JEE Main 2016 (Online) 9th April Morning Slot

Bouveault-Blanc reduction reaction involves :

The gas evolved on heating CH3MgBr in methanol is :

The hydrocarbon with seven carbon atoms containing a neopentyl and a vinyl group
is :

Consider the following sequence for aspartic acid :
The pI (isoelectric point) of aspartic acid is :

The group of molecules having identical shape is :

The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur
by a two step process shown below :
O3(g) + Cl\({^ \bullet }\) (g) \(\to\) O2(g) + ClO\({^ \bullet }\) (g) . . . . . .(i)
ki = 5.2 × 109 L mol−1 s−1
ClO$...

The artificial sweetener that has the highest sweetness value in comparison to cane
sugar is :

The test to distinguish primary, secondary and tertiary amines is :

Which one of the following complexes will consume more equivalents of aqueous
solution of Ag(NO3)?

Identify the correct trend given below : (Atomic No.=Ti : 22, Cr : 24 and Mo : 42)

Which one of the following species is stable in aqueous solution?

What will occur if a block of copper metal is dropped into a beaker containing a
solution of 1M ZnSO4?

BOD stands for :

At very high pressures, the compressibility factor of one mole of a gas is given by :

5 L of an alkane requires 25 L of oxygen for its complete combustion. If all volumes are measured at constant temperature and pressure, the alkane is :

Identify the incorrect statement regarding heavy water :

Match the items in Column I with its main use listed in Column II :

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Which intermolecular force is most responsible in allowing xenon gas to liquefy?

The non-metal that does not exhibit positive oxidation state is :

Assertion :
Rayon is a semisynthetic polymer whose properties are better than natural cotton.
Reason :
Mechanical and aesthetic properties of cellulose can be improved by acetylation.

The correct order of the solubility of alkaline-earth metal sulphates in water is :

The solubility of N2 in water at 300 K and 500 torr partial pressure is 0.01 g L−1. The solubility (in g L−1) at 750 torr partial pressure is :

An organic compound contains C, H and S. The minimum molecular weight of the
compound containing 8% sulphur is :
(atomic weight of S = 32 amu)

The amount of arsenic pentasulphide that can be obtained when 35.5 g arsenic acid istreated with excess H2S in the presence of conc. HCl ( assuming 100% conversion) is :

The total number of orbitals associated with the principal quantum number 5 is :

The most appropriate method of making egg-albumin sol is :

A particular adsorption process has the following characteristics : (i) It arises due
to van der Waals forces and (ii) it is reversible. Identify the correct statement that describes the above adsorption process :

A reaction at 1 bar is non-spontaneous at low temperature but becomes spontaneous
at high temperature. Identify the correct statement about the reaction among the
following :

For the reaction,
A(g) + B(g) \(\to\) C(g) + D(g), \(\Delta\)Ho and \(\Delta\)So are, respectively, − 29.8 kJ mol−1 and −0.100 kJ K−1 mol−1 at 298 K. The equilibrium constant for the reaction at 298 K is :

The plot shows the variation of −\(ln\) Kp versus temperature for the two reactions.
M(s) + \({1 \over 2}\) O2(g) \(\to\) MO(s) and
C(s) + \({1 \over 2}\) O2(g) \(\to\) CO(s)
Identify the correct statement :

The distance of the point (1, − 2, 4) from the plane passing through the point
(1, 2, 2) and perpendicular to the planes x − y + 2z = 3 and 2x − 2y + z + 12 = 0, is :

The shortest distance between the lines \({x \over 2} = {y \over 2} = {z \over 1}\) and
\({{x + 2} \over { - 1}} = {{y - 4} \over 8} = {{z - 5} \over 4}\) lies in the interval :

The minimum distance of a point on the curve y = x2−4 from the origin is :

If the tangent at a point P, with parameter t, on the curve x = 4t2 + 3, y = 8t3−1, t \(\in\) R, meets the curve again at a point Q, then the coordinates of Q are :

The area (in sq. units) of the region described by
A= {(x, y) \(\left| {} \right.\)y\(\ge\) x2 \(-\) 5x + 4, x + y \(\ge\) 1, y \(\le\) 0} is :

For x \(\in\) R, x \(\ne\) -1,
if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + . . . . + x2016 =
\(\sum\limits_{i = 0}^{2016} {{a_i}} \,{x^i},\,\,\) then a17 is equal to :

A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle?

