JEE Main 2019 (Online) 8th April Evening Slot

The major product obtained in the following
reaction is

Which of the following compounds will show
the maximum 'enol' content?

Fructose and glucose can be distinguished by :

Among the following molecules / ions,
\(C_2^{2 - },N_2^{2 - },O_2^{2 - },{O_2}\)
which one is diamagnetic and has the shortest
bond length?

The covalent alkaline earth metal halide
(X = Cl, Br, I) is :

The correct statement about ICl5 and \(ICl_4^-\) is

The ion that has sp3d2 hybridization for the
central atom, is :

For the following reactions, equilibrium
constants are given :
S(s) + O2(g) ⇋ SO2(g); K1 = 1052
2S(s) + 3O2(g) ⇋ 2SO3(g); K2 = 10129
The equilibrium constant for the reaction,
2SO2(g) + O2(g) ⇋ 2SO3(g) is :

For a reaction scheme \(A\buildrel {{k_1}} \over \longrightarrow B\buildrel {{k_2}} \over \longrightarrow C\),
if
the rate of formation of B is set to be zero then
the concentration of B is given by :

The major product of the following reaction is:

The major product obtained in the following
reaction is :

The calculated spin-only magnetic moments
(BM) of the anionic and cationic species of
[Fe(H2O)6]2 and [Fe(CN)6], respectively, are :

The compound that inhibits the growth of
tumors is :

The statement that is INCORRECT about the
interstitial compounds is :

Calculate the standard cell potential in (V) of the
cell in which following reaction takes place :
Fe2+(aq) + Ag+(aq) \(\to\) Fe3+(aq) + Ag (s)
Given that
\(E_{A{g^ + }/Ag}^o = xV\)
\(E_{Fe^{2+ }/Fe}^o = yV\)
\(E_{Fe^{3+ }/Fe}^o = zV\)

The maximum prescribed concentration of
copper in drinking water is :

The major product of the following reaction is:

Which one of the following alkenes when
treated with HCl yields majorly an anti
Markovnikov product?

The major product in the following reaction is :

Polysubstitution is a major drawback in:

The strength of 11.2 volume solution of H2O2
is : [Given that molar mass of H = 1 g mol–1
and O = 16 g mol–1]

The Mond process is used for the

The IUPAC symbol for the element with atomic
number 119 would be :

The structure of Nylon-6 is :

Consider the bcc unit cells of the solids 1 and
2 with the position of atoms as shown below.
The radius of atom B is twice that of atom A.
The unit cell edge length is 50% more in solid
2 than in 1. What is the approximate packing
efficienc...

0.27 g of a long chain fatty acid was dissolved
in 100 cm3 of hexane. 10 mL of this solution
was added dropwise to the surface of water in
a round watch glass. Hexane evaporates and a
monolayer is formed. The distance from edge
to centre of...

For the solution of the gases w, x, y and z in
water at 298K, the Henrys law constants (KH)
are 0.5, 2, 35 and 40 kbar, respectively. The
correct plot for the given data is :-

The percentage composition of carbon by mole
in methane is :

If p is the momentum of the fastest electron
ejected from a metal surface after the irradiation
of light having wavelength \(\lambda\), then for 1.5 p
momentum of the photoelectron, the
wavelength of the light should be:
(Assume kinetic en...

5 moles of an ideal gas at 100 K are allowed
to undergo reversible compression till its
temperature becomes 200 K.
If CV = 28 JK–1mol–1, calculate \(\Delta\)U and \(\Delta\)pV for
this process. (R = 8.0 JK–1 mol–1]

If a point R(4, y, z) lies on the line segment joining
the points P(2, –3, 4) and Q(8, 0, 10), then the
distance of R from the origin is :

The vector equation of the plane through the line
of intersection of the planes x + y + z = 1 and 2x
+ 3y+ 4z = 5 which is perpendicular to the plane
x – y + z = 0 is :

