JEE Main 2019 (Online) 9th January Morning Slot

Which amongst the following is the strongest acid ?

The correct decreasing order for acid strength is :

The increasing order of pka of the following amino acids in aqueous solution is :
Gly, Asp, Lys, Arg

According to molecular orbital theory, which of the following is true with respect to Li2+ and Li2\(-\) ?

The following results were obtained during kinetic studies of the reaction ;
2A + B \(\to\) Products

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 5px;border-style:sol...

Arrange the following amines in the decreasing order of basicity :

The major product of following reaction is :

Two complexes [Cr(H2O)6]Cl3 (A) and [Cr(NH3)6]Cl3 (B) are violet and yellow coloured, respectively. The incorrect statement regarding them is :

The anodic half-cell of lead-acid battery is recharged using electricity of 0.05 Faraday. The amount of PbSO4 electrolyzed in g during the process is : (Molar mass of PbSO4 = 303 g mol\(-\)1)

A water sample has ppm level concentration of the following metals : Fe = 0.2; Mn = 5.0; Cu = 3.0; Zn = 5.0. The metal that makes the water sample unsuitable for drinking is :

0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m3 at 1000 K. Given R is the gas constant in JK\(-\)1mol\(-\)1, x is :

The major product of the following reaction is :

The compounds A and B in the following reaction are, respectively :

The major product of the following reaction is :

The isotopes of hydrogen are :

20 mL of 0.1 M H2SO4 solution is added to 30 mL of of 0.2 M NH4OH solution. The pH of the resultant mixture is : [pkb of NH4OH = 4.7].

The ore that contains both iron and copper is :

The one that is extensively used as a piezoelectric material is :

Correct statements among a to d regarding silicones are :
(a)   They are polymers with hydrophobic character.
(b)   They are biocompatible.
(c)   In general, they have high thermal stability and low dielectric strength.
(d)   Usually, t...

Aluminium is usually found in +3 oxidation state. In contrast, thallium exists in + 1 and + 3 oxidation states. This is due to :

In general, the properties that decrease and increase down a group in the periodic table, respectively, are :

Major product of the following reaction is :

The correct match between Item-I and Item-II is :

.tg {border-collapse:collapse;border-spacing:0;border:none;}
.tg td{font-family:Arial, sans-serif;font-size:14px;padding:10px 5px;border-style:solid;border-width:0px;overflow:hidden;word-...

The alkaline earth metal nitrate that does not crystallise with water molecules, is :

Which one of the following statements regarding Henry's law is not correct ?

A solution of sodium sulphate contains 92 g of Na+ ions per kilogram of water. The molality of Na+ ions in that solution in mol kg\(-\)1 is :

For emission line of atomic hydrogen from ni = 8 to nf = n, the plot of wave number \(\left( {\overline v } \right)\) against \(\left( {{1 \over {{n^2}}}} \right)\) will be (The Rydberg constant, RH is in wave number unit)

The highest value of the calculated spin only magnetic moment (in BM) among all the transition metal complexes is :

Adsorption of a gas follows Freundlich adsorption isotherm. In the given plot, x is the mass of the gas adsorbed on mass m of the adsorbent at pressure P. \({x \over m}\) is proportional to :

Consider the reversible isothermal expansion of an ideal gas in a closed system at two different temperatures T1 and T2 (T1 < T2). The correct graphical depiction of the dependence of work done (w) on the final volume (V) is :

The plane through the intersection of the planes x + y + z = 1 and 2x + 3y – z + 4 = 0 and parallel to y-axis
also passes through the point :

The equation of the line passing through (–4, 3, 1), parallel
to the plane x + 2y – z – 5 = 0 and intersecting
the line \({{x + 1} \over { - 3}} = {{y - 3} \over 2} = {{z - 2} \over { - 1}}\) is :

The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :

The area (in sq. units) bounded by the parabolae y = x2 – 1, the tangent at the point (2, 3) to it and the y-axis is :

If the fractional part of the number \(\left\{ {{{{2^{403}}} \over {15}}} \right\} is \, {k \over {15}}\), then k is equal to :

Three circles of radii a, b, c (a < b < c) touch each other externally. If they have x-axis as a common tangent, then :

Let \(\alpha\) and \(\beta\) be two roots of the equation x2 + 2x + 2 = 0 , then \(\alpha ^{15}\) + \(\beta ^{15}\) is equal to :

Let
A = \(\left\{ {\theta \in \left( { - {\pi \over 2},\pi } \right):{{3 + 2i\sin \theta } \over {1 - 2i\sin \theta }}is\,purely\,imaginary} \right\}\)
. Then the sum of the elements in A is :

The value of \(\int\limits_0^\pi {{{\left| {\cos x} \right|}^3}} \,dx\) is :

If y = y(x) is the solution of the differential equation,
x\(dy \over dx\) + 2y = x2, satisfying y(1) = 1, then y(\(1\over2\)) is equal
to :

For \(x \in R - \left\{ {0,1} \right\}\), Let f1(x) = \(1\over x\), f2 (x) = 1 – x and f3 (x) = \(1 \over {1 - x}\)
be three given
functions. If a function, J(x) satisfies
(f2 o J o f1) (x) = f3 (x) then J(x) is equal to :

Let \(0 < \theta < {\pi \over 2}\). If the eccentricity of the
hyperbola \({{{x^2}} \over {{{\cos }^2}\theta }} - {{{y^2}} \over {{{\sin }^2}\theta }}\) = 1 is greater
than 2, then the length of
its latus rectum lies in the interval :

For x2 \(\ne\) n\(\pi\) + 1, n \(\in\) N (the set of natural numbers), the integral \(\int {x\sqrt {{{2\sin ({x^2} - 1) - \sin 2({x^2} - 1)} \over {2\sin ({x^2} - 1) + \sin 2({x^2} - 1)}}} dx}\) is equal to :
(where c is a constant o...

If \({\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}\) (x > \(3 \over 4\)), then x is equal to :

Let f : R \(\to\) R be a function defined as
\(f(x) = \left\{ {\matrix{ 5 & ; & {x \le 1} \cr {a + bx} & ; & {1 < x < 3} \cr {b + 5x} & ; & {3 \le x < 5} \cr {30} & ; & {x \ge 5} \cr } } \right.\)
Then, f is

\(\mathop {\lim }\limits_{y \to 0} {{\sqrt {1 + \sqrt {1 + {y^4}} } - \sqrt 2 } \over {{y^4}}}\)

If the Boolean expression
(p \(\oplus\) q) \(\wedge\) (~ p \(\odot\) q) is equivalent
to p \(\wedge\) q, where \(\oplus , \odot \in \left\{ { \wedge , \vee } \right\}\), then the
ordered pair \(\left( { \oplus , \odot } \right)\)...

If \(A = \left[ {\matrix{ {\cos \theta } & { - \sin \theta } \cr {\sin \theta } & {\cos \theta } \cr } } \right]\), then the matrix A–50 when \(\theta\) = \(\pi \over 12\), is equal to :

The system of linear equations
x + y + z = 2
2x + 3y + 2z = 5
2x + 3y + (a2 – 1) z = a + 1 then

Equation of a common tangent to the circle, x2 + y2 – 6x = 0 and the parabola, y2 = 4x is :