JEE Main 2019 (Online) 11th January Evening Slot

The major product of the following reaction is :

Which of the following compounds reacts with ethylmagnesium bromide and also decolourizes bromine water solution:

The major product obtained in the following reaction is :

The major product obtained in the following conversion is

In the following compound,

the favourable site/s for protonation is/are :

The correct match between Item I and Item II is :

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The reaction 2X \(\to\) B is a zeroth order reaction. If the initial concentration of X is 0.2 M, the half-life is 6 h. When the initial concentration of X is 0.5 M, the time required to reach its final concentration of 0.2 M will
be:

The correct match between Item I and Item II is :

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A compound 'X' on treatment with Br2/NaOH, provided C3H9N, which gives positive carbylamine test. Compound 'X' is :

The coordination number of Th in K4[Th(C2O4)4(OH2)2] is :
(C2O\({_4^{2 - }}\) = Oxalato)

The number of bridging CO ligand(s) and Co-Co bond(s) in Co2(CO)8, respectively are :

\(\underline A \,\,\buildrel {4KOH,{O_2}} \over \longrightarrow \,\,\mathop {2\underline B }\limits_{\left( {Green} \right)} \,\, + \,\,2{H_2}O\)
$$3\underline B \,\,\buildrel {4HCl} \over
\longrightarrow \,\,\mathop {2\underline C }\limi...

Given the equilibrium constant:
KC of the reaction :
Cu(s) + 2Ag+ (aq) \(\to\) Cu2+ (aq) + 2Ag(s) is 10 \(\times\) 1015, calculate the E\(_{cell}^0\) of this reaciton at 298 K [2.303 \({{RT} \over F}\) at 298 K = 0.059V]

Taj Mahal is being slowly disfigured and discoloured. This is primarily due to :

The higher concentration of which gas in air can cause stiffness of flower buds?

Which of the following compounds will produce a precipitate with AgNO3 ?

The relative stability of +1 oxidation state of group 13 elements follows the order :

The hydride that is NOT electron deficient :

The correct option with respect to the Pauling electronegativity values of the element is :

The homopolymer formed from 4-hydroxy-butanoic acid is :

The reaction that does NOT define calcination is :

Match the following items in column I with the corresponding items in column II.

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The radius of the largest sphere which fits properly at the centre of the edge of a body centred cubic unit cell is : (Edge length is represented by 'a')

K2Hgl4 is 40% ionised in aqueous solution. The value of its van't Hoff factor (i) is:

25 ml of the given HCl solution requires 30 mL of 0.1 M sodium carbonate solution. What is the volume of this HCl solution required to titrate 30 mL of 0.2 M aqueous NaOH solutions ?

The de Broglie wavelength (\(\lambda\)) associated with a photoelectron varies with the frequency (v) of the incident radiation as, [v0 is threshold frequency] :

Among the colloids cheese (C), milk (M), and smoke (S), the correct combination of the dispersed phase and dispersion medium, respectively is :

The standard reaction Gibbs energy for a chemical reaction at an absolute temperature T is given by
\(\Delta\)rGo = A – BT
Where A and B are non-zero constants. Which of the following is TRUE about this reaction?

The reaction, MgO(s) + C(s) \(\to\) Mg(s) + CO(g), for which \(\Delta\)rHo + 491.1 kJ mol–1 and \(\Delta\)rSo = 198.0 JK–1 mol–1, is not feasible at 298 K. Temperature above which reaciton will be feasible is :

For the equilibrium,
2H2O \(\rightleftharpoons\) H3O+ + OH\(-\), the value of \(\Delta\)Go at 298 K is approximately :

Two lines \({{x - 3} \over 1} = {{y + 1} \over 3} = {{z - 6} \over { - 1}}\) and \({{x + 5} \over 7} = {{y - 2} \over { - 6}} = {{z - 3} \over 4}\) intersect at the point R. The reflection of R in the xy-plane has coordinates :

If the point (2, \(\alpha\), \(\beta\)) lies on the plane which passes through the points (3, 4, 2) and (7, 0, 6) and is perpendicular to the plane 2x – 5y = 15, then 2\(\alpha\) – 3\(\beta\) is equal to

Let f(x) = \({x \over {\sqrt {{a^2} + {x^2}} }} - {{d - x} \over {\sqrt {{b^2} + {{\left( {d - x} \right)}^2}} }},\,\,\) x \(\, \in\) R, where a, b and d are non-zero real constants. Then :

The area (in sq. units) in the first quadrant bounded by the parabola, y = x2 + 1, the tangent to it at the point (2, 5) and the coordinate axes is :

Let (x + 10)50 + (x \(-\) 10)50 = a0 + a1x + a2x2 + . . . . + a50x50, for all x \(\in\) R; then \({{{a_2}} \over {{a_0}}}\) is equal to

Let Sn = 1 + q + q2 + . . . . . + qn and Tn = 1 + \(\left( {{{q + 1} \over 2}} \right) + {\left( {{{q + 1} \over 2}} \right)^2}\) + . . . . . .+ \({\left( {{{q + 1} \over 2}} \right)^n}\) where q is a real number and q \(\ne\) 1. If...

Let z be a complex number such that |z| + z = 3 + i (where i = \(\sqrt { - 1}\)). Then |z| is equal to :

The integral  \(\int\limits_{\pi /6}^{\pi /4} {{{dx} \over {\sin 2x\left( {{{\tan }^5}x + {{\cot }^5}x} \right)}}}\)  equals :

The solution of the differential equation,
\({{dy} \over {dx}}\) = (x – y)2, when y(1) = 1, is :

Let the length of the latus rectum of an ellipse with its major axis along x-axis and centre at the origin, be 8. If the distance between the foci of this ellipse is equal to the length of its minor axis, then which one of the following poi...

The number of functions f from {1, 2, 3, ...., 20} onto {1, 2, 3, ...., 20} such that f(k) is a multiple of 3,
whenever k is a multiple of 4, is :

Let a function f : (0, \(\infty\)) \(\to\) (0, \(\infty\)) be defined by f(x) = \(\left| {1 - {1 \over x}} \right|\). Then f is :

A circle cuts a chord of length 4a on the x-axis and passes through a point on the y-axis, distant 2b from the origin. Then the locus of the centre of this circle, is :

If a hyperbola has length of its conjugate axis equal to 5 and the distance between its foci is 13, then the
eccentricity of the hyperbola is :

If   \(\int {{{x + 1} \over {\sqrt {2x - 1} }}} \,dx\) = f(x) \(\sqrt {2x - 1}\) + C, where C is a constant of integration, then f(x) is equal to :

All x satisfying the inequality (cot–1
x)2– 7(cot–1 x) + 10 > 0, lie in the interval :

\(\mathop {\lim }\limits_{x \to 0} {{x\cot \left( {4x} \right)} \over {{{\sin }^2}x{{\cot }^2}\left( {2x} \right)}}\) is equal to :

Let K be the set of all real values of x where the function f(x) = sin |x| – |x| + 2(x – \(\pi\)) cos |x| is not differentiable. Then the set K is equal to :

Contrapositive of the statement " If two numbers are not equal, then their squares are not equal." is :

Let A and B be two invertible matrices of order 3 \(\times\) 3. If det(ABAT) = 8 and det(AB–1) = 8,
then det (BA–1 BT) is equal to :