IIT-JEE 2008 Paper 1 Offline
Paper was held on Sun, Apr 13, 2008 3:30 AM
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Chemistry

STATEMENT - 1 : The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvatur
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Hyperconjugation involves overlapping of the following orbitals:
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The major product of the following reaction is:
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Aqueous solutions of Na$$_2$$S$$_2$$O$$_3$$ on reaction with Cl$$_2$$ gives:
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Native silver metal forms a water soluble complex with a dilute aqueous solution of NaCN in the presence of:
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Under the same reaction conditions, initial concentration of 1.386 mol dm$$^{-3}$$ of a substance becomes half in 40 sec
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2.5 mL of $$\frac{2}{5}$$M weak monoacidic base (K$$_b$$ = 1 $$\times$$ 10$$^{-12}$$ at 25$$^\circ$$C) is titrated with
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The correct statement(s) about the compound given below is(are):
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The correct statement(s) concerning the structures E, F and G is(are) :
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A solution of colourless salt H on boiling with excess NaOH produces a non-flammable gas. The gas evolution ceases after
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A gas described by van Der Waals equation
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Statement 1 : Bromobenzene upon reaction with Br$$_2$$/Fe gives 1, 4-dibromobenzene as the major product. and Statement
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Statement 1 : Pb$$^{4+}$$ compounds are stronger oxidising agents than Sn$$^{4+}$$ compounds. and Statement 2 : The high
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Statement 1 : For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero. and Statement 2 : A
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The structure of the product I is :
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The structure of compounds J and K, respectively, are:
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The structure of product L is :
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Among the following, the correct statement is:
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Among the following, the correct statement is :
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White phosphorus on reaction with NaOH gives PH$$_3$$ as one of the products. This is a:
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The freezing point of the solution M is :
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The vapour pressure of the solution M is :
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Water is added to the solution M such that the fraction of water in the solution becomes 0.9 mole. The boiling point of
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Mathematics

The number of elements in the set $$A \cap B \cap C$$ is
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Let z be any point $$A \cap B \cap C$$ and let w be any point satisfying $$\left| {w - 2 - i} \right| < 3\,$$. Then,
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Let z be any point in $$A \cap B \cap C$$ Then, $${\left| {z + 1 - i} \right|^2} + {\left| {z - 5 - i} \right|^2}$$ li
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A straight line through the vertex p of a triangle PQR intersects the side QR at the point S and the circumcircle of the
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Let $${S_n} = \sum\limits_{k = 1}^n {{n \over {{n^2} + kn + {k^2}}}} $$ and $${T_n} = \sum\limits_{k = 0}^{n - 1} {{n \o
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The equation of circle C is
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Points E and F are given by
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Equations of the sides QR, RP are
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Let $$P\left( {{x_1},{y_1}} \right)$$ and $$Q\left( {{x_2},{y_2}} \right),{y_1} < 0,{y_2} < 0,$$ be the end points
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Let $$f$$ and $$g$$ be real valued functions defined on interval $$(-1, 1)$$ such that $$g''(x)$$ is continuous, $$g\lef
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If $$0 < x < 1$$, then $$\sqrt {1 + {x^2}} {\left[ {{{\left\{ {x\cos \left( {{{\cot }^{ - 1}}x} \right) + \sin \l
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Consider the two curves $${C_1}:{y^2} = 4x,\,{C_2}:{x^2} + {y^2} - 6x + 1 = 0$$. Then,
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Let $$f(x)$$ be a non-constant twice differentiable function defined on $$\left( { - \infty ,\infty } \right)$$ such th
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If $$f\left( { - 10\sqrt 2 } \right) = 2\sqrt 2 ,$$ then $$f''\left( { - 10\sqrt 2 } \right) = $$
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The area of the region bounded by the curve $$y=f(x),$$ the $$x$$-axis, and the lines $$x=a$$ and $$x=b$$, where $$ - \i
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$$\int\limits_{ - 1}^1 {g'\left( x \right)dx = } $$
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Consider the system of equations $$ax+by=0; cx+dy=0,$$ where $$a,b,c,d$$ $$ \in \left\{ {0,1} \right\}$$ STATEMENT - 1
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The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors $$\overrightarrow a \,,\,
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Consider three planes $$${P_1}:x - y + z = 1$$$ $$${P_2}:x + y - z = 1$$$ $$${P_3}:x - 3y + 3z = 2$$$ Let $${L_1},$$ $$
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Let a and b be non-zero real numbers. Then, the equation $$(a{x^2} + b{y^2} + c)({x^2} - 5xy + 6{y^2}) = 0$$ represents
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Let $$g(x) = {{{{(x - 1)}^n}} \over {\log {{\cos }^m}(x - 1)}};0 0$$, and let $$p$$ be the left hand derivative of $$|x
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The total number of local maxima and local minima of the function $$f(x) = \left\{ {\matrix{ {{{(2 + x)}^3},} & { - 3
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Consider the system of equations: $$x-2y+3z=-1$$ $$-x+y-2z=k$$ $$x-3y+4z=1$$ Statement - 1 : The system of equations has
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Physics

Student I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum. T
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Figure shows three resistor configurations R1, R2 and R3 connected to 3 V battery. If the power dissipated by the config
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Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?
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Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60$$^\circ$$). In
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An ideal gas is expanding such that PT$$^2$$ = constant. The coefficient of volume expansion of the gas is
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A spherically symmetric gravitational system of particles has a mass density $$\rho = \left\{ {\matrix{ {{\rho _0}}
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Two balls, having linear momenta $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow p _2} = - p\widehat i$
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Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot
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A particle of mass m and charge q, moving with velocity v enters Region II normal to the boundary as shown in the figure
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In a Young's double slit experiment, the separation between the two slits is d and the wavelength of the light is $$\lam
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STATEMENT - 1 In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistanc
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STATEMENT - 1 An astronaut in an orbiting space station above the Earth experiences weightlessness. and STATEMENT - 2 An
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STATEMENT - 1 : Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions
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STATEMENT - 1 : The stream of water flowing at high speed from a garden hose pipe tends to spread line a fountain when h
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As the bubble moves upwards, besides the buoyancy force the following forces are acting on it
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When the gas bubble is at a height y from the bottom, its temperature is :
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The buoyancy force acting on the gas bubble is (Assume R is the universal gas constant)
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The quantum number n of the state finally populated in He$$^+$$ ions is :
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The wavelength of light emitted in the visible region by He$$^+$$ ions after collisions with H atoms is
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The ratio of the kinetic energy of the $$n=2$$ electron for the H atom to that of He$$^+$$ ion is
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The speed of the block at point B immediately after it strikes the second incline is
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The speed of the block at point C, immediately before it leaves the second incline is
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If collision between the block and the incline is completely elastic, then the vertical (upward) component of the veloci
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