JEE Main 2019 (Online) 8th April Morning Slot

The major product of the following reaction is :

The major product of the following reaction is :

The major product of the following reaction is :

In the following compounds, the decreasing order of basic strength will be :

The IUPAC name of the following compound is :

Maltose on treatment with dilute HCI gives :

For the reaction 2A + B \(\to\) C, the values of initial rate at diffrent reactant concentrations are
given in the table below. The rate law for the reaction is :

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Which of the following amines can be prepared by Gabriel phthalimide reaction ?

Coupling of benzene diazonium chloride with 1 - naphthol in alkaline medium will give :

The following ligand is :

The correct order of the spin-only magnetic moment of metal ions in the following low-spin
complexes, [V(CN)6]4–,[Fe(CN)6]4–, [Ru(NH3)6]3+, and [Cr(NH3)6]2+ , is :

Given that \({E^\Theta }_{{O_2}/{H_2}O} = 1.23\,V\) ;
\({E^\Theta }_{{S_2}O_8^{2 - }/SO_4^{2 - }} = 2.05\,V\)
\({E^\Theta }_{B{r_2}/B{r^ - }} = 1.09\,V\)
\({E^\Theta }_{A{u^{3 + }}/Au} = 1.4\,V\)
The strongest oxidizing agent is :

Which is wrong with respect to our responsiblity as a human being to protect our environment?

Assertion : Ozone is destroyed by CFCs in the upper stratosphere.
Reason : Ozone holes increase the amount of UV radiation the earth.

100 mL of a water sample contains 0.81 g of calcium bicrabonate and 0.73 g of magnesium
bicarbonate. The hardness of this water sample expressed in terms of equivalents of CaCO3 is :
(Molar mass of calcium bicarbonate is 162 g mol–1 and mag...

If solublity product of Zr3(PO4)4 is denoted by Ksp and its molar solubility is denoted by S, then
which of the following relation between S and Ksp is correct ?

With respect to an ore, Ellingham diagram helps to predict the feasibility of its.

Diborane (B2H6) reacts with O2 and H2O independently, then products formed are :

The size of the iso-electronic species Cl–,  Ar and Ca2+ is affected by :

The lathanide ion that would show colour is :

An organic compound 'X' showing the following solubility profile is :

An organic compound neither reacts with neutral ferric chloride solution nor with fehling solution.
it however, reacts with Grignard reagent and gives positive iodoform test. The compound is :

In order to oxidise a mixture of one mole of each of FeC2O4, Fe2(C2O4)3, FeSO4 and Fe2(SO4)3 in
acidic medium, the number of moles of KMnO4 required is :

The correct order of hydration enthapies of alkali metal ions is :

Element 'B' forms ccp structure and 'A' occupies half of the octahedral voids, while oxygen atoms
occupy all the tetrahedral voids, The structure of bimetallic oxide is :

The vapour pressures of pure liquids A and B are 400 and 600 mmHg, respectively at 298 K on
mixing the two liquids, the sum of their initial volume is equal ot the volume of the final mixture.
The mole fraction of liquid B is 0.5 in the mix...

The quantum number of four electrons are given below :
n = 4, l = 2, ml =–2, ms = –1/2
n = 3, l = 2, ml = 1, ms = +1/2
n = 4, l = 1, ml = 0, ms = +1/2
n = 3, l = 1, ml = 1, ms = –1/2
The correct order of their increasing enegies will be :

Adsorption of a gas follows freundlich adosorbed isotherm. x is the mass of the gas adsorbed on
mass m of the adsorbent. The plot log \(x \over m\) versus log p is shown in the given graph. \(x \over m\) is
proportional to :

Which one of the following equations does not correctly represent the first law of thermodynamics
for the given processes involving an ideal gas? (Assume non-expansion work is zero)

For silver, Cp(J K–1 mol–1) = 23 +0.01 T. If the temperature (T) of 3 moles of silver is raised from 300
K to 1000 K at 1 atm pressure, the value of \(\Delta H\) will be close to :

The magnitude of the projection of the vector
\(\mathop {2i}\limits^ \wedge + \mathop {3j}\limits^ \wedge + \mathop k\limits^ \wedge\) on the vector perpendicular to the plane
containing the vectors $$\mathop {i}\limits^ \wedge + \m...

