IIT-JEE 2011 Paper 2 Offline

Paper was held on
Sat, Apr 9, 2011 9:00 PM

## Chemistry

Match the transformations in column I with appropriate options in column II
Column I
(A) CO2(s) $$\to$$ CO2(g)
(B) CaCO3

View Question In 1 L saturated solution of AgCl [Ksp(AgCl) = 1.6 $$\times$$ 10-10], 0.1 mol of CuCl [Ksp(CuCl) = 1.0 $$\times$$ 10-6]

View Question The number of hexagonal faces that are present in a truncated octahedron is ____________.

View Question The freezing point (in oC) of a solution containing 0.1 g of K3[Fe(CN)6] (Mol. wt. 329) in 100 g of water (Kf = 1.86 K k

View Question Consider the following cell reaction:
2Fe(s) + O2(g) + 4H+(aq) $$\to$$ 2Fe2+ (aq) + 2H2O (l); Eo = 1.67 V
At [Fe2+] = 10

View Question For the first order reaction
2N2O5 (g) $$\to$$ 4NO2 (g) + O2 (g)

View Question Oxidation states of the metal in the minerals haematite and magnetite, respectively are

View Question Among the following complexes (K-P),
K3[Fe(CN)6] (K), [Co(NH3)6]Cl3 (L), Na3[Co(oxalate)3] (M), [Ni(H2O)3]Cl2 (N), K2[Pt

View Question Passing H2S gas into a mixture of Mn2+, Ni2+, Cu2+ and Hg2+ ions in an acidified aqueous solution precipitates

View Question Amongst the compounds given, the one that would from a brilliant coloured dye on treatment with NaNO2 in dil. HCl follow

View Question Reduction of the metal centre in aqueous permanganate ion involves

View Question The total number of contributing structure showing hyper-conjugation (involving C-H bonds) for the following carbocation

View Question Among the following, the number of compounds that can react with PCl5 to given POCl3 is _____________.
O2, CO2, SO2, H2O

View Question The volume (in mL) of 0.1 M AgNO3 required for complete precipitation of chloride ions present in 30 mL of 0.01 M soluti

View Question The maximum number of isomers (including stereoisomers) that are possible on mono-chlorination of the following compound

View Question Match the reactions in Column I with appropriate types of steps/reactive intermediate involved in these reactions as giv

View Question ## Mathematics

Let $$\omega = {e^{{{i\pi } \over 3}}}$$, and a, b, c, x, y, z be non-zero complex numbers such that
$$a + b + c = x$$

View Question The number of distinct real roots of $${x^4} - 4{x^3} + 12{x^2} + x - 1 = 0$$

View Question A value of $$b$$ for which the equations
$$$\matrix{
{{x^2} + bx - 1 = 0} \cr
{{x^2} + x + b = 0} \cr
} $$$

View Question The circle passing through the point (-1, 0) and touching the y-axis at (0, 2) also passes through the point.

View Question The straight line 2x - 3y = 1 divides the circular region $${x^2}\, + \,{y^2}\, \le \,6$$ into two parts.
If $$S = \lef

View Question Let $$(x, y)$$ be any point on the parabola $${y^2} = 4x$$. Let $$P$$ be the point that divides the line segment from $$

View Question Let $$P(6, 3)$$ be a point on the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal at

View Question Let f $$:$$$$\left[ { - 1,2} \right] \to \left[ {0,\infty } \right]$$ be a continuous function such that
$$f\left( x \r

View Question Let $$y'\left( x \right) + y\left( x \right)g'\left( x \right) = g\left( x \right),g'\left( x \right),y\left( 0 \right)

View Question Let $$E$$ and $$F$$ be two independent events. The probability that exactly one of them occurs is $$\,{{11} \over {25}}$

View Question Match the statements given in Column -$$I$$ with the values given in Column-$$II.$$
$$\,\,\,\,$$ $$\,\,\,\,$$ $$\,\,\,\,

View Question Let $$\overrightarrow a = - \widehat i - \widehat k,\overrightarrow b = - \widehat i + \widehat j$$ and $$\overright

View Question If $$\mathop {\lim }\limits_{x \to 0} {[1 + x\ln (1 + {b^2})]^{1/x}} = 2b{\sin ^2}\theta $$, $$b > 0$$ and $$\theta \in

View Question Let f(x) = x2 and g(x) = sin x for all x $$\in$$ R. Then the set of all x satisfying $$(f \circ g \circ g \circ f)(x) =

View Question Let $$\omega$$ $$\ne$$ 1 be a cube root of unity and S be the set of all non-singular matrices of the form $$\left[ {\ma

View Question If $$f(x) = \left\{ {\matrix{
{ - x - {\pi \over 2},} & {x \le - {\pi \over 2}} \cr
{ - \cos x} & { - {\pi \

View Question Let $$f:(0,1) \to R$$ be defined by $$f(x) = {{b - x} \over {1 - bx}}$$, where b is a constant such that $$0

View Question Let L be a normal to the parabola y2 = 4x. If L passes through the point (9, 6), then L is given by

View Question Let M be a 3 $$\times$$ 3 matrix satisfying $$M\left[ {\matrix{
0 \cr
1 \cr
0 \cr
} } \right] = \left[

View Question Match the statements given in Column I with the intervals/union of intervals given in Column II :

View Question ## Physics

The density of a solid ball is to be determined in an experiment. The diameter of the ball is measured with
a screw gaug

View Question A train is moving along a straight line with a constant acceleration 'a'. A boy standing in the train throws a
ball forw

View Question A block of mass 0.18 kg is attached to a spring of force-constant 2 N/m. The
coefficient of friction between the block a

View Question A ball of mass 0.2 kg rests on a vertical post of height 5 m. A bullet
of mass 0.01 kg, traveling with a velocity V m/s

View Question A satellite is moving with a constant speed ‘V’ in a circular orbit about the earth. An object of mass ‘m’ is
ejected fr

View Question A point mass is subjected to two simultaneous sinusoidal displacements in x-direction, $${x_1}\left( t \right) = A\sin \

View Question Which of the field patterns given below is valid for electric field as well as for magnetic field ?

View Question A wooden block performs $$SHM$$ on a frictionless surface with frequency, $${v_0}.$$ The block carries a charge $$+Q$$

View Question Which of the following statement(s) is/are correct?

View Question A light ray travelling in glass medium is incident on glass-air interface at an angle of incidence $$\theta$$. The refle

View Question A long insulated copper wire is closely wound as a spiral of N turns. The spiral has inner radius a and outer radius b.

View Question Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are full

View Question A thin ring of mass 2 kg and radius 0.5 m is rolling without on a horizontal plane with velocity 1 m/s. A small ball of

View Question A series RC-current is connected to AC voltage source. Consider two cases : (A) When C is without a dielectric medium an

View Question A series RC combination is connected to an AC voltage of angular frequency $$\omega$$ = 500 rad/s. If the impedance of t

View Question A silver sphere of radius 1 cm and work function 4.7 eV is suspended from an insulating thread in free-space. It is unde

View Question Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts

View Question Water (with refractive index = 4/3) in a tank is 18 cm deep. Oil of refractive index 7/4 lies on water making a convex s

View Question One mole of a monatomic gas is taken through a cycle ABCDA as shown in the PV diagram. Column II give the characteristic

View Question Column I shows four systems, each of the same length L, for producing standing waves. The lowest possible natural freque

View Question