AIEEE 2009

The major product obtained on interaction of phenol with sodium hydroxide and carbon dioxide is :

A liquid was mixed with ethanol and a drop of concentrated H2SO4 was added. A compound with a
fruity smell was formed. The liquid was :

In Cannizzaro reaction given below
2PhCHO \(\buildrel {\mathop {:OH}\limits^{\left( - \right)} } \over \longrightarrow\) PhCH2OH + \(PhC\mathop O\limits^{..}\)2(-)
the slowest step is :

The alkene that exhibits geometrical isomerism is :

The number of stereoisomers possible for a compound of the molecular formula
CH3 - CH = CH - CH(OH) - Me is :

The IUPAC name of neopentane is

Arrange the carbanions, \({(C{H_3})_3}\overline C\), \(\overline C C{l_3}\) , \({(C{H_3})_2}\overline C H\), \({C_6}{H_5}\overline C H{}_2\) in order of their decreasing stability :

The two functional groups present in a typical carbohydrate are

Using MO theory, predict which of the following species has the shortest bond length?

The half life period of a first order chemical reaction is 6.93 minutes. The time required for the
completion of 99% of the chemical reaction will be (log 2=0.301) :

Which of the following has an optical isomer ?

Which of the following pairs represents linkage isomers ?

In context with the transition elements, which of the following statements is incorrect ?

Knowing that the Chemistry of lanthanoids (Ln) is dominated by its +3 oxidation state, which of the
following statements is incorrect?

In a fuel cell methanol is used as fuel and oxygen gas is used as an oxidizer. The reaction is
CH3OH(l) + 3/2O2 \(\to\) CO2 (g) + 2H2O (l)
At 298K standard Gibb’s energies of formation for CH3OH(l), H2O(l) and CO2 (g) are -166.2, -237.2 a...

Given : \(E_{F{e^{3 + }}/Fe}^o\) = -0.036V; \(E_{F{e^{2 + }}/Fe}^o\) = -0.439 V
The value of standard electrode potential for the change,
Fe3+ (aq) + e- \(\to\) Fe2+ (aq) will be

Which of the following on heating with aqueous KOH, produces acetaldehyde ?

Solid Ba(NO3)2 is gradually dissolved in a 1.0 \(\times\) 10-4 M Na2CO3 solution. At what concentration of Ba2+ will a precipitate begin to form ?
(Ksp for BaCO3 = 5.1 \(\times\) 10−9 )

Which one of the following reactions of Xenon compounds is not feasible?

In which of the following arrangements, the sequence is not strictly according to the property written against it

The set representing the correct order of ionic radius is :

Buna-\(N\) synthetic rubber is a copolymer of :

Copper crystallizes in fcc with a unit cell length of 361 pm. What is the radius of copper atom?

A binary liquid solution is prepared by mixing n-heptane and ethanol. Which one of the following
statements is correct regarding the behaviour of the solution ?

Two liquids X and Y form an ideal solution. At 300K, vapour pressure of the solution containing 1 mol
of X and 3 mol of Y is 550 mm Hg. At the same temperature, if 1 mol of Y is further added to this
solution, vapour pressure of the solutio...

In an atom, an electron is moving with a speed of 600 m/s with an accuracy of 0.005%. Certainity
with which the position of the electron can be located is (h = 6.6 \(\times\) 10-34 kg m2s-1, mass of electron, em = 9.1 \(\times\) 10-31 kg)

Calculate the wavelength (in nanometer) associated with a proton moving at 1.0 x 103 ms−1
(Mass of proton = 1.67 \(\times\) 10-27 kg and h = 6.63 \(\times\) 10-34 Js) :

Which of the following statements is incorrect regarding physisorptions ?

On the basis of the following thermochemical data : (\(\Delta _fG^oH^+_{(aq)}\) = 0)

H2O(l) \(\to\) H+(aq) + OH-(aq); \(\Delta H\) = 57.32 kJ
H2(g) + \({1 \over 2} O_2(g) \to\) H2O(l); \(\Delta H\) = -286.20 kJ
The value of enthalpy of for...