The length of the perpendicular from the point
(2, –1, 4) on the straight line,
\({{x + 3} \over {10}}\)= \({{y - 2} \over {-7}}\) = \({{z} \over {1}}\)
is :

The equation of a plane containing the line of
intersection of the planes 2x – y – 4 = 0 and
y + 2z – 4 = 0 and passing through the point
(1, 1, 0) is :

If S1 and S2 are respectively the sets of local
minimum and local maximum points of the function,
ƒ(x) = 9x4 + 12x3 – 36x2 + 25, x \(\in\) R,
then :

Let ƒ : [0, 2] \(\to\) R be a twice differentiable
function such that ƒ''(x) > 0, for all x \(\in\) (0, 2).
If \(\phi\)(x) = ƒ(x) + ƒ(2 – x), then \(\phi\) is :

The area (in sq. units) of the region
A = { (x, y) \(\in\) R × R|  0 \(\le\) x \(\le\) 3, 0 \(\le\) y \(\le\) 4,
y \(\le\) x2 + 3x} is :

The sum of the co-efficients of all even
degree terms in x in the expansion of
\({\left( {x + \sqrt {{x^3} - 1} } \right)^6}\) + \({\left( {x - \sqrt {{x^3} - 1} } \right)^6}\), (x > 1) is equal to:

The sum of the series
2.20C0
+ 5.20C1 + 8.20C2 + 11.20C3 + ... +62.20C20 is equal to :

The sum of the squares of the lengths of the chords
intercepted on the circle, x2 + y2 = 16, by the lines,
x + y = n, n \(\in\) N, where N is the set of all natural
numbers, is :

If \(\alpha\) and \(\beta\) be the roots of the equation
x2 – 2x + 2 = 0, then the least value of n for which \({\left( {{\alpha \over \beta }} \right)^n} = 1\) is :

If \(f(x) = {{2 - x\cos x} \over {2 + x\cos x}}\) and g(x) = logex, (x > 0) then
the value of integral \(\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {g\left( {f\left( x \right)} \right)dx{\rm{ }}}\) is

Let y = y(x) be the solution of the differential equation, \({({x^2} + 1)^2}{{dy} \over {dx}} + 2x({x^2} + 1)y = 1\) such
that y(0) = 0. If \(\sqrt ay(1)\) = \(\pi \over 32\) , then the value of
'a' is :

If \(2y = {\left( {{{\cot }^{ - 1}}\left( {{{\sqrt 3 \cos x + \sin x} \over {\cos x - \sqrt 3 \sin x}}} \right)} \right)^2}\),
x \(\in\) \(\left( {0,{\pi \over 2}} \right)\) then \(dy \over dx\) is equal to:

If the tangents on the ellipse 4x2 + y2 = 8 at the
points (1, 2) and (a, b) are perpendicular to each
other, then a2 is equal to :

If \(f(x) = {\log _e}\left( {{{1 - x} \over {1 + x}}} \right)\), \(\left| x \right| < 1\) then \(f\left( {{{2x} \over {1 + {x^2}}}} \right)\) is equal to

\(\int {{{\sin {{5x} \over 2}} \over {\sin {x \over 2}}}dx}\) is equal to
(where c is a constant of integration)

If \(\alpha = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)\), \(\beta = {\tan ^{ - 1}}\left( {{1 \over 3}} \right)\) where \(0 < \alpha ,\beta < {\pi \over 2}\) , then \(\alpha\) - \(\beta\) is equal to :

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

The contrapositive of the statement "If you are
born in India, then you are a citizen of India", is :

Let \(A = \left( {\matrix{ {\cos \alpha } & { - \sin \alpha } \cr {\sin \alpha } & {\cos \alpha } \cr } } \right)\), (\(\alpha\) \(\in\) R) such that $${A^{32}} = \left( {\matrix{
0 & { - 1} \cr
1 & 0 \cr

} } \rig...