AIEEE 2008

Paper was held on
Sun, Apr 27, 2008 9:30 AM

## Chemistry

Which one of the following constitutes a group of the isoelectronic species?

View Question The ionization enthalpy of hydrogen atom is 1.312 × 106 J mol−1. The energy required to excite the
electron in the atom

View Question The bond dissociation energy of B - F in BF3 is 646 kJ mol-1 whereas that of C - F in CF4 is 515 kj mol-1. The correct r

View Question Which of the following pair of species have the same bond order?

View Question Oxidising power of chlorine in aqueous solution can be determined by the parameters indicated
below:
$${1 \over 2}C{l_2

View Question Standard entropy of X2, Y2 and XY3 are 60, 40 and 50 JK−1
mol−1 , respectively. For the reaction,
$${1 \over 2} X_2$$

View Question The equilibrium constants KP1 and KP2 for the reactions X $$\leftrightharpoons$$ 2Y and Z $$\leftrightharpoons$$ P + Q,

View Question Four species are listed below
i. $$HCO_3^−$$
ii. $$H_3O^+$$
iii. $$HSO_4^−$$
iv. $$HSO_3F$$
Which one of the following

View Question The pKa of a weak acid, HA, is 4.80. The pKb of a weak base, BOH, is 4.78. The pH of an aqueous
solution of the correspo

View Question For the following three reactions a, b and c, equilibrium constants are given:
a. CO (g) + H2O (g) $$\leftrightharpoons

View Question In context with the industrial preparation of hydrogen from water gas (CO + H2), which of the following
is the correct s

View Question The correct decreasing order of priority for the functional groups of organic compounds in the IUPAC
system of nomenclat

View Question The hydrocarbon which can react with sodium in liquid ammonia is

View Question Toluene is nitrated and the resulting product is reduced with tin and hydrochloric acid. The product so
obtained is diaz

View Question In the following sequence of reactions, the alkene affords the compound ‘B’
CH3 - CH = CH - CH3 $$\buildrel {{O_3}} \ov

View Question Gold numbers of protective colloids A, B, C and D are 0.50, 0.01, 0.10 and 0.005, respectively. The
correct order of the

View Question In a compound atoms of element Y from ccp lattice and those of element X occupy 2/3rd of tetrahedral
voids. The formula

View Question At 80oC, the vapour pressure of pure liquid ‘A’ is 520 mm Hg and that of pure liquid ‘B’ is 1000 mm Hg. If a mixture sol

View Question The vapour pressure of water at 20oC is 17.5 mm Hg. If 18 g of glucose (C6H12O6) is added to 178.2 g of water at 20oC, t

View Question Given $$E_{C{r^{3 + }}/Cr}^o$$ = -0.72 V; $$E_{Fe^{2+}/Fe}^o$$ = -0.42V, The potential for the cell Cr | Cr3+ (0.1M) ||

View Question For a reaction $${1 \over 2}A \to 2B$$ rate of disappearance of ‘A’ is related to the rate of appearance of ‘B’ by the

View Question Which of the following factors is of no significance for roasting sulphide ores to the oxides and not
subjecting the sul

View Question Which one of the following is the correct statement?

View Question Larger number of oxidation states are exhibited by the actinoids than those by the lanthanoids, the
main reason being :

View Question In which of the following octahedral complexes of Co (at. no. 27), will the magnitude of $$\Delta _o$$ be the highest?

View Question The coordination number and the oxidation state of the element ‘E’ in the complex [E(en)2(C2O4)]NO2 (where (en) is ethyl

View Question The organic chloro compound, which shows complete stereochemical inversion during a SN2 reaction,
is

View Question Phenol, when it first reacts with concentrated sulphuric acid and then with concentrated nitric acid,
gives

View Question Identify the wrong statements in the following :

View Question Bakelite is obtained from phenol by reacting with

View Question $$\alpha$$-D-(+)-glucose and $$\beta$$-D-(+)-glucose are

View Question Among the following substituted silanes the one which will give rise to cross linked silicone polymer on
hydrolysis is :

View Question The electrophile, $${E^ \oplus }$$ attacks the benzene ring to generate the intermediate $$\sigma - $$complex. Of the f

View Question The absolute configuration of

View Question The treatment of $$C{H_3}MgX\,\,$$ with $$C{H_3}C \equiv C - H$$ produces

View Question Amount of oxalic acid present in a solution can be determined by its titration with $$KMn{O_4}$$ solution in the presen

