JEE Main 2014 (Offline)

Paper was held on
Sat, Apr 6, 2013 9:30 AM

## Chemistry

The correct set of four quantum numbers for the valence elections of rubidium atom (Z= 37) is:

View Question The ratio of masses of oxygen and nitrogen in a particular gaseous mixture is 1 : 4. The ratio of number of
their molecu

View Question For complete combustion of ethanol, C2H5OH(l) + 3O2(g) $$\to$$ 2CO2(g) + 3H2O(l) the amount of heat
produced as measure

View Question For the reaction SO2 (g) + $${1 \over 2} O_2(g) \leftrightharpoons$$ SO3(g).
if KP = KC(RT)x where the symbols have us

View Question In which of the following reactions H2O2 acts as a reducing agent?
1. H2O2 + 2H+ + 2e- $$\to$$ 2H2O
2. H2O2 - 2e- $$\to$

View Question For the estimation of nitrogen, 1.4 g of organic compound was digested by Kjeldahl method and the
evolved ammonia was ab

View Question Consider separate solutions of 0.500 M C2H5OH(aq), 0.100 M Mg3(PO4)2(aq), 0.250 M KBr(aq) and 0.125
M Na3PO4(aq) at 25oC

View Question Resistance of 0.2 M solution of an electrolyte is 50 $$\Omega$$. The specific conductance of the solution is 1.4 S m-1.

View Question Given below are the half-cell reactions:
Mn2+ + 2e- $$\to$$ Mn; Eo = -1.18 V
2(Mn3+ + e- $$\to$$ Mn2+); Eo = +1.51 V
The

View Question The equivalent conductance of NaCl at concentration C and at infinite dilution are $${\lambda _C}$$ and $${\lambda _\in

View Question For the non – stoichiometre reaction 2A + B $$\to$$ C + D, the following kinetic data were obtained in three
separate ex

View Question Which one of the following properties is not shown by NO?

View Question The correct statement for the molecule, CsI3 is :

View Question Which series of reactions correctly represents chemical relations related to iron and its compound?

View Question The octahedral complex of a metal ion M3+ with four monodentate ligands L1, L2, L3 and L4 absorb wavelengths in the regi

View Question The equation which is balanced and represents the correct product(s) is :

View Question In SN2 reactions, the correct order of reactivity for the following compounds:
CH3Cl, CH3CH
2Cl, (CH3)2CHCl and (CH3)3CC

View Question The major organic compound formed by the reaction of 1, 1, 1– trichloroethane with silver powder is:

View Question In the reaction,
the product C is:

View Question The most suitable reagent for the conversion of R - CH2 - OH $$\to$$ R - CHO is:

View Question On heating an aliphatic primary amine with chloroform and ethanolic potassium hydroxide, the organic
compound formed is:

View Question Considering the basic strength of amines in aqueous solution, which one has the smallest pKb value?

View Question Which one of the following bases is not present in DNA?

View Question Sodium phenoxide when heated with $$C{O_2}$$ under pressure at $${125^ \circ }C$$ yields a product which on acetylation

View Question ## Mathematics

Let $$f_k\left( x \right) = {1 \over k}\left( {{{\sin }^k}x + {{\cos }^k}x} \right)$$ where $$x \in R$$ and $$k \ge \,1.

View Question If z is a complex number such that $$\,\left| z \right| \ge 2\,$$, then the minimum value of $$\,\,\left| {z + {1 \over

View Question If $$a \in R$$ and the equation $$ - 3{\left( {x - \left[ x \right]} \right)^2} + 2\left( {x - \left[ x \right]} \right)

View Question Let $$\alpha $$ and $$\beta $$ be the roots of equation $$p{x^2} + qx + r = 0,$$ $$p \ne 0.$$ If $$p,\,q,\,r$$ in A.P. a

View Question Three positive numbers form an increasing G.P. If the middle term in this G.P. is doubled, the new numbers are in A.P. t

View Question Let $$PS$$ be the median of the triangle with vertices $$P(2, 2)$$, $$Q(6, -1)$$ and $$R(7, 3)$$. The equation of the li

View Question Let $$a, b, c$$ and $$d$$ be non-zero numbers. If the point of intersection of the lines $$4ax + 2ay + c = 0$$ and $$5bx

View Question The locus of the foot of perpendicular drawn from the centre of the ellipse $${x^2} + 3{y^2} = 6$$ on any tangent to it

View Question If $$x=-1$$ and $$x=2$$ are extreme points of $$f\left( x \right) = \alpha \,\log \left| x \right|+\beta {x^2} + x$$ the

View Question If $$g$$ is the inverse of a function $$f$$ and $$f'\left( x \right) = {1 \over {1 + {x^5}}},$$ then $$g'\left( x \right

View Question If $$\alpha ,\beta \ne 0,$$ and $$f\left( n \right) = {\alpha ^n} + {\beta ^n}$$ and
$$$\left| {\matrix{
3 & {1