Let the line \(\,\,\,\,\,\) \({{x - 2} \over 3} = {{y - 1} \over { - 5}} = {{z + 2} \over 2}\) lie in the plane \(\,\,\,\,\,\) \(x + 3y - \alpha z + \beta = 0.\) Then \(\left( {\alpha ,\beta } \right)\) equals

The projections of a vector on the three coordinate axis are \(6,-3,2\) respectively. The direction cosines of the vector are :

Given \(P\left( x \right) = {x^4} + a{x^3} + b{x^2} + cx + d\) such that \(x=0\) is the only
real root of \(P'\,\left( x \right) = 0.\) If \(P\left( { - 1} \right) < P\left( 1 \right),\) then in the interval \(\left[ { - 1,1} \right]:\)

The area of the region bounded by the parabola \({\left( {y - 2} \right)^2} = x - 1,\) the tangent of the parabola at the point \((2, 3)\) and the \(x\)-axis is :

The remainder left out when \({8^{2n}} - {\left( {62} \right)^{2n + 1}}\) is divided by 9 is :

If \(P\) and \(Q\) are the points of intersection of the circles
\({x^2} + {y^2} + 3x + 7y + 2p - 5 = 0\) and \({x^2} + {y^2} + 2x + 2y - {p^2} = 0\) then there is a circle passing through \(P,Q\) and \((1, 1)\) for :

Three distinct points A, B and C are given in the 2 -dimensional coordinates plane such that the ratio of the distance of any one of them from the point \((1, 0)\) to the distance from the point \((-1, 0)\) is equal to \({1 \over 3}\). Then...

If \(\,\left| {z - {4 \over z}} \right| = 2,\) then the maximum value of \(\,\left| z \right|\) is equal to :

\(\int\limits_0^\pi {\left[ {\cot x} \right]dx,}\) where \(\left[ . \right]\) denotes the greatest integer function, is equal to:

The differential equation which represents the family of curves \(y = {c_1}{e^{{c_2}x}},\) where \({c_1}\) , and \({c_2}\) are arbitrary constants, is

Let \(y\) be an implicit function of \(x\) defined by \({x^{2x}} - 2{x^x}\cot \,y - 1 = 0\). Then \(y'(1)\) equals

The ellipse \({x^2} + 4{y^2} = 4\) is inscribed in a rectangle aligned with the coordinate axex, which in turn is inscribed in another ellipse that passes through the point \((4,0)\). Then the equation of the ellipse is :

For real x, let f(x) = x3 + 5x + 1, then

Let \(f\left( x \right) = {\left( {x + 1} \right)^2} - 1,x \ge - 1\)
Statement - 1 : The set \(\left\{ {x:f\left( x \right) = {f^{ - 1}}\left( x \right)} \right\} = \left\{ {0, - 1} \right\}\).
Statement - 2 : \(f\) is a bijection.

Let \(f\left( x \right) = x\left| x \right|\) and \(g\left( x \right) = \sin x.\)
Statement-1: gof is differentiable at \(x=0\) and its derivative is continuous at that point.
Statement-2: gof is twice differentiable at \(x=0\).

Statement-1 : \(\sim \left( {p \leftrightarrow \sim q} \right)\) is equivalent to \({p \leftrightarrow q}\).
Statement-2 : \(\sim \left( {p \leftrightarrow \sim q} \right)\) is a tautology.

Let \(a, b, c\) be such that \(b\left( {a + c} \right) \ne 0\) if
$$\left| {\matrix{
a & {a + 1} & {a - 1} \cr
{ - b} & {b + 1} & {b - 1} \cr
c & {c - 1} & {c + 1} \cr

} } \right| + \left| {\matrix{
{a + 1} & {b + 1} & {...

Let \(A\) be a \(\,2 \times 2\) matrix
Statement - 1 : \(adj\left( {adj\,A} \right) = A\)
Statement - 2 :\(\left| {adj\,A} \right| = \left| A \right|\)

From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on a shelf so that the dictionary is always in the middle. Then the number of such arrangement is :

One ticket is selected at random from \(50\) tickets numbered \(00, 01, 02, ...., 49.\) Then the probability that the sum of the digits on the selected ticket is \(8\), given that the product of these digits is zer, equals :

In a binomial distribution \(B\left( {n,p = {1 \over 4}} \right),\) if the probability of at least one success is greater than or equal to \({9 \over {10}},\) then \(n\) is greater than :