AIEEE 2007

In the following sequence of reactions,
CH3CH2OH \(\buildrel {P + {I_2}} \over \longrightarrow\) A \(\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{ether}^{Mg}}\) B \(\buildrel {HCHO} \over \longrightarrow\) C $$\buildrel {{H_2}O}...

The compound formed as a result of oxidation of ethyl benzene by KMnO4 is :

Which of the following molecules is expected to rotate the plane of plane - polarized light?

Presence of a nitro group in a benzene ring

Which one of the following conformation of cyclohexane is chiral?

The secondary structure of a protein refers to

In which of the following ionization processes, the bond order has increased and the magnetic
behaviour has changed?

The charge/size ratio of a cation determines its polarizing power. Which one of the following
sequences represents the increasing order of the polarizinig order of the polarizing power of the
cationic species, K+, Ca2+, Mg2+, Be2+?

Which of the following hydrogen bonds is the strongest?

Which of the following species exhibits the diamagnetic behaviour?

Which of the following nuclear reactions will generate an isotope?

The energies of activation for forward and reverse reactions for A2 + B2 \(\leftrightharpoons\) 2AB are 180 kJ mol−1
and 200 kJ mol−1 respectively. The presence of catalyst lowers the activation energy of both (forward and reverse) reaction...

Consider the reaction, 2A + B \(\to\) products. When concentration of B alone was doubled, the half-life did not change. When the concentration of A
alone was doubled, the rate increased by two times. The unit of rate constant for this reac...

A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial
activity is ten times the permissible value, after how many days will it be safe to enter the room?

Which one of the following is the strongest base in aqueous solution?

In the chemical reaction,
CH3CH2NH2 + CHCl3 + 3KOH \(\to\) (A) + (B) + 3H2O, the compound (A) and (B) are respectively

Which one of the following has a square planar geometry?

The actinoids exhibits more number of oxidation states in general than the lanthanoids. This is
because :

Identify the incorrect statement among the following :

The equivalent conductances of two strong electrolytes at infinite dilution in H2O (where ions move
freely through a solution) at 25oC are given below:
\(\wedge _{C{H_3}COONa}^o\) = 91.0 S cm2/equiv
\(\wedge _{HCl}^o\) = 426.2 S cm2/equi...

The cell, Zn | Zn2+ (1M) || Cu2+ (1M) | Cu(\(E_{cell}^o\) = 1.10V) was allowed to be completely discharged at 298 K. The relative concentration of Zn2+ to Cu2+ $$\left[ {{{\left[ {Z{n^{2 + }}} \right]} \over {\left[ {C{u^{2 + }}} \right]}}...

Equal masses of methane and oxygen are mixed in an empty container at 25oC. The fraction of the
total pressure exerted by oxygen is

Which of the following is the correct order of decreasing SN2 reactivity?

Which of the following reactions will yield 2, 2-dibromopropane?

The reaction of toluene with Cl2 in presence of FeCl3 gives predominantly

In a sautrated solution of the sparingly soluble strong electrolyte AgIO3 (Molecular mass = 283) the
equilibrium which sets in is
AgIO3(s) \(\leftrightharpoons\) Ag+(aq) + \(IO_3^-\)
If the solubility product constant Ksp of AgIO3 at a giv...

The first and second dissociation constants of an acid H2A are 1.0 \(\times\) 10−5
and 5.0 \(\times\) 10−10 respectively. The overall dissociation constant of the acid will be :

The pKa of a weak acid (HA) is 4.5. The pOH of an aqueous buffered solution of HA in which 50% of
the acid is ionized is :

The stability of dihalides of \(Si,Ge,Sn\) and \(Pb\) increases steadily in the sequence :

Identify the incorrect statement among the following :

Regular use of which of the following fertilizer increases the acidity of soil?

A 5.25 % solution of a substance is isotonic with a 1.5% solution of urea (molar mass = 60 g mol−1) in
the same solvent. If the densities of both the solutions are assumed to be equal to 1.0 g cm−3, molar mass of the substance will be

A mixture of ethyl alcohol and propyl alcohol has a vapour pressure of 290 mm at 300 K. The vapour
pressure of propyl alcohol is 200 mm. If the mole fraction of ethyl alcohol is 0.6, its vapour pressure
(in mm) at the same temperature will ...

In the reaction
2Al(s) + 6HCl(aq) \(\to\) 2Al3+ (aq) + 6Cl-(aq) + 3H2(g)

The density (in g mL-1) of a 3.60 M sulphuric acid solution that is 29% H2SO4 (molar mass = 98 g mol-1) by mass will be

Which of the following sets of quantum numbers represents the highest energy of an atom?

Identify the correct statement regarding a spontaneous process :

In conversion of lime-stone to lime,
CaCO3(s) \(\to\) CaO(s) + CO2 (g) the vales of ∆H° and ∆S° are +179.1 kJ mol−1
and 160.2 J/K respectively at 298 K and 1 bar.
Assuming that ∆H° do not change with temperature, temperature above which c...

Assuming that water vapour is an ideal gas, the internal energy change \(\left( {\Delta U} \right)\) when \(1\) mol of water is vapourised at \(1\) bar pressure and \({100^ \circ }C\) (Given : molar enthalpy of vapourisation of water at $$1...

Let \(L\) be the line of intersection of the planes \(2x+3y+z=1\) and \(x+3y+2z=2.\) If \(L\) makes an angle \(\alpha\) with the positive \(x\)-axis, then cos \(\alpha\) equals

If \((2,3,5)\) is one end of a diameter of the sphere \({x^2} + {y^2} + {z^2} - 6x - 12y - 2z + 20 = 0,\) then the coordinates of the other end of the diameter are

If a line makes an angle of \(\pi /4\) with the positive directions of each of \(x\)-axis and \(y\)-axis, then the angle that the line makes with the positive direction of the \(z\)-axis is :

If \(p\) and \(q\) are positive real numbers such that \({p^2} + {q^2} = 1\), then the maximum value of \((p+q)\) is

The function \(f\left( x \right) = {\tan ^{ - 1}}\left( {\sin x + \cos x} \right)\) is an incresing function in

A value of \(c\) for which conclusion of Mean Value Theorem holds for the function \(f\left( x \right) = {\log _e}x\) on the interval \(\left[ {1,3} \right]\) is

The area enclosed between the curves \({y^2} = x\) and \(y = \left| x \right|\) is :

In the binomial expansion of \({\left( {a - b} \right)^n},\,\,\,n \ge 5,\) the sum of \({5^{th}}\) and \({6^{th}}\) terms is zero, then \(a/b\) equals

The sum of the series \({}^{20}{C_0} - {}^{20}{C_1} + {}^{20}{C_2} - {}^{20}{C_3} + .....\, - \,.....\, + {}^{20}{C_{10}}\) is

Consider a family of circles which are passing through the point \((-1, 1)\) and are tangent to \(x\)-axis. If \((h, k)\) are the coordinate of the centre of the circles, then the set of values of \(k\) is given by the interval :