AIEEE 2008

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

The correct decreasing order of priority for the functional groups of organic compounds in the IUPAC
system of nomenclature is

The absolute configuration of

The electrophile, \({E^ \oplus }\) attacks the benzene ring to generate the intermediate \(\sigma -\)complex. Of the following, which \(\sigma -\)complex is lowest energy?

\(\alpha\)-D-(+)-glucose and \(\beta\)-D-(+)-glucose are

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 reason for higher B - F bond dissociation energy as compared to that of C - F is

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

The equilibrium constants KP1 and KP2 for the reactions X \(\leftrightharpoons\) 2Y and Z \(\leftrightharpoons\) P + Q, respectively are in
the ratio of 1 : 9. If the degree of dissociation of X and Z be equal then the ratio of total press...

For the following three reactions a, b and c, equilibrium constants are given:
a. CO (g) + H2O (g) \(\leftrightharpoons\) CO2(g) + H2 (g) ; K1
b. CH4 (g) + H2O (g) \(\leftrightharpoons\) CO(g) + 3H2 (g) ; K2
c. CH4 (g) + 2H2O (g) $$\leftri...

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
expression

The coordination number and the oxidation state of the element ‘E’ in the complex [E(en)2(C2O4)]NO2 (where (en) is ethylene diamine) are, respectively,

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

Amount of oxalic acid present in a solution can be determined by its titration with \(KMn{O_4}\) solution in the presence of \({H_2}S{O_4}.\) The titration gives unsatisfactory result when carried out in the presence of \(HCl,\) because $$...

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

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) || Fe2+ (0.01 M) | Fe is

Identify the wrong statements in the following :

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

The hydrocarbon which can react with sodium in liquid ammonia is

In the following sequence of reactions, the alkene affords the compound ‘B’
CH3 - CH = CH - CH3 \(\buildrel {{O_3}} \over \longrightarrow\) A \(\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{Zn}^{H{}_2O}}\) B
The compound B is

Toluene is nitrated and the resulting product is reduced with tin and hydrochloric acid. The product so
obtained is diazotised and then heated with cuprous bromide. The reaction mixture so formed
contains

The treatment of \(C{H_3}MgX\,\,\) with \(C{H_3}C \equiv C - H\) produces

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

Four species are listed below
i. \(HCO_3^−\)
ii. \(H_3O^+\)
iii. \(HSO_4^−\)
iv. \(HSO_3F\)
Which one of the following is the correct sequence of their acid strength?

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 corresponding salt, BA, will be

Which of the following factors is of no significance for roasting sulphide ores to the oxides and not
subjecting the sulphide ores to carbon reduction directly?

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

Which one of the following is the correct statement?

Bakelite is obtained from phenol by reacting with

In a compound atoms of element Y from ccp lattice and those of element X occupy 2/3rd of tetrahedral
voids. The formula of the compound will be :

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, the vapour pressure of the resulting solution will be

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 solution of ‘A’ and ‘B’ boils at 80oC and 1 atm pressure, the amount of ‘A’ in the mixture is (1 atm = 760 mm Hg)

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

The ionization enthalpy of hydrogen atom is 1.312 × 106 J mol−1. The energy required to excite the
electron in the atom from n = 1 to n = 2 is

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 their protective powers is

Standard entropy of X2, Y2 and XY3 are 60, 40 and 50 JK−1
mol−1 , respectively. For the reaction,
\({1 \over 2} X_2\) + \({3 \over 2} Y_2 \to\) XY3, \(\Delta H\) = -30 kJ, to be at equilibrium, the temperature will be :

Oxidising power of chlorine in aqueous solution can be determined by the parameters indicated
below:
\({1 \over 2}C{l_2}(g)\) \(\buildrel {{1 \over 2}{\Delta _{diss}}{H^\Theta }} \over \longrightarrow\) \(Cl(g)\) $$\buildrel {{\Delta _{e...

The line passing through the points \((5,1,a)\) and \((3, b, 1)\) crosses the \(yz\)-plane at the point \(\left( {0,{{17} \over 2}, - {{ - 13} \over 2}} \right)\) . Then

If the straight lines \(\,\,\,\,\,\) \(\,\,\,\,\,\) \({{x - 1} \over k} = {{y - 2} \over 2} = {{z - 3} \over 3}\) \(\,\,\,\,\,\) and\(\,\,\,\,\,\) \({{x - 2} \over 3} = {{y - 3} \over k} = {{z - 1} \over 2}\) intersects at a point, then th...

Suppose the cubic \({x^3} - px + q\) has three distinct real roots
where \(p>0\) and \(q>0\). Then which one of the following holds?

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

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

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

The differential equation of the family of circles with fixed radius \(5\) units and centre on the line \(y = 2\) is :

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

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

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

A focus of an ellipse is at the origin. The directrix is the line \(x=4\) and the eccentricity is \({{1 \over 2}}\). Then the length of the semi-major axis is :

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 }.
Show that f is invertible and its inverse is

\(AB\) is a vertical pole with \(B\) at the ground level and \(A\) at the top. \(A\) man finds that the angle of elevation of the point \(A\) from a certain point \(C\) on the ground is \({60^ \circ }\). He moves away from the pole along th...

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