The height of a right circular cylinder of maximum
volume inscribed in a sphere of radius 3 is

Given that the slope of the tangent to a curve y
= y(x) at any point (x, y) is
\(2y \over x^2\). If the curve passes through the centre of the circle x2 + y2 – 2x – 2y = 0, then its equation is :

Let S(\(\alpha\)) = {(x, y) : y2
\(\le\) x, 0 \(\le\) x \(\le\) \(\alpha\)} and A(\(\alpha\))
is area of the region S(\(\alpha\)). If for a \(\lambda\), 0 < \(\lambda\) < 4,
A(\(\lambda\)) : A(4) = 2 : 5, then \(\lambda\) e...

If the fourth term in the binomial expansion of
\({\left( {\sqrt {{x^{\left( {{1 \over {1 + {{\log }_{10}}x}}} \right)}}} + {x^{{1 \over {12}}}}} \right)^6}\) is equal to 200, and x > 1,
then the value of x is :

The tangent and the normal lines at the point
( \(\sqrt 3\), 1) to the circle x2
+ y2 = 4 and the x-axis form a triangle. The area of this triangle (in
square units) is :

If \(z = {{\sqrt 3 } \over 2} + {i \over 2}\left( {i = \sqrt { - 1} } \right)\),
then (1 + iz + z5 + iz8)9 is equal to :

Let \(f(x) = \int\limits_0^x {g(t)dt}\) where g is a non-zero even
function. If ƒ(x + 5) = g(x), then \(\int\limits_0^x {f(t)dt}\) equals-

If ƒ(1) = 1, ƒ'(1) = 3, then the derivative of
ƒ(ƒ(ƒ(x))) + (ƒ(x))2
at x = 1 is :

In an ellipse, with centre at the origin, if the
difference of the lengths of major axis and minor
axis is 10 and one of the foci is at (0,5\(\sqrt 3\)), then
the length of its latus rectum is :

Let ƒ(x) = ax
(a > 0) be written as
ƒ(x) = ƒ1
(x) + ƒ2
(x), where ƒ1
(x) is an even
function of ƒ2
(x) is an odd function. Then
ƒ1
(x + y) + ƒ1
(x – y) equals

Two vertical poles of heights, 20 m and 80 m stand
a part on a horizontal plane. The height (in meters)
of the point of intersection of the lines joining the
top of each pole to the foot of the other, from this
horizontal plane is :

If the eccentricity of the standard hyperbola
passing through the point (4,6) is 2, then the
equation of the tangent to the hyperbola at (4,6)
is :

If \(\int {{{dx} \over {{x^3}{{(1 + {x^6})}^{2/3}}}} = xf(x){{(1 + {x^6})}^{{1 \over 3}}} + C}\)
where C is a constant of integration, then the
function ƒ(x) is equal to

Let ƒ : R \(\to\) R be a differentiable function
satisfying ƒ'(3) + ƒ'(2) = 0.
Then \(\mathop {\lim }\limits_{x \to 0} {\left( {{{1 + f(3 + x) - f(3)} \over {1 + f(2 - x) - f(2)}}} \right)^{{1 \over x}}}\) is equal to

Let ƒ : [–1,3] \(\to\) R be defined as
$$f(x) = \left\{ {\matrix{
{\left| x \right| + \left[ x \right]} & , & { - 1 \le x < 1} \cr
{x + \left| x \right|} & , & {1 \le x < 2} \cr
{x + \left[ x \right]} & , & {2 \le x \le 3} \...

Which one of the following statements is not a
tautology?

Let the number 2,b,c be in an A.P. and
A = \(\left[ {\matrix{ 1 & 1 & 1 \cr 2 & b & c \cr 4 & {{b^2}} & {{c^2}} \cr } } \right]\). If det(A) \(\in\) [2, 16], then c
lies in the interval :

The tangent to the parabola y2
= 4x at the point
where it intersects the circle x2
+ y2
= 5 in the
first quadrant, passes through the point :