IIT-JEE 2012 Paper 2 Offline

Paper was held on
Sun, Apr 8, 2012 2:00 AM

## Chemistry

For a dilute solution containing 2.5 g of a non-volatile non-electrolyte solute in 100 g of water. the elevation in boil

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The electrochemical cell shown below is a concentration cell. M | M2+ (saturated solution of a sparingly soluble salt, M

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The electrochemical cell shown below is a concentration cell. M | M2+ (saturated solution of a sparingly soluble salt, M

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In the cyanide extraction process of silver from argentite ore, the oxidising and reducing agents used are

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The major product H of the given reaction sequence is
$$C{H_3} - C{H_2} - CO - C{H_3}\buildrel {\overline C N} \over
\l

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$$NiC{l_2}{\{ P{({C_2}{H_5})_2}({C_6}{H_5})\} _2}$$ exhibits temperature-dependent magnetic behaviour (paramagnetic/diam

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The reaction of white phosphorous with aqueous NaOH gives phosphine along with another phosphorus containing compound. T

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The shape of XeO2F2 molecule is

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The compound that undergoes decarboxylation most readily under mild condition is

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Using the data provided, calculate the multiple bond energy (kJ mol$$-$$1) of a C=C bond in C2H2. That energy is (take t

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The compound I is

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The compound K is

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Bleaching powder contains a salt of an oxoacid as one of its components. The anhydride of that oxoacid is

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25 mL of household bleach solution was mixed with 30 mL of 0.50 M KI and 10 mL of 4 N acetic acid. In the titration of t

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The reversible expansion of an ideal gas under adiabatic and isothermal conditions is shown in the figure. Which of the

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For the given aqueous reactions, which of the statement(s) is(are) true?

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With reference to the scheme given, which of the given statement(s) about T, U, V and W is(are) correct?

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Which of the given statement(s) about N, O, P and Q with respect to M is(are) correct?

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With respect to graphite and diamond, which of the statement(s) given below is(are) correct?

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The given graphs/data I, II, III and IV represent general trends observed for different physisorption and chemisorption

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## Mathematics

Let $${{a_n}}$$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no conse

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Let $${{a_n}}$$ denote the number of all n-digit positive integers formed by the digits 0, 1 or both such that no conse

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Let $${a_1},{a_2},{a_3},.....$$ be in harmonic progression with $${a_1} = 5$$ and $${a_{20}} = 25.$$ The least positive

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A tangent PT is drawn to the circle $${x^2}\, + {y^2} = 4$$ at the point P $$\left( {\sqrt 3 ,1} \right)$$. A straight l

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A tangent PT is drawn to the circle $${x^2}\, + {y^2} = 4$$ at the point P $$\left( {\sqrt 3 ,1} \right)$$. A straight l

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Let $$PQR$$ be a triangle of area $$\Delta $$ with $$a=2$$, $$b = {7 \over 2}$$ and $$c = {5 \over 2}$$; where $$a, b,$$

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If $$f\left( x \right) = \int_0^x {{e^{{t^2}}}} \left( {t - 2} \right)\left( {t - 3} \right)dt$$ for all $$x \in \left(

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Let $$f\left( x \right) = {\left( {1 - x} \right)^2}\,\,{\sin ^2}\,\,x + {x^2}$$ for all $$x \in IR$$ and let
$$g\left(

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Let $$f\left( x \right) = {\left( {1 - x} \right)^2}\,\,{\sin ^2}\,\,x + {x^2}$$ for all $$x \in IR$$ and let
$$g\left(

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The value of the integral $$\int\limits_{ - \pi /2}^{\pi /2} {\left( {{x^2} + 1n{{\pi + x} \over {\pi - x}}} \right)\c

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Four fair dice $${D_1,}$$ $${D_2,}$$ $${D_3}$$ and $${D_4}$$ ; each having six faces numbered $$1, 2, 3, 4, 5$$ and $$6$

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Let $$X$$ and $$Y$$ be two events such that $$P\left( {X|Y} \right) = {1 \over 2},$$ $$P\left( {Y|X} \right) = {1 \over

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The equation of a plane passing through the line of intersection of the planes $$x+2y+3z=2$$ and $$x-y+z=3$$ and at a di

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If $$\overrightarrow a $$ and $$\overrightarrow b $$ are vectors such that $$\left| {\overrightarrow a + \overrightarr

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If the straight lines $$\,{{x - 1} \over 2} = {{y + 1} \over k} = {z \over 2}$$ and $${{x + 1} \over 5} = {{y + 1} \over

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If P is a 3 $$\times$$ 3 matrix such that PT = 2P + I, where PT is the transpose of P and I is the 3 $$\times$$ 3 identi

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Let $$\alpha$$(a) and $$\beta$$(a) be the roots of the equation $$(\root 3 \of {1 + a} - 1){x^2} + (\sqrt {1 + a} - 1)

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For every integer n, let an and bn be real numbers. Let function f : R $$\to$$ R be given by
$$f(x) = \left\{ {\matrix{

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If the ad joint of a 3 $$\times$$ 3 matrix P is $$\left[ {\matrix{
1 & 4 & 4 \cr
2 & 1 & 7 \cr
1 & 1 & 3 \

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Let $$f:( - 1,1) \to R$$ be such that $$f(\cos 4\theta ) = {2 \over {2 - {{\sec }^2}\theta }}$$ for $$\theta \in \left(

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## Physics

Two identical discs of same radius R are rotating about their axes in
opposite directions with the same constant angular

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Consider a disc rotating in the horizontal plane with a constant angular speed $$\omega $$ about its centre
O. The disc

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Two solid cylinders P and Q of same mass and same radius start rolling down a fixed inclined
plane from the same height

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The figure shows a system consisting of (i) a ring of outer radius 3R rolling clockwise without
slipping on a horizontal

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Two spherical planets P and Q have the same uniform density r, masses MP and MQ and surface
areas A and 4A respectively.

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A thin uniform cylindrical shell, closed at both ends, is partially filled with water. It is floating
vertically in wate

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Two moles of ideal helium gas are in a rubber balloon at 30oC. The balloon is fully expandable
and can be assumed to req

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A student is performing the experiment of resonance Column. The diameter of the column tube is
4 cm. The frequency of th

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In the given circuit, a charge of $$+80$$ $$\mu C$$ is given to the upper plate of the $$4$$ $$\mu F$$ capacitor. Then i

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Six point charges are kept at the vertices of a regular hexagon of side $$L$$ and center $$O,$$ as shown in the figure.

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A loop carrying current $$l$$ lies in the xy-plane as shown in the figure. The unit vector $$\widehat k$$ is coming out

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An infinite long hollow conducting cylinder with inner radius R/2 and outer radius R carries a uniform current density a

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Which of the following statements about the instantaneous axis (passing through the centre of mass) is correct?

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Which of the following statements regarding the angular speed about the instantaneous axis (passing through the centre o

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What is the maximum energy of the anti-neutrino?

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If the anti-neutrino had a mass of 3 eV/c2 (where c is the speed of light) instead of zero mass, what should be the rang

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For light incident from air on a meta-material, the appropriate ray diagram is

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Choose the correct statement.

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In the given circuit, the AC source has $$\omega$$ = 100 rad/s. Considering the inductor and capacitor to be ideal, the

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A current carrying infinitely long wire is kept along the diameter of a circular wire loop, without touching it, the cor

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