JEE Main 2019 (Online) 12th April Evening Slot

What will be the major product when m-cresol is reacted with propargyl bromide (HC\(\equiv\)C–CH2Br) in
presence of K2CO3 in acetone?

The IUPAC name for the following compound is :

Which of the given statements is INCORRECT about glycogen?

In which one of the following equilibria, Kp \(\ne\) KC ?

The INCORRECT match in the following is :

NO2 required for a reaction is produced by the decomposition of N2O5 in CCl4 as per the equation,
2N2O5(g) \(\to\) 4NO2(g) + O2(g).
The initial concentration of N2O5 is 3.00 mol L–1
and it is 2.75 mol L–1
after 30 minutes. The rate of
f...

Benzene diazonium chloride on reaction with aniline in the presence of dilute hydrochloric acid gives :

The compound used in the treatment of lead poisoning is :

The coordination numbers of Co and Al in [Co(Cl)(en)2]Cl and K3[Al(C2O4)3], respectively, are :
(en = ethane-1, 2-diamine)

The pair that has similar atomic radii is :

The primary pollutant that leads to photochemical smog is :

An 'Assertion' and a 'Reason' are given below. Choose the correct answer from the following options :
Assertion (A) : Vinyl halides do not undergo nucleophilic substitution easily.
Reason (R) : Even though the intermediate carbocation is st...

Heating of 2-chloro-1-phenylbutane with EtOK/EtOH gives X as the major product. Reaction of X with
Hg(OAc)2/H2O followed by NaBH4 gives Y as the major product. Y is :

Which one of the following is likely to give a precipitate with AgNO3 solution ?

Consider the following reactions :

'A' is :

In the following skew conformation of ethane, H'–C–C–H'' dihedral angle is :

The temporary hardness of a water sample is due to compound X. Boiling this sample converts X to
compound Y. X and Y, respectively, are :

The decreasing order of electrical conductivity of the following aqueous solutions is :
0.1 M Formic acid (A),
0.1 M Acetic acid (B),
0.1 M Benzoic acid (C)

The molar solubility of Cd(OH)2 is 1.84 × 10–5
M in water. The expected solubility of Cd(OH)2 in a buffer
solution of pH = 12 is :

The correct statement is :

The C–C bond length is maximum in :

Among the following, the energy of 2s orbital is lowest in :

In comparison to boron, berylium has :

The correct name of the following polymer is :

The INCORRECT statement is :

The ratio of number of atoms present in a simple cubic, body centered cubic and face centered cubic
structure are, respectively :

A solution is prepared by dissolving 0.6 g of urea (molar mass = 60 g mol–1) and 1.8 g of glucose (molar
mass = 180 g mol–1) in 100 mL of water at 27oC. The osmotic pressure of the solution is :
(R = 0.08206 L atm K–1
mol–1)

25 g of an unknown hydrocarbon upon burning produces 88 g of CO2 and 9 g of H2O. This unknown
hydrocarbon contains :

Thermal decomposition of a Mn compound (X) at 513 K results in compound Y, MnO2 and gaseous product.
MnO2 reacts with NaCl and concentrated H2O4 to give a pungent gas Z. X, Y and Z, respectively, are :

Among the following, the INCORRECT statement about colloids is :

A plane which bisects the angle between the two given planes 2x – y + 2z – 4 = 0 and x + 2y + 2z – 2 = 0,
passes through the point :

The length of the perpendicular drawn from the point (2, 1, 4) to the plane containing the lines
\(\overrightarrow r = \left( {\widehat i + \widehat j} \right) + \lambda \left( {\widehat i + 2\widehat j - \widehat k} \right)\) and $$\over...

If the area (in sq. units) bounded by the parabola y2
= 4\(\lambda\)x and the line y = \(\lambda\)x, \(\lambda\) > 0, is \({1 \over 9}\)
, then \(\lambda\) is equal to :

If 20C1 + (22) 20C2 + (32) 20C3 + ..... + (202
)
20C20 = A(2\(\beta\)), then the ordered pair (A, \(\beta\)) is equal to :

The term independent of x in the expansion of
\(\left( {{1 \over {60}} - {{{x^8}} \over {81}}} \right).{\left( {2{x^2} - {3 \over {{x^2}}}} \right)^6}\) is equal to :

A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the
point :

Let z \(\in\) C with Im(z) = 10 and it satisfies \({{2z - n} \over {2z + n}}\) = 2i - 1 for some natural number n. Then :

A value of \(\alpha\) such that
\(\int\limits_\alpha ^{\alpha + 1} {{{dx} \over {\left( {x + \alpha } \right)\left( {x + \alpha + 1} \right)}}} = {\log _e}\left( {{9 \over 8}} \right)\) is :

The general solution of the differential equation (y2
– x3)dx – xydy = 0 (x \(\ne\) 0) is :
(where c is a constant of integration)

The derivative of \({\tan ^{ - 1}}\left( {{{\sin x - \cos x} \over {\sin x + \cos x}}} \right)\), with respect to \({x \over 2}\)
, where \(\left( {x \in \left( {0,{\pi \over 2}} \right)} \right)\) is :

An ellipse, with foci at (0, 2) and (0, –2) and minor axis of length 4, passes through which of the following points?

The angle of elevation of the top of a vertical tower standing on a horizontal plane is observed to be 45o from
a point A on the plane. Let B be the point 30 m vertically above the point A. If the angle of elevation of the
top of the tower ...

Let \(a \in \left( {0,{\pi \over 2}} \right)\) be fixed. If the integral
\(\int {{{\tan x + \tan \alpha } \over {\tan x - \tan \alpha }}} dx\) = A(x) cos 2\(\alpha\) + B(x) sin 2\(\alpha\) + C, where C is a
constant of integration, then...

Let f(x) = 5 – |x – 2| and g(x) = |x + 1|, x \(\in\) R. If f(x) attains maximum value at \(\alpha\) and g(x) attains
minimum value at \(\beta\), then
$$\mathop {\lim }\limits_{x \to -\alpha \beta } {{\left( {x - 1} \right)\left( {{x^2}...

\(\mathop {\lim }\limits_{x \to 0} {{x + 2\sin x} \over {\sqrt {{x^2} + 2\sin x + 1} - \sqrt {{{\sin }^2}x - x + 1} }}\) is :

The Boolean expression ~(p \(\Rightarrow\) (~q)) is equivalent to :

A value of \(\theta \in \left( {0,{\pi \over 3}} \right)\), for which
$$\left| {\matrix{
{1 + {{\cos }^2}\theta } & {{{\sin }^2}\theta } & {4\cos 6\theta } \cr
{{{\cos }^2}\theta } & {1 + {{\sin }^2}\theta } & {4\cos 6\theta } \c...

The equation of common tangent to the curves y2
= 16x and xy = –4, is :

The tangents to the curve y = (x – 2)2 – 1 at its points of intersection with the line x – y = 3, intersect at the point :

A group of students comprises of 5 boys and n girls. If the number of ways, in which a team of 3 students can
randomly be selected from this group such that there is at least one boy and at least one girl in each team, is
1750, then n is eq...