IIT-JEE 2011 Paper 1 Offline

Paper was held on
Sun, Apr 10, 2011 3:30 AM

## Chemistry

The difference in the oxidation numbers of the two types of sulphur atoms in Na2S4O6 is

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The maximum number of electrons that can have principal quantum number, n = 3, and spin quantum number, ms = − 1/2 , is

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The work function
( φ )
of some metals is listed below. The number of metals which will show
photoelectric effect when l

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Geometrical shapes of the complexes formed by the reaction of Ni2+ with Cl-, CN- and H2O respectively are

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According to kinetic theory of gases

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To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mol of He and 1.0 mol of an unknown com

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Among the following compound, the most acidic is

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The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)

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Dissolving 120 g of urea (mol. wt. 60) in 1000 g of water gave a solution of density 1.15 g/mL. The molarity of the solu

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Extraction of metal from the ore cassiterite involves

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The metal rod M is

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The compound N is

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The final solution contains :

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Reaction of Br2 with Na2CO3 in aqueous solution gives sodium bromide and sodium bromate with evolution of CO2 gas. The n

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The total number of alkenes possible by dehydrobromination of 3-bromo-3-cyclopentylhexane using alcoholic KOH is.

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## Mathematics

The positive integer value of $$n\, > \,3$$ satisfying the equation $${1 \over {\sin \left( {{\pi \over n}} \right)}

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If z is any complex number satisfying $$\,\left| {z - 3 - 2i} \right| \le 2$$, then the minimum value of $$\left| {2z -

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The minimum value of the sum of real numbers $${a^{ - 5}},\,{a^{ - 4}},\,3{a^{ - 3}},\,1,\,{a^8}$$ and $${a^{10}}$$ wher

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Let $$\alpha $$ and $$\beta $$ be the roots of $${x^2} - 6x - 2 = 0,$$ with $$\alpha > \beta .$$ If $${a_n} = {\al

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Let $$\left( {{x_0},{y_0}} \right)$$ be the solution of the following equations
$$\matrix{
{{{\left( {2x} \right)}^

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Let $${{a_1}}$$, $${{a_2}}$$, $${{a_3}}$$........ $${{a_{100}}}$$ be an arithmetic progression with $${{a_1}}$$ = 3 and

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A straight line $$L$$ through the point $$(3, -2)$$ is inclined at an angle $${60^ \circ }$$ to the line $$\sqrt {3x} +

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Let the eccentricity of the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$ be reciprocal to that of

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Consider the parabola $${y^2} = 8x$$. Let $${\Delta _1}$$ be the area of the triangle formed by the end points of its la

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Let $$f\left( \theta \right) = \sin \left( {{{\tan }^{ - 1}}\left( {{{\sin \theta } \over {\sqrt {\cos 2\theta } }}} \r

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The value of $$\,\int\limits_{\sqrt {\ell n2} }^{\sqrt {\ell n3} } {{{x\sin {x^2}} \over {\sin {x^2} + \sin \left( {\ell

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Let the straight line $$x=b$$ divide the area enclosed by
$$y = {\left( {1 - x} \right)^2},y = 0,$$ and $$x=0$$ into tw

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The probability of the drawn ball from $${U_2}$$ being white is

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Given that the drawn ball from $${U_2}$$ is white, the probability that head appeared on the coin is

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Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\,\overrightarrow b = \widehat i - \widehat j + \wideha

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The vector (s) which is/are coplanar with vectors $${\widehat i + \widehat j + 2\widehat k}$$ and $${\widehat i + 2\wide

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Let $$P = \{ \theta :\sin \theta - \cos \theta = \sqrt 2 \cos \theta \} $$ and $$Q = \{ \theta :\sin \theta + \cos \t

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Let f : R $$\to$$ R be a function such that $$f(x + y) = f(x) + f(y),\,\forall x,y \in R$$. If f(x) is differentiable at

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Let M and N be two 3 $$\times$$ 3 non-singular skew symmetric matrices such that MN = NM. If PT denotes the transpose of

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If the point P(a, b, c), with reference to (E), lies on the plane 2x + y + z = 1, then the value of 7a + b + c is

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Let $$\omega$$ be a solution of $${x^3} - 1 = 0$$ with $${\mathop{\rm Im}\nolimits} (\omega ) > 0$$. If a = 2 with b and

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Let b = 6, with a and c satisfying (E). If $$\alpha$$ and $$\beta$$ are the roots of the quadratic equation ax2 + bx + c

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Let $$f:[1,\infty ) \to [2,\infty )$$ be a differentiable function such that $$f(1) = 2$$. If $$6\int\limits_1^x {f(t)dt

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## Physics

A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing
fi

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A dense collection of equal number of electrons and positive ions is called neutral plasma. Certain solids containing
fi

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A ball of mass (m) 0.5 kg is attached to the end of a string having length (L) 0.5 m. The ball is rotated on a horizonta

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A block is moving on an inclined plane making an angle $$45^\circ $$ with the horizontal and the coefficient of friction

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Four solid spheres each of diameter $$\sqrt 5 $$ cm and mass 0.5 kg are placed with their centers at the corners of
a sq

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5.6 liter of helium gas at STP is adiabatically compressed to 0.7 liter. Taking the initial temperature to be
T1, the wo

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Steel wire of lenght ‘L’ at 40oC is suspended from the ceiling and then a mass ‘m’ is hung from its free
end. The wire i

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A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 km/hr towards a tall
building which refl

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Consider an electric field $$\overrightarrow E = {E_0}\widehat x$$ where $${E_0}$$ is a constant. The flux through the

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A $$2$$ $$\mu F$$ capacitor is charged as shown in the figure. The percentage of its stored energy dissipated after the

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A spherical metal shell A of radius $${R_A}$$ and a solid metal sphere $$B$$ of radius $${R_B}\left( { < {R_A}} \righ

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The wavelength of the first spectral line in the Balmer series of hydrogen atom is 6561 $$\mathop A\limits^o $$. The wav

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A meter bridge is set up as shown, to determine an unknown resistance X using a standard 10 $$\Omega$$ resistor. The gal

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A metal rod of length L and mass m is pivoted at one end. A thin disk of mass M and radius R ( < L) is attached at it

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A composite block is made of slabs A, B, C, D and E of different thermal conductivities (given in terms of a constant K)

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An electron and a proton are moving on straight parallel paths with same velocity. They enter a semi-infinite region of

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The phase space diagram for a ball thrown vertically up from ground is

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The phase space diagram for simple harmonic motion is a circle centred at the origin. In the figure, the two circles rep

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Consider the spring-mass system, with the mass submerged in water, as shown in the figure. The phase space diagram for o

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A boy is pushing a ring of mass 2 kg and radius 0.5 m with a stick as shown in the figure. The stick applies a force of

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Four point charges, each of +q, are rigidly fixed at the four corners of a square planar soap film of side a. The surfac

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The activity of a freshly prepared radioactive sample is 1010 disintegrations per second, whose mean life is 109 s. The

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A long circular tube of length 10 m and radius 0.3 m carries a current I along its curved surface as shown. A wire-loop

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