IIT-JEE 2010 Paper 1 Offline
Paper was held on Sun, Apr 11, 2010 9:00 AM
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Chemistry

A student performs a titration with different burettes and finds titre values of 25.2 mL, 25.25 mL, and 25.0 mL. The num
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Based on VSEPR theory, the number of 90 degree F-Br-F angles in BrF5 is
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The species which by definition has ZERO standard molar enthalpy of formation at 298 K is
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Among the following, the intensive property is (properties are)
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Aqueous solution of HNO3, KOH and CH3COOH and CH3COONa of identical concentrations are provided. The pairs of solutions
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Amongst the following the total number of compounds whose aqueous solution turns red litmus paper blue is KCN, K2SO4, (N
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The reagent(s) used for softening the temporary hardness of water is (are)
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The total number of cyclic isomers possible for a hydrocarbon with the molecular formula C4H6 is
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The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and and alkyne
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The bond energy (in kcal mol-1) of a C-C single bond is approximately
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The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resul
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The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resul
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The concentration of R in the reaction R $$\to$$ P was measured as a function of time and the following data is obtained
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The number of neutrons emitted when $${}_{92}^{235}U$$ undergoes controlled nuclear fission to $${}_{54}^{142}Xe$$ and $
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The correct statement about the following disaccharide is :
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In the reaction the products are :
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Plots showing the variation of the rate constant ($$k$$) with temperature ($$T$$) are given below. The point that follow
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The correct structure of ethylenediaminetetraacetic acid (EDTA) is
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The ionisation isomer of $$\mathrm{[Cr(H_2O)_4Cl(NO_2)]Cl}$$ is
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In the Newman projection for 2,2-dimethylbutane, X and Y can, respectively, be
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In the reaction The intermediate(s) is(are)
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Partial roasting of chalcopyrite produces
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Iron is removed from chalcopyrite as
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In self-reduction, the reducing species is
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The total number of basic groups in the following form of lysine is
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In the scheme given below, the total number of intra molecular aldol condensation products formed from Y is ____________
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Amongst the following, the total number of compounds soluble in aqueous NaOH is _________.
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The value of $$n$$ in the molecular formula $$\mathrm{Be_n Al_2Si_6O_{18}}$$ is ___________.
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Mathematics

The number of all possible values of $$\theta $$ where $$0 < \theta < \pi ,$$ for which the system of equations $
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The number of values of $$\theta $$ in the interval, $$\left( { - {\pi \over 2},\,{\pi \over 2}} \right)$$ such that
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The maximum value of the expression $${1 \over {{{\sin }^2}\theta + 3\sin \theta \cos \theta + 5{{\cos }^2}\theta }}$$
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Let $${{z_1}}$$ and $${{z_2}}$$ be two distinct complex number and let z =( 1 - t)$${{z_1}}$$ + t$${{z_2}}$$ for some re
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Let $$p$$ and $$q$$ be real numbers such that $$p \ne 0,\,{p^3} \ne q$$ and $${p^3} \ne - q.$$ If $${p^3} \ne - q.$$
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Let $${S_k}$$= 1, 2,....., 100, denote the sum of the infinite geometric series whose first term is $$\,{{k - 1} \over {
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Let $$A$$ and $$B$$ be two distinct points on the parabola $${y^2} = 4x$$. If the axis of the parabola touches a circle
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The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ intersect at the point
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The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ intersect at the point
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The line $$2x + y = 1$$ is tangent to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If this l
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If the angles $$A, B$$ and $$C$$ of a triangle are in an arithmetic progression and if $$a, b$$ and $$c$$ denote the len
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Let $$ABC$$ be a triangle such that $$\angle ACB = {\pi \over 6}$$ and let $$a, b$$ and $$c$$ denote the lengths of the
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Let $$f$$ be a real-valued differentiable function on $$R$$ (the set of all real numbers) such that $$f(1)=1$$. If the $
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The value of $$\mathop {\lim }\limits_{x \to 0} {1 \over {{x^3}}}\int\limits_0^x {{{t\ln \left( {1 + t} \right)} \over {
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The value of $$\int\limits_0^1 {{{{x^4}{{\left( {1 - x} \right)}^4}} \over {1 + {x^2}}}dx} $$ is (are)
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Let $$f$$ be a real-valued function defined on the interval $$\left( {0,\infty } \right)$$ by $$\,f\left( x \right) = \
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For any real number $$x,$$ let $$\left[ x \right]$$ denote the largest integer less than or equal to $$x.$$ Let $$f$$ be
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Let $$\omega $$ be a complex cube root of unity with $$\omega \ne 1.$$ A fair die is thrown three times. If $${r_1},$$
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Let $$P,Q,R$$ and $$S$$ be the points on the plane with position vectors $${ - 2\widehat i - \widehat j,4\widehat i,3\wi
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Equation of the plane containing the straight line $${x \over 2} = {y \over 3} = {z \over 4}$$ and perpendicular to the
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If $$\overrightarrow a $$ and $$\overrightarrow b $$ are vectors in space given by $$\overrightarrow a = {{\widehat i -
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If the distance between the plane $$Ax-2y+z=d$$ and the plane containing the lines $${{x - 1} \over 2} = {{y - 2} \over
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Physics

