JEE Main 2014 (Offline)

The most suitable reagent for the conversion of R - CH2 - OH \(\to\) R - CHO is:

In the reaction,

the product C is:

Sodium phenoxide when heated with \(C{O_2}\) under pressure at \({125^ \circ }C\) yields a product which on acetylation products \(C.\)

The major product \(C\) would be

For the estimation of nitrogen, 1.4 g of organic compound was digested by Kjeldahl method and the
evolved ammonia was absorbed in 60 mL of M/10 sulphuric acid. The unreacted acid required 20 ml of M/10
sodium hydroxide for complete neutrali...

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

For the reaction SO2 (g) + \({1 \over 2} O_2(g) \leftrightharpoons\) SO3(g).
if KP = KC(RT)x where the symbols have usual meaning then
the value of x is: (assuming ideality)

For the non – stoichiometre reaction 2A + B \(\to\) C + D, the following kinetic data were obtained in three
separate experiments, all at 298 K.


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

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

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

The octahedral complex of a metal ion M3+ with four monodentate ligands L1, L2, L3 and L4 absorb wavelengths in the region of red, green, yellow and blue, respectively. The increasing order of ligand strength of the four ligands is :

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

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 Eo for 3Mn2+ \(\to\) Mn + 2Mn3+ will be :

The equivalent conductance of NaCl at concentration C and at infinite dilution are \({\lambda _C}\) and \({\lambda _\infty }\), respectively. The correct relationship between \({\lambda _C}\) and \({\lambda _\infty }\) is given as:
(where...

Resistance of 0.2 M solution of an electrolyte is 50 \(\Omega\). The specific conductance of the solution is 1.4 S m-1. The resistance of 0.5 M solution of the same electrolyte is 280 \(\Omega\). The molar conductivity of 0.5 M solution of ...

If Z is a compressibility factor, van der Waals equation at low pressure can be written as:

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

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

Among the following oxoacids, the correct decreasing order of acid strength is :

The correct statement for the molecule, CsI3 is :

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

Which one is classified as a condensation polymer?

In which of the following reactions H2O2 acts as a reducing agent?
1. H2O2 + 2H+ + 2e- \(\to\) 2H2O
2. H2O2 - 2e- \(\to\) O2 + 2H+
3. H2O2 + 2e- \(\to\) 2OH-
4. H2O2 + 2OH- - 2e- \(\to\) O2 + 2H2O

The metal that cannot be obtained by electrolysis of an aqueous solution of its salts is :

CsCl crystallises in body centred cubic lattice. If ‘a’ is its edge length then which of the following
expressions is correct?

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. Which statement is true about these solutions, assuming all salts to be strong electrolytes?

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

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

For complete combustion of ethanol, C2H5OH(l) + 3O2(g) \(\to\) 2CO2(g) + 3H2O(l) the amount of heat
produced as measured in bomb calorimeter, is 1364.47 kJ mol–1 at 25oC. Assuming ideality the Enthalpy of combustion, \(\Delta _CH\), for th...

The image of the line \({{x - 1} \over 3} = {{y - 3} \over 1} = {{z - 4} \over { - 5}}\,\) in the plane \(2x-y+z+3=0\) is the line :

The angle between the lines whose direction cosines satisfy the equations \(l+m+n=0\) and \({l^2} = {m^2} + {n^2}\) is :

If \(f\) and \(g\) are differentiable functions in \(\left[ {0,1} \right]\) satisfying
\(f\left( 0 \right) = 2 = g\left( 1 \right),g\left( 0 \right) = 0\) and \(f\left( 1 \right) = 6,\) then for some \(c \in \left] {0,1} \right[\)

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

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

If the coefficints of \({x^3}\) and \({x^4}\) in the expansion of \(\left( {1 + ax + b{x^2}} \right){\left( {1 - 2x} \right)^{18}}\) in powers of \(x\) are both zero, then \(\left( {a,\,b} \right)\) is equal to:

Let \(C\) be the circle with centre at \((1, 1)\) and radius \(=\) \(1\). If \(T\) is the circle centred at \((0, y)\), passing through origin and touching the circle \(C\) externally, then the radius of \(T\) is equal to :

If z is a complex number such that \(\,\left| z \right| \ge 2\,\), then the minimum value of \(\,\,\left| {z + {1 \over 2}} \right|\) :

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

Let the population of rabbits surviving at time \(t\) be governed by the differential equation \({{dp\left( t \right)} \over {dt}} = {1 \over 2}p\left( t \right) - 200.\) If \(p(0)=100,\) then \(p(t)\) equals:

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

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 is :

A bird is sitting on the top of a vertical pole \(20\) m high and its elevation from a point \(O\) on the ground is \({45^ \circ }\). It files off horizontally straight away from the point \(O\). After one second, the elevation of the bird ...

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

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

The statement \(\sim \left( {p \leftrightarrow \sim q} \right)\) is :

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

If \(\alpha ,\beta \ne 0,\) and \(f\left( n \right) = {\alpha ^n} + {\beta ^n}\) and
$$$\left| {\matrix{
3 & {1 + f\left( 1 \right)} & {1 + f\left( 2 \right)} \cr
{1 + f\left( 1 \right)} & {1 + f\left( 2 \right)} & {1 + f\left( 3 ...

The slope of the line touching both the parabolas \({y^2} = 4x\) and \({x^2} = - 32y\) is

Let \(A\) and \(B\) be two events such that \(P\left( {\overline {A \cup B} } \right) = {1 \over 6},\,P\left( { {A \cap B} } \right) = {1 \over 4}\) and \(P\left( {\overline A } \right) = {1 \over 4},\) where \(\overline A\) stands for the...

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. and \({1 \over \alpha } + {1 \over \beta } = 4,\) then the value of \(\left| {\alpha - \beta } \right|\) is :