AIEEE 2011
Paper was held on
Sun, May 1, 2011 9:30 AM
Chemistry
Ethylene glycol is used as an antifreeze in a cold climate. Mass of ethylene glycol which should be
added to 4 kg of wat
View Question A 5.2 molal aqueous solution of methyl alcohol, CH3OH, is supplied. What is the mole fraction of methyl
alcohol in the s
View Question Ozonolysis of an organic compound gives formaldehyde as one of the products. This confirms the
presence of :
View Question Identify the compound that exhibits tautomerism.
View Question 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 grap
View Question The entropy change involved in the isothermal reversible expansion of 2 moles of an ideal gas from a
volume of 10 dm3 to
View Question The degree of dissociation ($$\alpha$$ ) of a weak electrolyte, AxBy is related to van’t Hoff factor (i) by the expressi
View Question Trichloroacetaldehyde was subjected to Cannizzaro’s reaction by using NaOH. The mixture of the
products contains sodium
View Question The outer electron configuration of $$Gd$$ (Atomic No. $$64$$) is :
View Question Outer electronic configuration of Gd (Atomic no : 64) is -
View Question The presence or absence of hydroxyl group on which carbon atom of sugar differentiates RNA and DNA ?
View Question Silver Mirror test is given by which one of the following compounds ?
View Question Sodium ethoxide has reacted with ethanoyl chloride. The compound that is produced in the above
reaction is
View Question The strongest acid amongst the following compounds is :
View Question Which of the following reagents may be used to distinguish between phenol and benzoic acid ?
View Question Phenol is heated with a solution of mixture of KBr and KBrO3. The major product obtained in the above
reaction is
View Question The magnetic moment (spin only) of [NiCl4]2− is
View Question Which of the following facts about the complex [Cr (NH3)6 ]Cl3 is wrong?
View Question In context of the lanthanoids, which of the following statements is not correct?
View Question Which of the following statements regarding sulphur is incorrect?
View Question Which of the following statement is wrong?
View Question The rate of a chemical reaction doubles for every 10oC rise of temperature. If the temperature is raised
by 50oC , the r
View Question The reduction potential of hydrogen half cell will be negative if :
View Question The structure of IF7 is :
View Question The hybridization of orbitals of N atom in $$NO_3^-$$, $$NO_2^+$$ and $$NH_4^+$$ are respectively :
View Question Among the following the maximum covalent character is shown by the compound :
View Question Which one of the following order represents the correct sequence of the increasing basic nature of the
given oxides ?
View Question 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 :
View Question Mathematics
If the mean deviation about the median of the numbers a, 2a,........., 50a is 50, then |a| equals
View Question The value of $$p$$ and $$q$$ for which the function
$$f\left( x \right) = \left\{ {\matrix{
{{{\sin (p + 1)x + \sin x
View Question $$\mathop {\lim }\limits_{x \to 2} \left( {{{\sqrt {1 - \cos \left\{ {2(x - 2)} \right\}} } \over {x - 2}}} \right)$$
View Question The domain of the function f(x) = $${1 \over {\sqrt {\left| x \right| - x} }}$$ is
View Question Let $$\alpha \,,\beta $$ be real and z be a complex number. If $${z^2} + \alpha z + \beta = 0$$ has two distinct roots
View Question For $$x \in \left( {0,{{5\pi } \over 2}} \right),$$ define $$f\left( x \right) = \int\limits_0^x {\sqrt t \sin t\,dt.} $
View Question The vectors $$\overrightarrow a $$ and $$\overrightarrow b $$ are not perpendicular and $$\overrightarrow c $$ and $$\ov
View Question If $$C$$ and $$D$$ are two events such that $$C \subset D$$ and $$P\left( D \right) \ne 0,$$ then the correct statement
View Question If $${{dy} \over {dx}} = y + 3 > 0\,\,$$ and $$y(0)=2,$$ then $$y\left( {\ln 2} \right)$$ is equal to :
View Question Let $$I$$ be the purchase value of an equipment and $$V(t)$$ be the value after it has been used for $$t$$ years. The va
View Question The area of the region enclosed by the curves $$y = x,x = e,y = {1 \over x}$$ and the positive $$x$$-axis is :
View Question The value of $$\int\limits_0^1 {{{8\log \left( {1 + x} \right)} \over {1 + {x^2}}}} dx$$ is
View Question The number of values of $$k$$ for which the linear equations
$$4x + ky + 2z = 0,kx + 4y + z = 0$$ and $$2x+2y+z=0$$ pos
View Question Let $$A$$ and $$B$$ be two symmetric matrices of order $$3$$.
