IIT-JEE 2011 Paper 1 Offline
Paper was held on
Sun, Apr 10, 2011 3:30 AM
Chemistry
The correct statement(s) pertaining to the adsorption of a gas on a solid surface is (are)
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 compounds, the most acidic is
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 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 The difference in the oxidation numbers of the two types of sulphur atoms in Na2S4O6 is
View Question Bombardment of aluminium by $$\alpha$$-particle leads to its artificial disintegration in two ways : (i) and (ii) as sho
View Question AgNO3(aq.) was added to an aqueous KCl solution gradually and the conductivity of the solution was measured. The plot of
View Question The major product of the following reaction is
View Question Extra very pure N2 can be obtained by heating
View Question Among the given options, the compound(s) in which all the atoms are in one plane in all the possible conformations (if a
View Question The structure of compound P is
View Question The structure of the compound Q is
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 A decapeptide (mol. wt. 796) on complete hydrolysis gives glycine (mol. wt. 75), alanine and phenylalanine. Glycine cont
View Question Mathematics
If z is any complex number satisfying $$\,\left| {z - 3 - 2i} \right| \le 2$$, then the minimum value of $$\left| {2z -
View Question The positive integer value of $$n\, > \,3$$ satisfying the equation $${1 \over {\sin \left( {{\pi \over n}} \right)}
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}$$ be the area of the triangle formed by the end points of its la
View Question The value of $$\,\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 $$f\left( \theta \right) = \sin \left( {{{\tan }^{ - 1}}\left( {{{\sin \theta } \over {\sqrt {\cos 2\theta } }}} \r
View Question Let $$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