View Question ## Mathematics

The conjugate of a complex number is $${1 \over {i - 1}}$$ then that complex number is :

View Question Let R be the real line. Consider the following subsets of the plane $$R \times R$$ :
$$S = \left\{ {(x,y):y = x + 1\,\,

View Question STATEMENT - 1 : For every natural number $$n \ge 2,$$
$$${1 \over {\sqrt 1 }} + {1 \over {\sqrt 2 }} + ........ + {1 \o

View Question The quadratic equations $${x^2} - 6x + a = 0$$ and $${x^2} - cx + 6 = 0$$ have one root in common. The other roots of th

View Question In a shop there are five types of ice-cream available. A child buys six ice-cream.
Statement - 1: The number of diffe

View Question How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent?

View Question Statement - 1 : $$\sum\limits_{r = 0}^n {\left( {r + 1} \right)\,{}^n{C_r} = \left( {n + 2} \right){2^{n - 1}}.} $$
Stat

View Question The first two terms of a geometric progression add up to 12. the sum of the third and the fourth terms is 48. If the ter

View Question The perpendicular bisector of the line segment joining P(1, 4) and Q(k, 3) has y-intercept -4. Then a possible value of

View Question The point diametrically opposite to the point $$P(1, 0)$$ on the circle $${x^2} + {y^2} + 2x + 4y - 3 = 0$$ is :

View Question The differential equation of the family of circles with fixed radius $$5$$ units and centre on the line $$y = 2$$ is :

View Question A focus of an ellipse is at the origin. The directrix is the line $$x=4$$ and the eccentricity is $${{1 \over 2}}$$. The

View Question A parabola has the origin as its focus and the line $$x=2$$ as the directrix. Then the vertex of the parabola is at :

View Question $$AB$$ is a vertical pole with $$B$$ at the ground level and $$A$$ at the top. $$A$$ man finds that the angle of elevati

View Question The value of $$cot\left( {\cos e{c^{ - 1}}{5 \over 3} + {{\tan }^{ - 1}}{2 \over 3}} \right)$$ is :

View Question How many real solutions does the equation
$${x^7} + 14{x^5} + 16{x^3} + 30x - 560 = 0$$ have?

View Question Suppose the cubic $${x^3} - px + q$$ has three distinct real roots
where $$p>0$$ and $$q>0$$. Then which one of t

View Question Let $$A$$ be $$a\,2 \times 2$$ matrix with real entries. Let $$I$$ be the $$2 \times 2$$ identity matrix. Denote by tr$$

View Question Let $$a, b, c$$ be any real numbers. Suppose that there are real numbers $$x, y, z$$ not all zero such that $$x=cy+bz,$$

View Question Let $$A$$ be a square matrix all of whose entries are integers.
Then which one of the following is true?

View Question The value of $$\sqrt 2 \int {{{\sin xdx} \over {\sin \left( {x - {\pi \over 4}} \right)}}} $$ is

View Question The area of the plane region bounded by the curves $$x + 2{y^2} = 0$$ and $$\,x + 3{y^2} = 1$$ is equal to :

View Question The solution of the differential equation
$${{dy} \over {dx}} = {{x + y} \over x}$$ satisfying the condition $$y(1)=1$$

View Question It is given that the events $$A$$ and $$B$$ are such that
$$P\left( A \right) = {1 \over 4},P\left( {A|B} \right) = {1

View Question A die is thrown. Let $$A$$ be the event that the number obtained is greater than $$3.$$ Let $$B$$ be the event that the

View Question The vector $$\overrightarrow a = \alpha \widehat i + 2\widehat j + \beta \widehat k$$ lies in the plane of the vectors

View Question The non-zero vectors are $${\overrightarrow a ,\overrightarrow b }$$ and $${\overrightarrow c }$$ are related by $${\ove

View Question The line passing through the points $$(5,1,a)$$ and $$(3, b, 1)$$ crosses the $$yz$$-plane at the point $$\left( {0,{{1

View Question If the straight lines $$\,\,\,\,\,$$ $$\,\,\,\,\,$$ $${{x - 1} \over k} = {{y - 2} \over 2} = {{z - 3} \over 3}$$ $$\,\,

View Question Let p be the statement “x is an irrational number”, q be the statement “y is a transcendental number”,
and r be the stat

View Question Let $$f:N \to Y$$ be a function defined as f(x) = 4x + 3 where
Y = { y $$ \in $$ N, y = 4x + 3 for some x $$ \in $$ N }

