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

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

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

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

View Question According to kinetic theory of gases

View Question 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

View Question Among the following compound, the most acidic is

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

View Question 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

View Question Extraction of metal from the ore cassiterite involves

View Question The metal rod M is

View Question The compound N is

View Question The final solution contains :

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

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

View Question ## Mathematics

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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

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

View Question 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

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

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

View Question 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

View Question ## Physics

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

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

View Question 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

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

View Question 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

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

View Question 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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

View Question 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

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

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

View Question 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

View Question