View Question If $$A$$ is a $$3 \times 3$$ non-singular matrix such that $$AA'=A'A$$ and
$$B = {A^{ - 1}}A',$$ then $$BB'$$ equals:

View Question The integral $$\int {\left( {1 + x - {1 \over x}} \right){e^{x + {1 \over x}}}dx} $$ is equal to

View Question The area of the region described by
$$A = \left\{ {\left( {x,y} \right):{x^2} + {y^2} \le 1} \right.$$ and $$\left. {{y

View Question The integral $$\int\limits_0^\pi {\sqrt {1 + 4{{\sin }^2}{x \over 2} - 4\sin {x \over 2}{\mkern 1mu} } } dx$$ equals:

View Question Let the population of rabbits surviving at time $$t$$ be governed by the differential equation $${{dp\left( t \right)}

View Question Let $$A$$ and $$B$$ be two events such that $$P\left( {\overline {A \cup B} } \right) = {1 \over 6},\,P\left( { {A \cap

View Question The angle between the lines whose direction cosines satisfy the equations $$l+m+n=0$$ and $${l^2} = {m^2} + {n^2}$$ is :

View Question $$\mathop {\lim }\limits_{x \to 0} {{\sin \left( {\pi {{\cos }^2}x} \right)} \over {{x^2}}}$$ is equal to :

View Question The variance of first 50 even natural numbers is

View Question ## Physics

A student measured the length of a rod and wrote it as 3.50 cm. Which instrument did he use to measure it?

View Question From a tower of height H, a particle is thrown vertically upwards with a speed u. The time taken by the
particle, to hit

View Question A block of mass $$m$$ is placed on a surface with a vertical cross section given by $$y = {{{x^3}} \over 6}.$$ If the co

View Question When a rubber-band is stretched by a distance $$x$$, it exerts restoring force of magnitude $$F = ax + b{x^2}$$ where $$

View Question A bob of mass $$m$$ attached to an inextensible string of length $$l$$ is suspended from a vertical support. The bob rot

View Question Four particles, each of mass $$M$$ and equidistant from each other, move along a circle of radius $$R$$ under the action

View Question An open glass tube is immersed in mercury in such a way that a length of $$8$$ $$cm$$ extends above the mercury level. T

View Question A mass $$'m'$$ is supported by a massless string wound around a uniform hollow cylinder of mass $$m$$ and radius $$R.$$

View Question The pressure that has to be applied to the ends of a steel wire of length $$10$$ $$cm$$ to keep its length constant when

View Question Three rods of Copper, Brass and Steel are welded together to form a $$Y$$ shaped structure. Area of cross - section of e

View Question On heating water, bubbles being formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of ra

View Question One mole of a diatomic ideal gas undergoes a cyclic process $$ABC$$ as shown in figure. The process $$BC$$ is adiabatic.

View Question There is a circular tube in a vertical plane. Two liquids which do not mix and of densities $${d_1}$$ and $${d_2}$$ are

View Question A particle moves with simple harmonic motion in a straight line. In first $$\tau s,$$ after starting from rest it travel

View Question A pipe of length $$85$$ $$cm$$ is closed from one end. Find the number of possible natural oscillations of air column in

View Question Assume that an electric field $$\overrightarrow E = 30{x^2}\widehat i$$ exists in space. Then the potential difference

View Question A parallel plate capacitor is made of two circular plates separated by a distance $$5$$ $$mm$$ and with a dielectric of

View Question In a large building, three are $$15$$ bulbs of $$40$$ $$W$$, $$5$$ bulbs of $$100$$ $$W$$, $$5$$ fans of $$80$$ $$W$$ an

View Question The coercivity of a small magnet where the ferromagnet gets demagnetized is $$3 \times {10^3}\,A{m^{ - 1}}.$$ The curren

View Question A conductor lies along the $$z$$-axis at $$ - 1.5 \le z < 1.5\,m$$ and carries a fixed current of $$10.0$$ $$A$$ in $

View Question A thin convex lens made from crown glass $$\left( {\mu = {3 \over 2}} \right)$$ has focal length $$f$$. When it is meas

View Question Two beams, $$A$$ and $$B$$, of plane polarized light with mutually perpendicular planes of polarization are seen through

View Question A green light is incident from the water to the air - water interface at the critical angle $$\left( \theta \right)$$.

View Question In the circuit shown here, the point $$'C'$$ is kept connected to point $$'A'$$ till the current flowing through the ci

View Question The current voltage relation of diode is given by $${\rm I} = \left( {{e^{100V/T}} - 1} \right)mA,$$ where the applied v

View Question During the propagation of electromagnetic waves in a medium :

View Question The radiation corresponding to $$3 \to 2$$ transition of hydrogen atom falls on a metal surface to produce photoelectron

View Question Hydrogen $$\left( {{}_1{H^1}} \right)$$, Deuterium $$\left( {{}_1{H^2}} \right)$$, singly ionised Helium $${\left( {{}_2

View Question Match List - $$1$$ (Electromagnetic wave type ) with List - $$2$$ (Its association/application) and select the correct

View Question The forward biased diode connection is:

View Question