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IIT-JEE 2010 Paper 1 Offline

Exam Held on Sun Apr 11 2010 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

A student performs a titration with different burettes and finds titre values of...
Based on VSEPR theory, the number of 90 degree F-BR-F angles in BrF<sub>5</sub> ...
The species which by definition has <b>ZERO</b> standard molar enthalpy of forma...
Among the following, the intensive property is (properties are)
A gaseous solution of HNO<sub>3</sub>, KOH and CH<sub>3</sub>COOH and CH<sub>3</...
Amongst the following the total number of compounds whose aqueous solution turns...
The reagent(s) used for softening the temporary hardness of water is (are)
The total number of cyclic isomers possible for a hydrocarbon with the molecular...
The synthesis of 3-octyne is achieved by adding a bromoalkane into a mixture of ...
The bond energy (in <b>kcal mol<sup>-1</sup></b>) of a C-C single bond is approx...
The concentration of potassium ions inside a biological cell is at least twenty ...
The concentration of potassium ions inside a biological cell is at least twenty ...
The concentration of R in the reaction R $$\to$$ P was measured as a function of...
The number of neutrons emitted when $${}_{92}^{235}U$$ undergoes controlled nucl...

Mathematics

The number of all possible values of $$\theta $$ where $$0 &lt; \theta &lt; \pi...
The number of values of $$\theta $$ in the interval, $$\left( { - {\pi \over 2...
The maximum value of the expression $${1 \over {{{\sin }^2}\theta + 3\sin \thet...
Let $${{z_1}}$$ and $${{z_2}}$$ be two distinct complex number and let z =( 1 - ...
Let $$p$$ and $$q$$ be real numbers such that $$p \ne 0,\,{p^3} \ne q$$ and $${...
Let $${S_k}$$= 1, 2,....., 100, denote the sum of the infinite geometric series ...
Let $$A$$ and $$B$$ be two distinct points on the parabola $${y^2} = 4x$$. If th...
The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2...
The circle $${x^2} + {y^2} - 8x = 0$$ and hyperbola $${{{x^2}} \over 9} - {{{y^2...
<p>The line $$2x + y = 1$$ is tangent to the hyperbola $${{{x^2}} \over {{a^2}}}...
If the angles $$A, B$$ and $$C$$ of a triangle are in an arithmetic progression ...
Let $$ABC$$ be a triangle such that $$\angle ACB = {\pi \over 6}$$ and let $$a,...
Let $$f$$ be a real-valued differentiable function on $$R$$ (the set of all real...
The value of $$\mathop {\lim }\limits_{x \to 0} {1 \over {{x^3}}}\int\limits_0^x...
The value of $$\int\limits_0^1 {{{{x^4}{{\left( {1 - x} \right)}^4}} \over {1 + ...
Let $$f$$ be a real-valued function defined on the interval $$\left( {0,\infty }...
For any real number $$x,$$ let $$\left[ x \right]$$ denote the largest integer l...
Let $$\omega $$ be a complex cube root of unity with $$\omega \ne 1.$$ A fair d...
Let $$P,Q,R$$ and $$S$$ be the points on the plane with position vectors $${ - 2...
Equation of the plane containing the straight line $${x \over 2} = {y \over 3} =...
If $$\overrightarrow a $$ and $$\overrightarrow b $$ are vectors in space given ...
If the distance between the plane $$Ax-2y+z=d$$ and the plane containing the lin...

Physics

A student uses a simple pendulum of exactly 1m length to determine g, the accele...
<p>A block of mass m is on an inclined plane of angle θ. The coefficient of fric...
A point mass of 1 kg collides elastically with a stationary point mass of 5 kg. ...
A binary star consists of two stars A (mass 2.2M<sub>s</sub>) and B (mass 11M<su...
Gravitational acceleration on the surface of a planet is $${{\sqrt 6 } \over {11...
A 0.1 kg mass is suspended from a wire of negligible mass. The length of the wir...
A real gas behaves like an ideal gas if its
A piece of ice (heat capacity = 2100 J kg<sup>-1</sup> <sup>o</sup>C<sup>-1</sup...
Two spherical bodies A (radius 6 cm ) and B (radius 18 cm ) are at temperature T...
A few electric field lines for a system of two charges $${Q_1}$$ and $${Q_2}$$ f...
<p>Incandescent bulbs are designed by keeping in mind that the resistance of the...
<p>To verify Ohm's law, a student is provided with a test resitor R<sub>T</sub>,...
<p>An AC voltage source of variable angular frequency $$\omega$$ and fixed ampli...
<p>A thin flexible wire of length L is connected to two adjacent fixed points an...
<p>A thin uniform annular disc (see figure) of mass M has outer radius 4R and in...
<p>Consider a thin square sheet of side L and thickness, made of a material of r...
<p>One mole of an ideal gas in initial state A undergoes a cyclic process ABCA, ...
<p>A ray OP of monochromatic light is incident on the face AB of prism ABCD near...
<p>In the graph below, the resistance R of a superconductor is shown as a fricti...
<p>A superconductor has T<sub>c</sub>(0) = 100 K. When a magnetic field of 7.5 T...
<p>If the total energy of the particle is E, it will perform periodic motion onl...
<p>For periodic motion of small amplitude A, the time period T of this particle ...
<p>The acceleration of this particle for $$|x| > {X_0}$$ is</p>
<p>A stationary source is emitting sound at a fixed frequency f<sub>0</sub>, whi...
<p>The focal length of a thin biconvex lens is 20 cm. When an object is moved fr...
<p>An $$\alpha$$-particle and a proton are accelerated from the rest by a potent...
<p>When two identical batteries of internal resistance 1 $$\Omega$$ each are con...
<p>When two progressive waves $${y_1} = 4\sin (2x - 6t)$$ and $${y_2} = 3\sin \l...

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