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He uses a stop wa
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A block of mass m is on an inclined plane of angle θ. The coefficient of friction between the block and the plane is μ a
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A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass rev
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A binary star consists of two stars A (mass 2.2Ms) and B (mass 11Ms), where Ms is the mass of the sun. They are separate
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Gravitational acceleration on the surface of a planet is $${{\sqrt 6 } \over {11}}g$$, where $$g$$ is the gravitational
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A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wire is 1 m and its crosssectional area is
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A real gas behaves like an ideal gas if its
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Two spherical bodies A (radius 6 cm ) and B (radius 18 cm ) are at temperature T1 and T2, respectively. The maximum inte
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A piece of ice (heat capacity = 2100 J kg-1 oC-1 and latent heat = 3.36 $$ \times $$ 105 J kg-1 ) of mass m grams is at
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A few electric field lines for a system of two charges $${Q_1}$$ and $${Q_2}$$ fixed at two different points on the $$x$
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Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in
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To verify Ohm's law, a student is provided with a test resitor RT, a high resistance R1, a small resistance R2, two iden
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An AC voltage source of variable angular frequency $$\omega$$ and fixed amplitude V0 is connected in series with a capac
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A thin flexible wire of length L is connected to two adjacent fixed points and carries a current I in the clockwise dire
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A thin uniform annular disc (see figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a
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Consider a thin square sheet of side L and thickness, made of a material of resistivity $$\rho$$. The resistance between
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One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, as shown in the figure. Its pressure at A i
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A ray OP of monochromatic light is incident on the face AB of prism ABCD near vertex B at an incident angle of 60$$^\cir
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In the graph below, the resistance R of a superconductor is shown as a friction of its temperature T for two different m
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A superconductor has Tc(0) = 100 K. When a magnetic field of 7.5 T is applied, its Tc decreases to 75 K. For this materi
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If the total energy of the particle is E, it will perform periodic motion only if
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For periodic motion of small amplitude A, the time period T of this particle is proportional to
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The acceleration of this particle for $$|x| > {X_0}$$ is
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A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching the source. Th
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The focal length of a thin biconvex lens is 20 cm. When an object is moved from a distance of 25 cm in front of it to 50
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An $$\alpha$$-particle and a proton are accelerated from the rest by a potential difference of 100 V. After this, their
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When two identical batteries of internal resistance 1 $$\Omega$$ each are connected in series across a resistor R, the r
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When two progressive waves $${y_1} = 4\sin (2x - 6t)$$ and $${y_2} = 3\sin \left( {2x - 6t - {\pi \over 2}} \right)$$ a
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