IIT-JEE 2008 Paper 1 Offline

Paper was held on
Sun, Apr 13, 2008 3:30 AM

## Chemistry

STATEMENT - 1 : The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvatur

View Question
Hyperconjugation involves overlapping of the following orbitals:

View Question
The major product of the following reaction is:

View Question
Aqueous solutions of Na$$_2$$S$$_2$$O$$_3$$ on reaction with Cl$$_2$$ gives:

View Question
Native silver metal forms a water soluble complex with a dilute aqueous solution of NaCN in the presence of:

View Question
Under the same reaction conditions, initial concentration of 1.386 mol dm$$^{-3}$$ of a substance becomes half in 40 sec

View Question
2.5 mL of $$\frac{2}{5}$$M weak monoacidic base (K$$_b$$ = 1 $$\times$$ 10$$^{-12}$$ at 25$$^\circ$$C) is titrated with

View Question
The correct statement(s) about the compound given below is(are):

View Question
The correct statement(s) concerning the structures E, F and G is(are) :

View Question
A solution of colourless salt H on boiling with excess NaOH produces a non-flammable gas. The gas evolution ceases after

View Question
A gas described by van Der Waals equation

View Question
Statement 1 : Bromobenzene upon reaction with Br$$_2$$/Fe gives 1, 4-dibromobenzene as the major product.
and
Statement

View Question
Statement 1 : Pb$$^{4+}$$ compounds are stronger oxidising agents than Sn$$^{4+}$$ compounds.
and
Statement 2 : The high

View Question
Statement 1 : For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero.
and
Statement 2 : A

View Question
The structure of the product I is :

View Question
The structure of compounds J and K, respectively, are:

View Question
The structure of product L is :

View Question
Among the following, the correct statement is:

View Question
Among the following, the correct statement is :

View Question
White phosphorus on reaction with NaOH gives PH$$_3$$ as one of the products. This is a:

View Question
The freezing point of the solution M is :

View Question
The vapour pressure of the solution M is :

View Question
Water is added to the solution M such that the fraction of water in the solution becomes 0.9 mole. The boiling point of

View Question
## Mathematics

The number of elements in the set $$A \cap B \cap C$$ is

View Question
Let z be any point $$A \cap B \cap C$$ and let w be any point satisfying $$\left| {w - 2 - i} \right| < 3\,$$. Then,

View Question
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

View Question
A straight line through the vertex p of a triangle PQR intersects the side QR at the point S and the circumcircle of the

View Question
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

View Question
The equation of circle C is

View Question
Points E and F are given by

View Question
Equations of the sides QR, RP are

View Question
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

View Question
Let $$f$$ and $$g$$ be real valued functions defined on interval $$(-1, 1)$$ such that $$g''(x)$$ is continuous, $$g\lef

View Question
If $$0 < x < 1$$, then
$$\sqrt {1 + {x^2}} {\left[ {{{\left\{ {x\cos \left( {{{\cot }^{ - 1}}x} \right) + \sin \l

View Question
Consider the two curves $${C_1}:{y^2} = 4x,\,{C_2}:{x^2} + {y^2} - 6x + 1 = 0$$. Then,

View Question
Let $$f(x)$$ be a non-constant twice differentiable function defined on $$\left( { - \infty ,\infty } \right)$$
such th

View Question
If $$f\left( { - 10\sqrt 2 } \right) = 2\sqrt 2 ,$$ then $$f''\left( { - 10\sqrt 2 } \right) = $$

View Question
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

View Question
$$\int\limits_{ - 1}^1 {g'\left( x \right)dx = } $$

View Question
Consider the system of equations $$ax+by=0; cx+dy=0,$$
where $$a,b,c,d$$ $$ \in \left\{ {0,1} \right\}$$
STATEMENT - 1

View Question
The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors $$\overrightarrow a \,,\,

View Question
Consider three planes
$$${P_1}:x - y + z = 1$$$
$$${P_2}:x + y - z = 1$$$
$$${P_3}:x - 3y + 3z = 2$$$
Let $${L_1},$$ $$

View Question
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

View Question
Let $$g(x) = {{{{(x - 1)}^n}} \over {\log {{\cos }^m}(x - 1)}};0 0$$, and let $$p$$ be the left hand derivative of $$|x

View Question
The total number of local maxima and local minima of the function $$f(x) = \left\{ {\matrix{
{{{(2 + x)}^3},} & { - 3

View Question
Consider the system of equations:
$$x-2y+3z=-1$$
$$-x+y-2z=k$$
$$x-3y+4z=1$$
Statement - 1 : The system of equations has

View Question
## Physics

Student I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a
simple pendulum. T

View Question
Figure shows three resistor configurations R1, R2 and R3 connected to 3 V battery. If the power dissipated by the config

View Question
Which one of the following statements is WRONG in the context of X-rays generated from a X-ray tube?

View Question
Two beams of red and violet colours are made to pass separately through a prism (angle of the prism is 60$$^\circ$$). In

View Question
An ideal gas is expanding such that PT$$^2$$ = constant. The coefficient of volume expansion of the gas is

View Question
A spherically symmetric gravitational system of particles has a mass density
$$\rho = \left\{ {\matrix{
{{\rho _0}}

View Question
Two balls, having linear momenta $${\overrightarrow p _1} = p\widehat i$$ and $${\overrightarrow p _2} = - p\widehat i$

View Question
Assume that the nuclear binding energy per nucleon (B/A) versus mass number (A) is as shown in the figure. Use this plot

View Question
A particle of mass m and charge q, moving with velocity v enters Region II normal to the boundary as shown in the figure

View Question
In a Young's double slit experiment, the separation between the two slits is d and the wavelength of the light is $$\lam

View Question
STATEMENT - 1
In a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistanc

View Question
STATEMENT - 1
An astronaut in an orbiting space station above the Earth experiences weightlessness.
and
STATEMENT - 2
An

View Question
STATEMENT - 1 :
Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions

View Question
STATEMENT - 1 :
The stream of water flowing at high speed from a garden hose pipe tends to spread line a fountain when h

View Question
As the bubble moves upwards, besides the buoyancy force the following forces are acting on it

View Question
When the gas bubble is at a height y from the bottom, its temperature is :

View Question
The buoyancy force acting on the gas bubble is (Assume R is the universal gas constant)

View Question
The quantum number n of the state finally populated in He$$^+$$ ions is :

View Question
The wavelength of light emitted in the visible region by He$$^+$$ ions after collisions with H atoms is

View Question
The ratio of the kinetic energy of the $$n=2$$ electron for the H atom to that of He$$^+$$ ion is

View Question
The speed of the block at point B immediately after it strikes the second incline is

View Question
The speed of the block at point C, immediately before it leaves the second incline is

View Question
If collision between the block and the incline is completely elastic, then the vertical (upward) component of the veloci

View Question