View Question Let $$f\left( x \right) = \left\{ {\matrix{
{\left( {x - 1} \right)\sin {1 \over {x - 1}}} & {if\,x \ne 1} \cr

View Question The statement $$p \to \left( {q \to p} \right)$$ is equivalent to

View Question The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following
gives possible val

View Question ## Physics

The dimension of magnetic field in M, L, T and C (coulomb) is given as

View Question A body of mass m = 3.513 kg is moving along the x-axis with a speed of 5.00 ms−1. The magnitude of its momentum is recor

View Question Two full turns of the circular scale of a screw gauge cover a distance of 1 mm on its main scale. The
total number of di

View Question A block of mass $$0.50$$ $$kg$$ is moving with a speed of $$2.00$$ $$m{s^{ - 1}}$$ on a smooth surface. It strike anothe

View Question An athlete in the olympic games covers a distance of $$100$$ $$m$$ in $$10$$ $$s.$$ His kinetic energy can be estimated

View Question Consider a uniform square plate of side $$' a '$$ and mass $$'m'$$. The moment of inertia of this plate about an axis pe

View Question A planet in a distant solar system is $$10$$ times more massive than the earth and its radius is $$10$$ times smaller. G

View Question This question contains Statement - $$1$$ and Statement - $$2$$. of the four choices given after the statements, choose t

View Question A spherical solid ball of volume $$V$$ is made of a material of density $${\rho _1}$$. It is falling through a liquid of

View Question The speed of sound in oxygen $$\left( {{O_2}} \right)$$ at a certain temperature is $$460\,\,m{s^{ - 1}}.$$ The speed of

View Question An insulated container of gas has two chambers separated by an insulating partition. One of the chambers has volume $${

View Question A thin rod of length $$'L'$$ is lying along the $$x$$-axis with its ends at $$x=0$$ and $$x=L$$. Its linear density (mas

View Question A capillary tube (A) is dipped in water. Another identical tube (B) is dipped in a soap-water solution. Which of the fol

View Question A jar is filled with two non-mixing liquids $$1$$ and $$2$$ having densities $${\rho _1}$$ and $${\rho _2}$$ respective

View Question While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condi

View Question A wave travelling along the $$x$$-axis is described by the equation $$y(x, t)=0.005$$ $$\cos \,\left( {\alpha \,x - \bet

View Question A parallel plate capacitor with air between the plates has capacitance of $$9$$ $$pF.$$ The separation between its plate

View Question A thin spherical shell of radius $$R$$ has charge $$Q$$ spread uniformly over its surface. Which of the following graphs

View Question Shown in the figure below is a meter-bridge set up with null deflection in the galvanometer.
The value of the unknown

View Question Consider a block of conducting material of resistivity $$'\rho '$$ shown in the figure. Current $$'I'$$ enters at $$'A'$

View Question Consider a block of conducting material of resistivity $$'\rho '$$ shown in the figure. Current $$'I'$$ enters at $$'A'$

View Question A $$5V$$ battery with internal resistance $$2\Omega $$ and a $$2V$$ battery with internal resistance $$1\Omega $$ are co

View Question Relative permittivity and permeability of a material $${\varepsilon _r}$$ and $${\mu _r},$$ respectively. Which of the f

View Question A horizontal overhead powerline is at height of $$4m$$ from the ground and carries a current of $$100A$$ from east to we

View Question Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area $$A=$$ $$10\,\,c{m^2}$

View Question An experiment is performed to find the refractive index of glass using a travelling microscope. In this experiment dista

View Question In an experiment, electrons are made to pass through a narrow slit of width $$'d'$$ comparable to their de Broglie wavel

View Question A student measures the focal length of a convex lens by putting an object pin at a distance $$'u'$$ from the lens and me

View Question This question contains Statement- 1 and Statement- 2. Of the four choices given after the statements, choose the one t

View Question A working transistor with its three legs marked $$P,Q$$ and $$R$$ is tested using a multi-meter. No conduction is found

View Question Suppose an electron is attracted towards the origin by a force $${k \over r}$$ where $$'k'$$ is a constant and $$'r'$$ i

View Question Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by dif

View Question Wave property of electrons implies that they will show diffraction effects. Davisson and Germer demonstrated this by dif

View Question In the circuit below, $$A$$ and $$B$$ represent two inputs and $$C$$ represents the output.
The circuit represents

View Question A body is at rest at $$x=0.$$ At $$t=0,$$ it starts moving in the positive $$x$$-direction with a constant acceleration.

View Question