JEE Main 2019 (Online) 12th January Morning Slot

can not be prepared by -

In the following reaction :
Aldehyde + Alcohol   \(\buildrel {HCl} \over \longrightarrow\)  Acetal

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In the following reaction, products A and B are –

The major product of the following reaction is –

Among the following four aromatic compounds, which one will have the lowest melting point ?

Among the following compounds most basic amino acid is -

Two solids dissociate as follows –

The total pressure when both the solids dissociated simultaneously is -

In a chemical reaction,

the initial concentration of B was 1.5 times of the
concentration of A, but the equilibrium concentrations of A and B were found to be equal. The equilibrium constant (K) for the aforesaid chemical reaction is -

Decomposition of X exhibits a rate constant of 0.05 \(\mu\)g/year. How many year are required for the decomposition of 5\(\mu\)g of X into 2.5 \(\mu\)g?

The increasing order of reactivity of the following compounds towards reaction with alkyl halides directly is

(A)

(B)

(C)

(D)

The pair of metal ions that can give a spin only magnetic moment of 3.9 BM for the complex [M(H2O)6]Cl2, is -

The metal d-orbitals that are directly facing the ligands in K3[Co(CN)6] are -

Mn2(CO)10 is an organometallic compound due to the presence of -

The standard electrode potential \({E^o }\) and its temperature coefficient \(\left( {{{d{E^o }} \over {dT}}} \right)\) for a cell are 2V and \(-\) 5 \(\times\) 10\(-\)4 VK\(-\)1 at 300 K respectively.
The cell reaction is
Zn(s) + Cu2+ ...

Water samples with BOD values of 4 ppm and 18 ppm, respectively are :

The molecule that has minimum /no role in the formation of photochemical smog, is :

The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures of the gases for equal number of moles are -

The correct order for acid strength of compounds : CH \(\equiv\) CH, CH3–C \(\equiv\) CH and CH2 = CH2 is as follows

The major product of the following reaction is

In the Hall-Heroult process, aluminium is formed at the cathode. The cathode is made out of -

Iodine reacts with concentrated HNO3 to yield Y along with other products. The oxidation state of iodine in Y, is :

The element with Z = 120 (not yet discovered) will be an/a -

Poly \(\beta\) –hydroxybutyrate-co-\(\beta\)-hydroxyvalerate (PHBV) is a copolymer of

The hardness of a water sample (in terms of equivalents of CaCO3) containing 10–3 M CaSO4 is (Molar mass of CaSO4 = 136 g mol–1)

50 mL of 0.5 M oxalic acid is needed to neutralize 25 mL of sodium hydroxide solution. The amount of NaOH in 50 mL of the given sodium hydroxide solution is -

A metal on combustion in excess air forms X. X upon hydrolysis with water yields H2O2 and O2 along with another product. The metal is :

Freezing point of a 4% aqueous solution of X is equal to freezing point of 12% aqueous solution of Y. If molecular weight of X is A, then molecular weight of Y is -

What is the work function of the metal if the light of wavelength 4000\(\mathop A\limits^ \circ\) generates photoelectrons of velocity 6 \(\times\) 105 ms–1 from it ?
(Mass of electron = 9 \(\times\) 10–31 kg;
Velocity of light = 3 ...

Given

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For diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between various thermodynamic quantities?

A tetrahedron has vertices P(1, 2, 1), Q(2, 1, 3), R(–1, 1, 2) and O(0, 0, 0). The angle between the faces OPQ and PQR is :

The perpendicular distance from the origin to the plane containing the two lines, \({{x + 2} \over 3} = {{y - 2} \over 5} = {{z + 5} \over 7}\) and \({{x - 1} \over 1} = {{y - 4} \over 4} = {{z + 4} \over 7},\) is :

The area (in sq. units) of the region bounded by the parabola, y = x2 + 2 and the lines, y = x + 1, x = 0 and x = 3, is

A ratio of the 5th term from the beginning to the 5th term from the end in the binomial expansion of \({\left( {{2^{1/3}} + {1 \over {2{{\left( 3 \right)}^{1/3}}}}} \right)^{10}}\) is :

Let C1 and C2 be the centres of the circles x2 + y2 – 2x – 2y – 2 = 0 and x2 + y2 – 6x – 6y + 14 = 0 respectively. If P and Q are the points of intersection of these circles, then the area (in sq. units) of the quadrilateral PC1QC2 is :

If a variable line, 3x + 4y – \(\lambda\) = 0 is such that the two circles x2 + y2 – 2x – 2y + 1 = 0 and x2 + y2 – 18x – 2y + 78 = 0 are on its opposite sides, then the set of all values of \(\lambda\) is the interval :

If \({{z - \alpha } \over {z + \alpha }}\left( {\alpha \in R} \right)\) is a purely imaginary number and | z | = 2, then a value of \(\alpha\) is :

Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x) + g(a – x) = 4, then \(\int\limits_0^a \,\)f(x) g(x) dx is equal to :

Let y = y(x) be the solution of the differential equation, x\({{dy} \over {dx}}\) + y = x loge x, (x > 1). If 2y(2) = loge 4 \(-\) 1, then y(e) is equal to :

For x > 1, if (2x)2y = 4e2x\(-\)2y,
then (1 + loge 2x)2 \({{dy} \over {dx}}\) is equal to :

If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be at (–3, 0), then which one of the following points does not lie on this hyperbola?

The integral \(\int \,\)cos(loge x) dx is equal to : (where C is a constant of integration)

Considering only the principal values of inverse functions, the set
A = { x \(\ge\) 0: tan\(-\)1(2x) + tan\(-\)1(3x) = \({\pi \over 4}\)}

Let S be the set of all points in (–\(\pi\), \(\pi\)) at which the function, f(x) = min{sin x, cos x} is not differentiable. Then S is a subset of which of the following ?

\(\mathop {\lim }\limits_{x \to \pi /4} {{{{\cot }^3}x - \tan x} \over {\cos \left( {x + {\pi \over 4}} \right)}}\) is :

The Boolean expression ((p \(\wedge\) q) \(\vee\) (p \(\vee\) \(\sim\) q)) \(\wedge\) (\(\sim\) p \(\wedge\) \(\sim\) q) is equivalent to :

An ordered pair (\(\alpha\), \(\beta\)) for which the system of linear equations
(1 + \(\alpha\)) x + \(\beta\)y + z = 2
\(\alpha\)x + (1 + \(\beta\))y + z = 3
\(\alpha\)x + \(\beta\)y + 2z = 2
has a unique solution, is :

Let P = \(\left[ {\matrix{ 1 & 0 & 0 \cr 3 & 1 & 0 \cr 9 & 3 & 1 \cr } } \right]\) and Q = [qij] be two 3 \(\times\) 3 matrices such that Q – P5 = I3.
Then \({{{q_{21}} + {q_{31}}} \over {{q_{32}}}}\) is equal to :

The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola, y = 12 – x2 such that the rectangle lies inside the parabola, is :

Let P(4, –4) and Q(9, 6) be two points on the parabola, y2 = 4x and let x be any point on the arc POQ of this parabola, where O is the vertex of this parabola, such that the area of \(\Delta\)PXQ is maximum. Then this maximum area (in sq. ...