'d...
A student measures the focal length of a convex lens by putting an object pin at...
This question contains Statement- 1 and Statement- 2. Of the four choices given...
A working transistor with its three legs marked $$P,Q$$ and $$R$$ is tested usin...
Suppose an electron is attracted towards the origin by a force $${k \over r}$$ w...
Wave property of electrons implies that they will show diffraction effects. Davi...
Wave property of electrons implies that they will show diffraction effects. Davi...
In the circuit below, $$A$$ and $$B$$ represent two inputs and $$C$$ represents ...
A body is at rest at $$x=0.$$ At $$t=0,$$ it starts moving in the positive $$x$$...

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