Statement - 1 : $$A(BA)$$ and $$(AB)$$$$A$$ are symmetri
View Question $${{{d^2}x} \over {d{y^2}}}$$ equals:
View Question Equation of the ellipse whose axes of coordinates and which passes through the point $$(-3,1)$$ and has eccentricity $$\
View Question A man saves ₹ 200 in each of the first three months of his service. In each of the subsequent months his saving increase
View Question Statement - 1: The number of ways of distributing 10 identical balls in 4 distinct boxes such that no box is emply is
View Question These are 10 points in a plane, out of these 6 are collinear, if N is the number of triangles formed by joining these po
View Question If $$\omega ( \ne 1)$$ is a cube root of unity, and $${(1 + \omega )^7} = A + B\omega \,$$. Then $$(A,B)$$ equals :
View Question If $$A = {\sin ^2}x + {\cos ^4}x,$$ then for all real $$x$$:
View Question Statement - 1 : The point $$A(1,0,7)$$ is the mirror image of the point
$$B(1,6,3)$$ in the line : $${x \over 1} = {{y
View Question Let $R$ be the set of real numbers.
Statement I : $A=\{(x, y) \in R \times R: y-x$ is an integer $\}$ is an equivalence
View Question Let $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be three non-zero vectors which are pairwise
View Question Physics
This question has Statement - $$1$$ and Statement - $$2$$. Of the four choices given after the statements, choose the on
View Question Energy required for the electron excitation in $$L{i^{ + + }}$$ from the first to the third Bohr orbit is :
View Question A car is fitted with a convex side-view mirror of focal length $$20$$ $$cm$$. A second car $$2.8m$$ behind the first car
View Question This question has a paragraph followed by two statements, Statement $$-1$$ and Statement $$-2$$. Of the given four alte
View Question Let $$x$$-$$z$$ plane be the boundary between two transparent media. Medium $$1$$ in $$z \ge 0$$ has a refractive index
View Question A resistor $$'R'$$ and $$2\mu F$$ capacitor in series is connected through a switch to $$200$$ $$V$$ direct supply. Acro
View Question A boat is moving due east in a region where the earth's magnetic fields is $$5.0 \times {10^{ - 5}}$$ $$N{A^{ - 1}}\,{m^
View Question A fully charged capacitor $$C$$ with initial charge $${q_0}$$ is connected to a coil of self inductance $$L$$ at $$t=0.$
View Question A current $$I$$ flows in an infinitely long wire with cross section in the form of a semi-circular ring of radius $$R.$$
View Question If a wire is stretched to make it $$0.1\% $$ longer, its resistance will:
View Question Two identical charged spheres suspended from a common point by two massless strings of length $$l$$ are initially a dist
View Question The electrostatic potential inside a charged spherical ball is given by $$\phi = a{r^2} + b$$ where $$r$$ is the distan
View Question A mass $$M,$$ attached to a horizontal spring, executes $$S.H.M.$$ with amplitude $${A_1}.$$ When the mass $$M$$ passes
View Question The transverse displacement $$y(x, t)$$ of a wave on a string is given by $$y\left( {x,t} \right) = {e^{ - \left( {a{x^2
View Question Two particles are executing simple harmonic motion of the same amplitude $$A$$ and frequency $$\omega $$ along the $$x$$
View Question $$100g$$ of water is heated from $${30^ \circ }C$$ to $${50^ \circ }C$$. Ignoring the slight expansion of the water, the
View Question Three perfect gases at absolute temperatures $${T_1},\,{T_2}$$ and $${T_3}$$ are mixed. The masses of molecules are $${m
View Question A thermally insulated vessel contains an ideal gas of molecular mass $$M$$ and ratio of specific heats $$\gamma .$$ It i
View Question Water is flowing continuously from a tap having an internal diameter $$8 \times {10^{ - 3}}\,\,m.$$ The water velocity a
View Question Work done in increasing the size of a soap bubble from a radius of $$3$$ $$cm$$ to $$5$$ $$cm$$ is nearly (Surface tensi
View Question Two bodies of masses $$m$$ and $$4$$ $$m$$ are placed at a distance $$r.$$ The gravitational potential at a point on the
View Question A pulley of radius $$2$$ $$m$$ is rotated about its axis by a force $$F = \left( {20t - 5{t^2}} \right)$$ newton (where
View Question A mass $$m$$ hangs with the help of a string wrapped around a pulley on a frictionless bearing. The pulley has mass $$m$
View Question A thin horizontal circular disc is rotating about a vertical axis passing through its center. An insect is at rest at a
View Question An object, moving with a speed of 6.25 m/s, is decelerated at a rate given by :
$${{dv} \over {dt}} = - 2.5\sqrt v $$ w
View Question A water fountain on the ground sprinkles water all around it. If the speed of water coming out of the
fountain is v, the
View Question A screw gauge gives the following reading when used to measure the diameter of a wire.
Main scale reading : 0 mm
Circula
View Question