JEE Main 2015 (Offline)

In the following sequence of reactions:

The product C is

Which compound would give \(5\) - keto - \(2\) - methylhexanal upon ozonolysis?

In Carius method of estimation of halogens, 250 mg of an organic compound gave 141 mg of AgBr. The
percentage of bromine in the compound is: (at. Mass Ag = 108; Br = 80)

Which of the following compounds will exhibit geometrical isomerism?

Which of the vitamins given below is water soluble?

The intermolecular interaction that is dependent on the inverse cube of distance between the molecule is:

The standard Gibbs energy change at 300 K for the reaction 2A \(\leftrightharpoons\) B + C is 2494.2 J. At a given time,
the composition of the reaction mixture is [A] = 1/2, [B] = 2 and [C] = 1/2. The reaction proceeds in the: [R = 8.314 J...

Higher order (>3) reactions are rare due to

Which of the following compounds is not an antacid?

In the reaction

The product \(E\) is :

The number of geometric isomers that can exist for square planar [Pt (Cl) (py) (NH3) (NH2OH)]+ is (py = pyridine) :

Which of the following compounds is not colored yellow?

The colour of KMnO4 is due to :

Match the catalysts to the correct processes :

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Two Faraday of electricity is passed through a solution of CuSO4. The mass of copper deposited at the
cathode is: (at. mass of Cu = 63.5 amu)

The synthesis of alkyl fluorides is best accomplished by:

From the following statements regarding H2O2, choose the incorrect statement :

In the context of the Hall-Heroult process for the extraction of Al, which of the following statements is
false?

Assertion : Nitrogen and Oxygen are the main components in the atmosphere but these do not react to
form oxides of nitrogen.
Reason : The reaction between nitrogen and oxygen requires high temperature.

Which one has the highest boiling point?

Which among the following is the most reactive?

The ionic radii (in Å) of N3–, O2– and F– are respectively:

Which polymer is used in the manufacture of paints and lacquers?

Which one of the following alkaline earth metal sulphates has its hydration enthalpy greater than its lattice
enthalpy?

Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 Å . The radius of
sodium atom is approximately :

The vapour pressure of acetone at 20oC is 185 torr. When 1.2 g of a non-volatile substance was dissolved in
100 g of acetone at 20oC, its vapour pressure was 183 torr. The molar mass (g mol-1) of the substance is:

The molecular formula of a commercial resin used for exchanging ions in water softening is
C8H7SO3Na (Mol. Wt. 206). What would be the maximum uptake of Ca2+ ions by the resin when expressed in mole per gram resin?

Which of the following is the energy of a possible excited state of hydrogen?

3 g of activated charcoal was added to 50 mL of acetic acid solution (0.06N) in a flask. After an hour it was
filtered and the strength of the filtrate was found to be 0.042 N. The amount of acetic acid adsorbed (per
gram of charcoal) is:

The following reaction is performed at 298 K
2NO(g) + O2 (g) \(\leftrightharpoons\) 2NO2 (g)
The standard free energy of formation of NO(g) is 86.6 kJ/mol at 298 K. What is the standard free energy
of formation of NO2(g) at 298 K? (KP = 1...

The distance of the point \((1, 0, 2)\) from the point of intersection of the line \({{x - 2} \over 3} = {{y + 1} \over 4} = {{z - 2} \over {12}}\) and the plane \(x - y + z = 16,\) is :

The equation of the plane containing the line \(2x-5y+z=3; x+y+4z=5,\) and parallel to the plane, \(x+3y+6z=1,\) is :

Let \(f(x)\) be a polynomial of degree four having extreme values
at \(x=1\) and \(x=2\). If \(\mathop {\lim }\limits_{x \to 0} \left[ {1 + {{f\left( x \right)} \over {{x^2}}}} \right] = 3\), then f\((2)\) is equal to :

The normal to the curve, \({x^2} + 2xy - 3{y^2} = 0\), at \((1,1)\)

The area (in sq. units) of the region described by
\(\left\{ {\left( {x,y} \right):{y^2} \le 2x} \right.\) and \(\left. {y \ge 4x - 1} \right\}\) is :

The sum of coefficients of integral power of \(x\) in the binomial expansion \({\left( {1 - 2\sqrt x } \right)^{50}}\) is :

The number of common tangents to the circles \({x^2} + {y^2} - 4x - 6x - 12 = 0\) and \({x^2} + {y^2} + 6x + 18y + 26 = 0,\) is :

Locus of the image of the point \((2, 3)\) in the line \(\left( {2x - 3y + 4} \right) + k\left( {x - 2y + 3} \right) = 0,\,k \in R,\) is a :

A complex number z is said to be unimodular if \(\,\left| z \right| = 1\). Suppose \({z_1}\) and \({z_2}\) are complex numbers such that \({{{z_1} - 2{z_2}} \over {2 - {z_1}\overline {{z_2}} }}\) is unimodular and \({z_2}\) is not unimodula...

The integral
\(\int\limits_2^4 {{{\log \,{x^2}} \over {\log {x^2} + \log \left( {36 - 12x + {x^2}} \right)}}dx}\) is equal to :

Let \(y(x)\) be the solution of the differential equation
\(\left( {x\,\log x} \right){{dy} \over {dx}} + y = 2x\,\log x,\left( {x \ge 1} \right).\) Then \(y(e)\) is equal to :

The area (in sq. units) of the quadrilateral formed by the tangents at the end points of the latera recta to the ellipse \({{{x^2}} \over 9} + {{{y^2}} \over 5} = 1\), is :

If the angles of elevation of the top of a tower from three collinear points \(A, B\) and \(C,\) on a line leading to the foot of the tower, are \({30^ \circ }\), \({45^ \circ }\) and \({60^ \circ }\) respectively, then the ratio, $$AB:BC,$...

The integral \(\int {{{dx} \over {{x^2}{{\left( {{x^4} + 1} \right)}^{3/4}}}}}\) equals :

Let \({\tan ^{ - 1}}y = {\tan ^{ - 1}}x + {\tan ^{ - 1}}\left( {{{2x} \over {1 - {x^2}}}} \right),\)
where \(\left| x \right| < {1 \over {\sqrt 3 }}.\) Then a value of \(y\) is :

\(\mathop {\lim }\limits_{x \to 0} {{\left( {1 - \cos 2x} \right)\left( {3 + \cos x} \right)} \over {x\tan 4x}}\) is equal to

If the function.
\(g\left( x \right) = \left\{ {\matrix{ {k\sqrt {x + 1} ,} & {0 \le x \le 3} \cr {m\,x + 2,} & {3 < x \le 5} \cr } } \right.\)
is differentiable, then the value of \(k+m\) is :

The negation of \(\sim s \vee \left( { \sim r \wedge s} \right)\) is equivalent to :

If \(A = \left[ {\matrix{ 1 & 2 & 2 \cr 2 & 1 & { - 2} \cr a & 2 & b \cr } } \right]\) is a matrix satisfying the equation
\(A{A^T} = 9\text{I},\) where \(I\) is \(3 \times 3\) identity matrix, then the ordered
pair $$(a,...

The set of all values of \(\lambda\) for which the system of linear equations:
$$\matrix{
{2{x_1} - 2{x_2} + {x_3} = \lambda {x_1}} \cr
{2{x_1} - 3{x_2} + 2{x_3} = \lambda {x_2}} \cr
{ - {x_1} + 2{x_2} = \lambda {x_3}} \cr

...