AIEEE 2011

Phenol is heated with a solution of mixture of KBr and KBrO3. The major product obtained in the above
reaction is

Silver Mirror test is given by which one of the following compounds ?

Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above
reaction is

The strongest acid amongst the following compounds is :

Trichloroacetaldehyde was subjected to Cannizzaro’s reaction by using NaOH. The mixture of the
products contains sodium trichloroacetate and another compound. The other compound is :

Identify the compound that exhibits tautomerism.

The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA and DNA ?

The hybridization of orbitals of N atom in \(NO_3^-\), \(NO_2^+\) and \(NH_4^+\) are respectively :

The structure of IF7 is :

Among the following the maximum covalent character is shown by the compound :

A vessel at 1000 K contains CO2 with a pressure of 0.5 atm. Some of the CO2 is converted into CO on
the addition of graphite. If the total pressure at equilibrium is 0.8 atm, the value of K is :

The rate of a chemical reaction doubles for every 10oC rise of temperature. If the temperature is raised
by 50oC , the rate of the reaction increases by about :

The magnetic moment (spin only) of [NiCl4]2− is

Which of the following facts about the complex [Cr (NH3)6 ]Cl3 is wrong?

The outer electron configuration of \(Gd\) (Atomic No. \(64\)) is :

In context of the lanthanoids, which of the following statements is not correct?

The reduction potential of hydrogen half cell will be negative if :

'a’ and `b’ are van der Waals’ constants for gases. Chlorine is more easily liquefied than ethane because

Ozonolysis of an organic compound gives formaldehyde as one of the products. This confirms the
presence of :

Boron cannot form which one of the following anions?

Which of the following statement is wrong?

Which of the following statements regarding sulphur is incorrect?

Outer electronic configuration of Gd (Atomic no : 64) is -

Which one of the following order represents the correct sequence of the increasing basic nature of the
given oxides ?

Which of the following reagents may be used to distinguish between phenol and benzoic acid ?

In a face centred cubic lattice, atom A occupies the corner positions and atom B occupies the face centre
positions. If one atom of B is missing from one of the face centred points, the formula of the compound is :

Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be
added to 4 kg of water to prevent it from freezing at −6oC will be :
[Kf for water = 1.86 K kg mol−1 , and molar mass of ethylene glycol = ...

The degree of dissociation (\(\alpha\) ) of a weak electrolyte, AxBy is related to van’t Hoff factor (i) by the expression :

A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl
alcohol in the solution ?

A gas absorbs a photon of 355 nm and emits at two wavelengths. If one of the emissions is at
680 nm, the other is at :

The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a
volume of 10 dm3 to a volume of 100 dm3 at 27oC is :

If the angle between the line \(x = {{y - 1} \over 2} = {{z - 3} \over \lambda }\) and the plane
\(x+2y+3z=4\) is \({\cos ^{ - 1}}\left( {\sqrt {{5 \over {14}}} } \right),\) then \(\lambda\) equals :

Statement - 1 : The point \(A(1,0,7)\) is the mirror image of the point
\(B(1,6,3)\) in the line : \({x \over 1} = {{y - 1} \over 2} = {{z - 2} \over 3}\)
Statement - 2 : The line \({x \over 1} = {{y - 1} \over 2} = {{z - 2} \over 3}\) bi...

For \(x \in \left( {0,{{5\pi } \over 2}} \right),\) define \(f\left( x \right) = \int\limits_0^x {\sqrt t \sin t\,dt.}\) Then \(f\) has

The shortest distance between line \(y-x=1\) and curve \(x = {y^2}\) is

The area of the region enclosed by the curves \(y = x,x = e,y = {1 \over x}\) and the positive \(x\)-axis is :

The coefficient of \({x^7}\) in the expansion of \({\left( {1 - x - {x^2} + {x^3}} \right)^6}\) is

The two circles x2 + y2 = ax, and x2 + y2 = c2 (c > 0) touch each other if :

Let \(\alpha \,,\beta\) be real and z be a complex number. If \({z^2} + \alpha z + \beta = 0\) has two distinct roots on the line Re z = 1, then it is necessary that :

If \(\omega ( \ne 1)\) is a cube root of unity, and \({(1 + \omega )^7} = A + B\omega \,\). Then \((A,B)\) equals :

The value of \(\int\limits_0^1 {{{8\log \left( {1 + x} \right)} \over {1 + {x^2}}}} dx\) is

Let \(I\) be the purchase value of an equipment and \(V(t)\) be the value after it has been used for \(t\) years. The value \(V(t)\) depreciates at a rate given by differential equation $${{dv\left( t \right)} \over {dt}} = - k\left( {T - ...

If \({{dy} \over {dx}} = y + 3 > 0\,\,\) and \(y(0)=2,\) then \(y\left( {\ln 2} \right)\) is equal to :

\({{{d^2}x} \over {d{y^2}}}\) equals:

Equation of the ellipse whose axes of coordinates and which passes through the point \((-3,1)\) and has eccentricity \(\sqrt {{2 \over 5}}\) is :

The domain of the function f(x) = \({1 \over {\sqrt {\left| x \right| - x} }}\) is

The value of \(p\) and \(q\) for which the function
$$f\left( x \right) = \left\{ {\matrix{
{{{\sin (p + 1)x + \sin x} \over x}} & {,x < 0} \cr
q & {,x = 0} \cr
{{{\sqrt {x + {x^2}} - \sqrt x } \over {{x^{3/2}}}}} & {,x > 0} ...

\(\mathop {\lim }\limits_{x \to 2} \left( {{{\sqrt {1 - \cos \left\{ {2(x - 2)} \right\}} } \over {x - 2}}} \right)\)

Consider the following statements
P : Suman is brilliant
Q : Suman is rich
R : Suman is honest
The negation of the statement,
“Suman is brilliant and dishonest if and only if Suman is rich” can be
expressed as :

Let \(A\) and \(B\) be two symmetric matrices of order \(3\).
Statement - 1 : \(A(BA)\) and \((AB)\)\(A\) are symmetric matrices.
Statement - 2 : \(AB\) is symmetric matrix if matrix multiplication of \(A\) with \(B\) is commutative.