IIT-JEE 2009 Paper 1 Offline

Paper was held on
Sun, Apr 12, 2009 3:30 AM

## Chemistry

Given that the abundances of isotopes 54Fe, 56Fe and 57Fe are 5%, 90% and 5%, respectively, the atomic mass of Fe is :

View Question
The compound(s) formed upon combustion of sodium metal in excess air is (are)

View Question
The term that corrects for the attractive forces present in a real gas in the van der Waals equation is

View Question
Among the electrolytes Na$$_2$$SO$$_4$$, CaCl$$_2$$, Al$$_2$$(SO$$_4$$)$$_3$$ and NH$$_4$$Cl, the most effective coagula

View Question
The Henry's law constant for the solubility of N$$_2$$ gas in water at 298 K is 1.0 $$\times$$ 10$$^5$$ atm. The mole fr

View Question
The reaction of P$$_4$$ with X leads selectively to P$$_4$$O$$_6$$. The X is

View Question
The correct acidity order of the following is

View Question
Among cellulose, poly(vinyl chloride), nylon and natural rubber, the polymer in which the intermolecular force of attrac

View Question
The IUPAC name of the following compound is

View Question
The correct statement(s) regarding defects in solids is (are)

View Question
The compound(s) that exhibit(s) geometrical isomerism is(are)

View Question
The correct statement(s) about the compound $$\mathrm{H_3C(HO)HC-CH=CH-CH(OH)CH_3~~(X)}$$ is (are)

View Question
The compound X is

View Question
The compound Y is

View Question
The compound Z is

View Question
The structure of the carbonyl compound P is

View Question
The structures of the products Q and R, respectively, are

View Question
The structure of the product S is

View Question
Match each of the diatomic molecules in Column I with its property/properties in Column II:
.tg {border-collapse:colla

View Question
Match each of the compounds in Column I with its characteristic reaction(s) in Column II.
.tg {border-collapse:collaps

View Question
## Mathematics

Let $$z = \,\cos \,\theta \, + i\,\sin \,\theta $$ . Then the value of $$\sum\limits_{m = 1}^{15} {{\mathop{\rm Im}\noli

View Question
Let $$z = x + iy$$ be a complex number where x and y are integers. Then the area of the rectangle whose vertices are the

View Question
If $${{{{\sin }^4}x} \over 2} + {{{{\cos }^4}x} \over 3} = {1 \over 5},$$ then

View Question
The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only, i

View Question
Tangents drawn from the point P (1, 8) to the circle
$${x^2}\, + \,{y^2}\, - \,6x\, - 4y\, - 11 = 0$$
touch the circl

View Question
The line passing through the extremity $$A$$ of the major axis and extremity $$B$$ of the minor axis of the ellipse $${x

View Question
In a triangle $$ABC$$ with fixed base $$BC$$, the vertex $$A$$ moves such that
$$$\cos \,B + \cos \,C = 4{\sin ^2}{A \o

View Question
Match the conics in Column I with the statements/expressions in Column II :
.tg {border-collapse:collapse;border-spaci

View Question
Let $$f$$ be a non-negative function defined on the interval $$[0,1]$$.
If $$\int\limits_0^x {\sqrt {1 - {{(f'(t))}^2}d

View Question
Area of the region bounded by the curve $$y = {e^x}$$ and lines $$x=0$$ and $$y=e$$ is

View Question
Match the statements/expressions in Column I with the open intervals in Column II :
.tg {border-collapse:collapse;bord

View Question
The probability that X = 3 equals

View Question
The probability that $$X\ge3$$ equals :

View Question
The conditional probability that $$X\ge6$$ given $$X>3$$ equals :

View Question
If $$\overrightarrow a ,\overrightarrow b ,\overrightarrow c $$ and $$\overrightarrow d $$ are unit vectors such that $$

View Question
Let $$P(3,2,6)$$ be a point in space and $$Q$$ be a point on the line
$$$\widehat r = \left( {\widehat i - \widehat j +

View Question
Let $$L = \mathop {\lim }\limits_{x \to 0} {{a - \sqrt {{a^2} - {x^2}} - {{{x^2}} \over 4}} \over {{x^4}}},a > 0$$. If

View Question
The number of matrices in A is

View Question
The number of matrices A in A for which the system of linear equations $$A\left[ {\matrix{
x \cr
y \cr
z \

View Question
The number of matrices A in A for which the system of linear equations $$A\left[ {\matrix{
x \cr
y \cr
z \

View Question
## Physics

A block of base 10 cm × 10 cm and height 15 cm is kept on an inclined plane. The coefficient of friction
between them is

View Question
Look at the drawing given in the figure below which has been drawn with ink of uniform line-thickness. The mass of ink u

View Question
The figure shows certain wire segments joined together to form a coplanar loop. The loop is placed in a perpendicular ma

View Question
Two small particles of equal masses start moving in opposite directions from a point A in a horizontal circular orbit. T

View Question
A disk of radius $${a \over 4}$$ having a uniformly distributed charge 6C is placed in the xy-plane with its centre at (

View Question
Three concentric metallic spherical shells of radii $$R,2R,3R$$ are given charges $$Q_1,Q_2,Q_3$$, respectively. It is f

View Question
The $$x$$-$$t$$ graph of a particle undergoing simple harmonic motion is shown in the figure. The acceleration of the pa

View Question
A ball is dropped from a height of 20 m above the surface of water in a lake. The refractive index of water is 4/3. A fi

View Question
For the circuit shown in the figure

View Question
$$C_V$$ and $$C_P$$ denote the molar specific heat capacities of a gas at constant volume and constant pressure, respect

View Question
A student performed the experiment of determination of focal length of a concave mirror by $$u$$-$$v$$ method using an o

View Question
If the resultant of all the external forces acting on a system of particles is zero, then from an inertial frame, one ca

View Question
The allowed energy for the particle for a particular value of $$n$$ is proportional to

View Question
If the mass of the particle is $$m=1.0\times10^{-30}$$ kg and $$a=6.6$$ nm, the energy of the particle in its ground sta

View Question
The speed of the particle, that can take discrete values, is proportional to

View Question
In the core of nuclear fusion reactor, the gas becomes plasma because of

View Question
Assume that two deuteron nuclei in the core of fusion reactor at temperature T are moving towards each other, each with

View Question
Results of calculations for four different designs of a fusion reactor using D-D reaction are given below. Which of thes

View Question
Column II shows five systems in which two objects are labelled as X and Y. Also in each case a point P is shown. Column

View Question
Six point charges, each of the same magnitude q, are arranged in different manners as shown in Column II. In each case,

View Question