IIT-JEE 2010 Paper 1 Offline

Paper was held on
Sun, Apr 11, 2010 9:00 AM

## 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

View Question Based on VSEPR theory, the number of 90 degree F-Br-F angles in BrF5 is

View Question The species which by definition has ZERO standard molar enthalpy of formation at 298 K is

View Question Among the following, the intensive property is (properties are)

View Question Aqueous solution of HNO3, KOH and CH3COOH and CH3COONa of identical concentrations are provided. The pairs of solutions

View Question Amongst the following the total number of compounds whose aqueous solution turns red litmus paper blue is
KCN, K2SO4, (N

View Question The reagent(s) used for softening the temporary hardness of water is (are)

View Question The total number of cyclic isomers possible for a hydrocarbon with the molecular formula C4H6 is

View Question The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of sodium amide and and alkyne

View Question The bond energy (in kcal mol-1) of a C-C single bond is approximately

View Question The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resul

View Question The concentration of potassium ions inside a biological cell is at least twenty times higher than the outside. The resul

View Question The concentration of R in the reaction R $$\to$$ P was measured as a function of time and the following data is obtained

View Question The number of neutrons emitted when $${}_{92}^{235}U$$ undergoes controlled nuclear fission to $${}_{54}^{142}Xe$$ and $

View Question The correct statement about the following disaccharide is :

View Question In the reaction
the products are :

View Question Plots showing the variation of the rate constant ($$k$$) with temperature ($$T$$) are given below. The point that follow

View Question The correct structure of ethylenediaminetetraacetic acid (EDTA) is

View Question The ionisation isomer of $$\mathrm{[Cr(H_2O)_4Cl(NO_2)]Cl}$$ is

View Question In the Newman projection for 2,2-dimethylbutane, X and Y can, respectively, be

View Question In the reaction
The intermediate(s) is(are)

View Question Partial roasting of chalcopyrite produces

View Question Iron is removed from chalcopyrite as

View Question In self-reduction, the reducing species is

View Question The total number of basic groups in the following form of lysine is

View Question In the scheme given below, the total number of intra molecular aldol condensation products formed from Y is ____________

View Question Amongst the following, the total number of compounds soluble in aqueous NaOH is _________.

View Question The value of $$n$$ in the molecular formula $$\mathrm{Be_n Al_2Si_6O_{18}}$$ is ___________.

View Question ## Mathematics

The number of all possible values of $$\theta $$ where $$0 < \theta < \pi ,$$ for which the system of equations
$

View Question The number of values of $$\theta $$ in the interval, $$\left( { - {\pi \over 2},\,{\pi \over 2}} \right)$$ such
that

View Question The maximum value of the expression $${1 \over {{{\sin }^2}\theta + 3\sin \theta \cos \theta + 5{{\cos }^2}\theta }}$$

View Question Let $${{z_1}}$$ and $${{z_2}}$$ be two distinct complex number and let z =( 1 - t)$${{z_1}}$$ + t$${{z_2}}$$ for some re

View Question Let $$p$$ and $$q$$ be real numbers such that $$p \ne 0,\,{p^3} \ne q$$ and $${p^3} \ne - q.$$ If $${p^3} \ne - q.$$

View Question Let $${S_k}$$= 1, 2,....., 100, denote the sum of the infinite geometric series whose first term is $$\,{{k - 1} \over {

View Question Let $$A$$ and $$B$$ be two distinct points on the parabola $${y^2} = 4x$$. If the axis of the parabola touches a circle

View Question The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ intersect at the point

View Question The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2}} \over 4} = 1$$ intersect at the point

View Question The line $$2x + y = 1$$ is tangent to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If this l

View Question If the angles $$A, B$$ and $$C$$ of a triangle are in an arithmetic progression and if $$a, b$$ and $$c$$ denote the len

View Question Let $$ABC$$ be a triangle such that $$\angle ACB = {\pi \over 6}$$ and let $$a, b$$ and $$c$$ denote the lengths of the

View Question Let $$f$$ be a real-valued differentiable function on $$R$$ (the set of all real numbers) such that $$f(1)=1$$. If the $

View Question The value of $$\mathop {\lim }\limits_{x \to 0} {1 \over {{x^3}}}\int\limits_0^x {{{t\ln \left( {1 + t} \right)} \over {

View Question The value of $$\int\limits_0^1 {{{{x^4}{{\left( {1 - x} \right)}^4}} \over {1 + {x^2}}}dx} $$ is (are)

View Question Let $$f$$ be a real-valued function defined on the interval $$\left( {0,\infty } \right)$$
by $$\,f\left( x \right) = \

View Question For any real number $$x,$$ let $$\left[ x \right]$$ denote the largest integer less than or equal to $$x.$$ Let $$f$$ be

View Question Let $$\omega $$ be a complex cube root of unity with $$\omega \ne 1.$$ A fair die is thrown three times. If $${r_1},$$

View Question 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

View Question Equation of the plane containing the straight line $${x \over 2} = {y \over 3} = {z \over 4}$$ and perpendicular to the

View Question If $$\overrightarrow a $$ and $$\overrightarrow b $$ are vectors in space given by $$\overrightarrow a = {{\widehat i -

View Question If the distance between the plane $$Ax-2y+z=d$$ and the plane containing the lines $${{x - 1} \over 2} = {{y - 2} \over

View Question ## Physics

A student uses a simple pendulum of exactly 1m length to determine g, the acceleration due to gravity. He
uses a stop wa

View Question 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

View Question A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg
mass rev

View Question 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

View Question Gravitational acceleration on the surface of a planet is $${{\sqrt 6 } \over {11}}g$$, where $$g$$ is the gravitational

View Question 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

View Question A real gas behaves like an ideal gas if its

View Question Two spherical bodies A (radius 6 cm ) and B (radius 18 cm ) are at temperature T1 and T2, respectively.
The maximum inte

View Question 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

View Question A few electric field lines for a system of two charges $${Q_1}$$ and $${Q_2}$$ fixed at two different points on the $$x$

View Question Incandescent bulbs are designed by keeping in mind that the resistance of their filament increases with the increase in

View Question To verify Ohm's law, a student is provided with a test resitor RT, a high resistance R1, a small resistance R2, two iden

View Question An AC voltage source of variable angular frequency $$\omega$$ and fixed amplitude V0 is connected in series with a capac

View Question A thin flexible wire of length L is connected to two adjacent fixed points and carries a current I in the clockwise dire

View Question A thin uniform annular disc (see figure) of mass M has outer radius 4R and inner radius 3R. The work required to take a

View Question Consider a thin square sheet of side L and thickness, made of a material of resistivity $$\rho$$. The resistance between

View Question 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

View Question 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

View Question In the graph below, the resistance R of a superconductor is shown as a friction of its temperature T for two different m

View Question 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

View Question If the total energy of the particle is E, it will perform periodic motion only if

View Question For periodic motion of small amplitude A, the time period T of this particle is proportional to

View Question The acceleration of this particle for $$|x| > {X_0}$$ is

View Question A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching the source. Th

View Question 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

View Question An $$\alpha$$-particle and a proton are accelerated from the rest by a potential difference of 100 V. After this, their

View Question When two identical batteries of internal resistance 1 $$\Omega$$ each are connected in series across a resistor R, the r

View Question When two progressive waves $${y_1} = 4\sin (2x - 6t)$$ and $${y_2} = 3\sin \left( {2x - 6t - {\pi \over 2}} \right)$$ a

View Question