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

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

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

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

View Question
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

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

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

View Question
The shape of XeO2F2 molecule is

View Question
The compound that undergoes decarboxylation most readily under mild condition is

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

View Question
The compound I is

View Question
The compound K is

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

View Question
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

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

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

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

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

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

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

View Question
## 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

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

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

View Question
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

View Question
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

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

View Question
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(

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

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

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

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

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

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

View Question
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

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

View Question
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

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

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

View Question
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 \

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

View Question
## Physics

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question
What is the maximum energy of the anti-neutrino?

View Question
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

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

View Question
Choose the correct statement.

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

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

View Question