AIEEE 2012

Ortho–Nitrophenol is less soluble in water than p– and m– Nitrophenols because :

In the given transformation, which of the following is the most appropriate reagent ?

Which of the following compounds can be detected by Molisch’s test ?

Which one of the following statements is correct ?

In which of the following pairs the two species are not isostructural ?

The equilibrium constant (KC) for the reaction N2(g) + O2(g) \(\to\) 2NO(g) at temperature T is 4 \(\times\) 10–4. The value of KC for the reaction, NO(g) \(\to\) 1/2N2(g) + 1/2O2(g) at the same temperature is :

For a first order reaction, (A) \(\to\) products, the concentration of A changes from 0.1 M to 0.025 M in 40
minutes. The rate of reaction when the concentration of A is 0.01 M is :

Aspirin is known as :

Which among the following will be named as dibromidobis (ethylene diamine) chromium(III) bromide?

Iron exhibits + 2 and +3 oxidation states. Which of the following statements about iron is incorrect?

The standard reduction potentials for Zn2+/ Zn, Ni2+/ Ni, and Fe2+/ Fe are –0.76, –0.23 and –0.44 V respectively. The reaction X + Y2+ \(\to\) X2+ + Y will be spontaneous when :

The compressibility factor for a real gas at high pressure is :

How many chiral compounds are possible on monochlorination of 2–methyl butane ?

Iodoform can be prepared from all except :

What is DDT among the following?

2–Hexyne gives trans–2–Hexene on treatment with :

Which branched chain isomer of the hydrocarbon with molecular mass 72u gives only one isomer of
mono substituted alkyl halide ?

Very pure hydrogen (99.9%) can be made by which of the following processes?

The pH of a 0.1 molar solution of the acid HQ is 3. The value of the ionization constant, Ka of this acid is :

Which method of purification is represented by the following equation :
Ti (s) + 2I2 (g) \(\buildrel {523K} \over \longrightarrow\) TiI4 (g) \(\buildrel {1700K} \over \longrightarrow\) Ti (s) + 2I2 (g)

The molecule having smallest bond angle is :

The increasing order of the ionic radii of the given isoelectronic species is :

The species which can best serve as an initiator for the cationic polymerization is :

Which of the following on thermal decomposition yields a basic as well as an acidic oxide?

Lithium forms body centred cubic structure. The length of the side of its unit cell is 351 pm. Atomic radius
of the lithium will be :

Kf for water is 1.86K kg mol–1. If your automobile radiator holds 1.0 kg of water, how many grams of
ethylene glycol (C2H6O2) must you add to get the freezing point of the solution lowered to –2.8oC ?

The density of a solution prepared by dissolving 120 g of urea (mol. Mass = 60 u ) in 1000g of water is
1.15 g/mL. The molarity of this solution is :

The electrons identified by quantum numbers n and l :
(a) n = 4, \(l\) = 1
(b) n = 4, \(l\) = 0
(c) n = 3, \(l\) = 2
(d) n = 3, \(l\) = 1
Can be placed in order of increasing energy as :

According to Freundlich adsorption isotherm, which of the following is correct ?

The incorrect expression among the following is :

If the line \({{x - 1} \over 2} = {{y + 1} \over 3} = {{z - 1} \over 4}\) and \({{x - 3} \over 1} = {{y - k} \over 2} = {z \over 1}\) intersect, then \(k\) is equal to :

A equation of a plane parallel to the plane \(x-2y+2z-5=0\) and at a unit distance from the origin is :

A spherical balloon is filled with \(4500\pi\) cubic meters of helium gas. If a leak in the balloon causes the gas to escape at the rate of \(72\pi\) cubic meters per minute, then the rate (in meters per minute) at which the radius of the...

Let \(a,b \in R\) be such that the function \(f\) given by \(f\left( x \right) = In\left| x \right| + b{x^2} + ax,\,x \ne 0\) has extreme values at \(x=-1\) and \(x=2\)
Statement-1 : \(f\) has local maximum at \(x=-1\) and at \(x=2\).
Stat...

A line is drawn through the point \((1, 2)\) to meet the coordinate axes at \(P\) and \(Q\) such that it forms a triangle \(OPQ,\) where \(O\) is the origin. If the area of the triangle \(OPQ\) is least, then the slope of the line \(PQ\) i...

The area between the parabolas \({x^2} = {y \over 4}\) and \({x^2} = 9y\) and the straight line \(y=2\) is :

If \(n\) is a positive integer, then \({\left( {\sqrt 3 + 1} \right)^{2n}} - {\left( {\sqrt 3 - 1} \right)^{2n}}\) is :

The length of the diameter of the circle which touches the \(x\)-axis at the point \((1, 0)\) and passes through the point \((2, 3)\) is :

If \(z \ne 1\) and \(\,{{{z^2}} \over {z - 1}}\,\) is real, then the point represented by the complex number z lies :

If \(g\left( x \right) = \int\limits_0^x {\cos 4t\,dt,}\) then \(g\left( {x + \pi } \right)\) equals

The population \(p\) \((t)\) at time \(t\) of a certain mouse species satisfies the differential equation \({{dp\left( t \right)} \over {dt}} = 0.5\,p\left( t \right) - 450.\,\,\) If \(p(0)=850,\) then the time at which the population becom...

STATEMENT-1 : An equation of a common tangent to the parabola \({y^2} = 16\sqrt 3 x\) and the ellipse \(2{x^2} + {y^2} = 4\) is \(y = 2x + 2\sqrt 3\)
STATEMENT-2 :If line \(y = mx + {{4\sqrt 3 } \over m},\left( {m \ne 0} \right)\) is a com...

An ellipse is drawn by taking a diameter of thec circle \({\left( {x - 1} \right)^2} + {y^2} = 1\) as its semi-minor axis and a diameter of the circle \({x^2} + {\left( {y - 2} \right)^2} = 4\) is semi-major axis. If the centre of the ellip...

If the \(\int {{{5\tan x} \over {\tan x - 2}}dx = x + a\,\ln \,\left| {\sin x - 2\cos x} \right| + k,}\) then \(a\) is
equal to :

If \(f:R \to R\) is a function defined by
\(f\left( x \right) = \left[ x \right]\cos \left( {{{2x - 1} \over 2}} \right)\pi\),
where [x] denotes the greatest integer function, then \(f\) is

Consider the function, \(f\left( x \right) = \left| {x - 2} \right| + \left| {x - 5} \right|,x \in R\)
Statement - 1 : \(f'\left( 4 \right) = 0\)
Statement - 2 : \(f\) is continuous in [2, 5], differentiable in (2, 5) and \(f\)(2) = \(f\)(5...

The negation of the statement “If I become a teacher, then I will open a school” is :

Let \(P\) and \(Q\) be \(3 \times 3\) matrices \(P \ne Q.\) If \({P^3} = {Q^3}\) and
\({P^2}Q = {Q^2}P\) then determinant of \(\left( {{P^2} + {Q^2}} \right)\) is equal to :

Let \(A = \left( {\matrix{ 1 & 0 & 0 \cr 2 & 1 & 0 \cr 3 & 2 & 1 \cr } } \right)\). If \({u_1}\) and \({u_2}\) are column matrices such
that \(A{u_1} = \left( {\matrix{ 1 \cr 0 \cr 0 \cr } } \right)\) and...

Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is: