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IIT-JEE 2012 Paper 1 Offline

Exam Held on Sun Apr 08 2012 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is...
In allene (C<sub>3</sub>H<sub>4</sub>), the type(s) of hybridisation of the carb...
Choose the correct reason for the stability of the Iyophobic colloidal particles...
29.2 % (w/w) HCl stock solution has density of 1.25 g mL<sup> -1</sup> . The mol...
The periodic table consists of 18 groups. An isotope of copper, on bombardment w...
An organic compound undergoes first-order decomposition. The time taken for its ...
<p>A compound M<sub>p</sub>X<sub>q</sub> has cubic close packing (ccp) arrangeme...
<p>The carboxyl functional group ($$-$$COOH) is present in</p>
<p>As per IUPAC nomenclature, the name of the complex $$[Co{({H_2}O)_4}{(N{H_3})...
<p>Which ordering of compounds is according to the decreasing order of the oxida...
<p>For one mole of a van der Waals gas when b = 0 and T = 300 K, the PV vs. 1/V ...
<p>The number of aldol reactions that occur in the given transformation are</p> ...
<p>The colour of light absorbed by an aqueous solution of CuSO<sub>4</sub> is</p...
<p>The number of optically active products obtained from the complete ozonolysis...
<p>Which of the following hydrogen halides reacts with AgNO<sub>3</sub>(aq.) to ...
<p>Identify the binary mixtures that can be separated into individual compounds,...
<p>For an ideal gas, consider only P-V work in going from an initial state X to ...
<p>Which of the following molecules, in pure form, is(are) unstable at room temp...
<p>The substituents R<sub>1</sub> and R<sub>2</sub> for nine peptides are listed...
<p>When the following aldohexose exists in its D-configuration, the total number...

Mathematics

Let z be a complex number such that the imaginary part of z is non-zero and $$a\...
Let $$\theta ,\,\varphi \, \in \,\left[ {0,2\pi } \right]$$ be such that <br>$$...
The total number of ways in which 5 balls of different colours can be distribute...
The locus of the mid-point of the chord of contact of tangents drawn from points...
The ellipse $${E_1}:{{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ is inscribed in ...
Tangents are drawn to the hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1,...
Let $$S$$ be the focus of the parabola $${y^2} = 8x$$ and let $$PQ$$ be the comm...
Let $$f:IR \to IR$$ be defined as $$f\left( x \right) = \left| x \right| + \left...
Let $$p(x)$$ be a real polynomial of least degree which has a local maximum at $...
The integral $$\int {{{{{\sec }^2}x} \over {\left( {\sec x + \tan x} \right){9 \...
Let $$S$$ be the area of the region enclosed by $$y = {e^{ - {x^2}}}$$, $$y=0$$,...
If $$y(x)$$ satisfies the differential equation $$y' - y\,tan\,x = 2x\,secx$$ an...
A ship is fitted with three engines $${E_1},{E_2}$$ and $${E_3}$$. The engines f...
The point $$P$$ is the intersection of the straight line joining the points $$Q(...
If $$\overrightarrow a ,\overrightarrow b $$ and $$\overrightarrow c $$ are unit...
<p>If $$\mathop {\lim }\limits_{x \to \infty } \left( {{{{x^2} + x + 1} \over {x...
<p>Let $$P = [{a_{ij}}]$$ be a 3 $$\times$$ 3 matrix and let $$Q = [{b_{ij}}]$$,...
<p>Let $$f(x) = \left\{ {\matrix{ {{x^2}\left| {\cos {\pi \over x}} \right|,...
<p>The function $$f:[0,3] \to [1,29]$$, defined by $$f(x) = 2{x^3} - 15{x^2} + 3...
<p>The value of $$6 + {\log _{3/2}}\left( {{1 \over {3\sqrt 2 }}\sqrt {4 - {1 \o...

Physics

In the determination of Young's modulus $$\left( {Y = {{4MLg} \over {\pi l{d^2}}...
A mixture of 2 moles of helium gas (atomic mass = 4 amu) and 1 mole of argon gas...
Two large vertical and parallel metal plates having a separation of $$1$$ $$cm$$...
Consider a thin spherical shell of radius $$R$$ with center at the origin, carry...
A cubical region of side $$a$$ has its center at the origin. It encloses three f...
<p>A small mass m is attached to a massless string whose other end is fixed at P...
<p>A biconvex lens is formed with two planoconvex lenses as shown in the figure....
<p>A thin uniform rod, pivoted at O, is rotating in the horizontal plane with co...
<p>Three very large plates of same area are kept parallel and close to each othe...
<p>A small block is connected to one end of a massless spring of un-stretched le...
<p>Young's double slit experiment is carried out by using green, red and blue li...
<p>Consider the motion of a positive point charge in a region, there are simulta...
<p>A person blows into the open end of a long pipe. As a result, a high-pressure...
<p>A small block of mass 0.1 kg lies on a fixed inclined plane PQ which makes an...
<p>For the resistance network shown in the figure, choose the correct option(s)....
<p>A circular wire loop of radius R is placed in the xy plane centred at the ori...
<p>An infinitely long solid cylinder of radius R has a uniform volume charge den...
<p>A proton is fired from very far away towards a nucleus with charge Q = 120e, ...
<p>A lamina is made by removing a small disc of diameter 2R from a bigger disc o...
<p>A cylinder cavity of diameter a exists inside a cylinder of diameter 2a as sh...

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