The point represented by 2 + i in the Argand plane moves 1 unit eastwards, then 2 units northwards and finally from there \(2\sqrt 2\) units in the south-westwardsdirection. Then its new position in the Argand plane is at the point represe...

If   \(2\int\limits_0^1 {{{\tan }^{ - 1}}xdx = \int\limits_0^1 {{{\cot }^{ - 1}}} } \left( {1 - x + {x^2}} \right)dx,\)
then \(\int\limits_0^1 {{{\tan }^{ - 1}}} \left( {1 - x + {x^2}} \right)dx\) is equalto :

If   f(x) is a differentiable function in the interval (0, \(\infty\)) such that f (1) = 1 and
\(\mathop {\lim }\limits_{t \to x}\)   \({{{t^2}f\left( x \right) - {x^2}f\left( t \right)} \over {t - x}} = 1,\) for each x > 0, then $$f\l...

If the tangent at a point on the ellipse \({{{x^2}} \over {27}} + {{{y^2}} \over 3} = 1\) meets the coordinate axes at A and B, and O is the origin, then the
minimum area (in sq. units) of the triangle OAB is :

For x \(\in\) R, x \(\ne\) 0, Let f0(x) = \({1 \over {1 - x}}\) and
fn+1 (x) = f0(fn(x)), n = 0, 1, 2, . . . .
Then the value of f100(3) + f1\(\left( {{2 \over 3}} \right)\) + f2\(\left( {{3 \over 2}} \right)\) is equal to :

Let a and b respectively be the semitransverse and semi-conjugate axes of a
hyperbola whose eccentricity satisfies the equation 9e2 − 18e + 5 = 0. If S(5, 0) is a focus and 5x = 9 is the corresponding directrix of this hyperbola, then a2 − ...

If   \(\int {{{dx} \over {{{\cos }^3}x\sqrt {2\sin 2x} }}} = {\left( {\tan x} \right)^A} + C{\left( {\tan x} \right)^B} + k,\)
where k is a constant of integration, then A + B +C equals :

If the function
f(x) = \(\left\{ {\matrix{ { - x} & {x < 1} \cr {a + {{\cos }^{ - 1}}\left( {x + b} \right),} & {1 \le x \le 2} \cr } } \right.\)
is differentiable at x = 1, then \({a \over b}\) is equal to :

If    \(\mathop {\lim }\limits_{x \to \infty } {\left( {1 + {a \over x} - {4 \over {{x^2}}}} \right)^{2x}} = {e^3},\) then 'a' is equal to :

Consider the following two statements :
P :     If 7 is an odd number, then 7 is
divisible by 2.
Q :    If 7 is a prime number, then 7 is an
odd number
If  V1 is the truth value of the contrapositive of P and V2 is the truth value of contr...

The number of distinct real roots of the equation,
\(\left| {\matrix{ {\cos x} & {\sin x} & {\sin x} \cr {\sin x} & {\cos x} & {\sin x} \cr {\sin x} & {\sin x} & {\cos x} \cr } } \right| = 0\) in the interval $$\left[ { -...

If P = \(\left[ {\matrix{ {{{\sqrt 3 } \over 2}} & {{1 \over 2}} \cr { - {1 \over 2}} & {{{\sqrt 3 } \over 2}} \cr } } \right],A = \left[ {\matrix{ 1 & 1 \cr 0 & 1 \cr } } \right]\,\,\,\)
Q = PAPT, then PT Q2015 P ...

The value of \(\sum\limits_{r = 1}^{15} {{r^2}} \left( {{{{}^{15}{C_r}} \over {{}^{15}{C_{r - 1}}}}} \right)\) is equal to :