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IIT-JEE 2011 Paper 1 Offline

Exam Held on Sun Apr 10 2011 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The difference in the oxidation numbers of the two types of sulphur atoms in Na<...
The maximum number of electrons that can have principal quantum number, n = 3, a...
The work function ( Ļ† ) of some metals is listed below. The number of metals whi...
Geometrical shapes of the complexes formed by the reaction of Ni<sup>2+</sup> wi...
According to kinetic theory of gases
To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1...
Among the following compound, the most acidic is
The correct statement(s) pertaining to the adsorption of a gas on a solid surfac...
Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of den...
Extraction of metal from the ore cassiterite involves

Mathematics

The positive integer value of $$n\, &gt; \,3$$ satisfying the equation $${1 \ove...
If z is any complex number satisfying $$\,\left| {z - 3 - 2i} \right| \le 2$$, t...
The minimum value of the sum of real numbers $${a^{ - 5}},\,{a^{ - 4}},\,3{a^{ -...
Let $$\alpha $$ and $$\beta $$ be the roots of $${x^2} - 6x - 2 = 0,$$ with $$\...
Let $$\left( {{x_0},{y_0}} \right)$$ be the solution of the following equations...
Let $${{a_1}}$$, $${{a_2}}$$, $${{a_3}}$$........ $${{a_{100}}}$$ be an arithmet...
A straight line $$L$$ through the point $$(3, -2)$$ is inclined at an angle $${6...
Let the eccentricity of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over...
Consider the parabola $${y^2} = 8x$$. Let $${\Delta _1}$$ be the area of the tri...
Let $$f\left( \theta \right) = \sin \left( {{{\tan }^{ - 1}}\left( {{{\sin \the...
The value of $$\,\int\limits_{\sqrt {\ell n2} }^{\sqrt {\ell n3} } {{{x\sin {x^2...
Let the straight line $$x=b$$ divide the area enclosed by <br>$$y = {\left( {1 ...
<p>The probability of the drawn ball from $${U_2}$$ being white is </p>
<p>Given that the drawn ball from $${U_2}$$ is white, the probability that head ...
Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\,\overrightarro...
The vector (s) which is/are coplanar with vectors $${\widehat i + \widehat j + 2...
<p>Let $$P = \{ \theta :\sin \theta - \cos \theta = \sqrt 2 \cos \theta \} $$ ...
<p>Let f : R $$\to$$ R be a function such that $$f(x + y) = f(x) + f(y),\,\foral...
<p>Let M and N be two 3 $$\times$$ 3 non-singular skew symmetric matrices such t...
<p>If the point P(a, b, c), with reference to (E), lies on the plane 2x + y + z ...
<p>Let $$\omega$$ be a solution of $${x^3} - 1 = 0$$ with $${\mathop{\rm Im}\nol...
<p>Let b = 6, with a and c satisfying (E). If $$\alpha$$ and $$\beta$$ are the r...
<p>Let $$f:[1,\infty ) \to [2,\infty )$$ be a differentiable function such that ...

Physics

A dense collection of equal number of electrons and positive ions is called neut...
A dense collection of equal number of electrons and positive ions is called neut...
<p>A ball of mass (m) 0.5 kg is attached to the end of a string having length (L...
A block is moving on an inclined plane making an angle $$45^\circ $$ with the ho...
<p>Four solid spheres each of diameter $$\sqrt 5 $$ cm and mass 0.5 kg are place...
5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking ...
Steel wire of lenght ā€˜Lā€™ at 40<sup>o</sup>C is suspended from the ceiling and th...
A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 ...
Consider an electric field $$\overrightarrow E = {E_0}\widehat x$$ where $${E_0...
A $$2$$ $$\mu F$$ capacitor is charged as shown in the figure. The percentage o...
A spherical metal shell A of radius $${R_A}$$ and a solid metal sphere $$B$$ of ...
<p>The wavelength of the first spectral line in the Balmer series of hydrogen at...
<p>A meter bridge is set up as shown, to determine an unknown resistance X using...
<p>A metal rod of length L and mass m is pivoted at one end. A thin disk of mass...
<p>A composite block is made of slabs A, B, C, D and E of different thermal cond...
<p>An electron and a proton are moving on straight parallel paths with same velo...
<p>The phase space diagram for a ball thrown vertically up from ground is</p>
<p>The phase space diagram for simple harmonic motion is a circle centred at the...
<p>Consider the spring-mass system, with the mass submerged in water, as shown i...
<p>A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown i...
<p>Four point charges, each of +q, are rigidly fixed at the four corners of a sq...
<p>The activity of a freshly prepared radioactive sample is 10<sup>10</sup> disi...
<p>A long circular tube of length 10 m and radius 0.3 m carries a current I alon...

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