JEE Main 2019 (Online) 12th January Morning Slot

Paper was held on
Sat, Jan 12, 2019 3:30 AM

## Chemistry

In the following reaction :
Aldehyde + Alcohol $$\buildrel {HCl} \over
\longrightarrow $$ Acet

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

View Question
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 -

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

View Question
What is the work function of the metal if the light of wavelength 4000$$\mathop A\limits^ \circ $$ generates photoelect

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

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

View Question
In the following reaction, products A and B are –

View Question
can not be prepared by -

View Question
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 th

View Question
For diatomic ideal gas in a closed system, which of the following plots does not correctly describe the relation between

View Question
Given
.tg {border-collapse:collapse;border-spacing:0;border:none;}
.tg td{font-family:Arial, sans-serif;font-size:14px

View Question
Freezing point of a 4% aqueous solution of X is equal to freezing point of 12% aqueous solution of Y. If molecular weigh

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

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

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

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

View Question
Decomposition of X exhibits a rate constant of 0.05 $$\mu $$g/year. How many year are required for the decomposition of

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

View Question
Among the following compounds most basic amino acid is -

View Question
The standard electrode potential $${E^o }$$ and its temperature coefficient $$\left( {{{d{E^o }} \over {dT}}} \right)$$

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

View Question
The increasing order of reactivity of the following compounds towards reaction with alkyl halides directly is
(A)
(B)

View Question
The major product of the following reaction is

View Question
In a chemical reaction,
the initial concentration of B was 1.5 times of the
concentration of A, but the equilibrium co

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

View Question
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 sam

View Question
Two solids dissociate as follows –
The total pressure when both the solids dissociated simultaneously is -

View Question
The major product of the following reaction is –

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

View Question
## Mathematics

The maximum area (in sq. units) of a rectangle having its base on the x-axis and its other two vertices on the parabola,

View Question
In a random experiment, a fair die is rolled until two fours are obtained in succession. The probability that the experi

View Question
Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the product of elements in A is even is :

View Question
If $${{z - \alpha } \over {z + \alpha }}\left( {\alpha \in R} \right)$$ is a purely imaginary number and | z | = 2, the

View Question
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

View Question
The sum of the distinct real values of $$\mu $$, for which the vectors, $$\mu \widehat i + \widehat j + \widehat k,$$ &n

View Question
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}

View Question
If the sum of the deviations of 50 observations from 30 is 50, then the mean of these observations is :

View Question
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 followi

View Question
Let Sk = $${{1 + 2 + 3 + .... + k} \over k}.$$ If $$S_1^2 + S_2^2 + .....\, + S_{10}^2 = {5 \over

View Question
If a variable line, 3x + 4y – $$\lambda $$ = 0 is such that the two circles x2 + y2 – 2x – 2y + 1 = 0 and x2 + y2 – 18

View Question
Let y = y(x) be the solution of the differential equation, x$${{dy} \over {dx}}$$ + y = x loge x, (x > 1). If 2y(2)

View Question
The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these term

View Question
Considering only the principal values of inverse functions, the set
A = { x $$ \ge $$ 0: tan$$-$$1(2x) + tan$$-$$1(3x) =

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

View Question
The Boolean expression ((p $$ \wedge $$ q) $$ \vee $$ (p $$ \vee $$ $$ \sim $$ q)) $$ \wedge $$ ($$ \sim $$ p $$ \wedge

View Question
The perpendicular distance from the origin to the plane containing the two lines, $${{x + 2} \over 3} = {{y - 2} \over 5

View Question
If the straight line, 2x – 3y + 17 = 0 is perpendicular to the line passing through the points (7, 17) and (15, $$\beta

View Question
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

View Question
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

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

View Question
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 i

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

View Question
Let S be the set of all points in (–$$\pi $$, $$\pi $$) at which the function, f(x) = min{sin x, cos x} is not different

View Question
An ordered pair ($$\alpha $$, $$\beta $$) for which the system of linear equations
(1 + $$\alpha $$) x + $$\beta $$y +

View Question
The maximum value of 3cos$$\theta $$ + 5sin $$\left( {\theta - {\pi \over 6}} \right)$$ for any real value of $$\thet

View Question
Let P = $$\left[ {\matrix{
1 & 0 & 0 \cr
3 & 1 & 0 \cr
9 & 3 & 1 \cr
} } \right

View Question
If $$\lambda $$ be the ratio of the roots of the quadratic equation in x, 3m2x2 + m(m – 4)x + 2 = 0, then the least valu

View Question
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,

View Question
Consider three boxes, each containing, 10 balls labelled 1, 2, … , 10. Suppose one ball is randomly drawn from each of t

View Question
## Physics

As shown in the figure, two infinitely long, identical wires are bent by 90o and placed in such a way that the segments

View Question
A person standing on an open ground hears the sound of a jet aeroplane, coming from north at an angle 60o with ground le

View Question
An ideal gas occupies a volume of 2m3 at a pressure of 3 $$ \times $$ 106 Pa. The energy of the gas is :

View Question
A cylinder of radius R is surrounded by a cylindrical shell of inner radius R and outer radius 2R. The thermal conductiv

View Question
A particle A of mass 'm' and charge 'q' is accelerated by a potential difference of 50 V. Another particle B of mass ' 4

View Question
A light wave is incident normally on a glass slab of refractive index 1.5. If 4 % of light gets reflected and the amplit

View Question
Determine the electric dipole moment of the system of the three charges, placed on the vertices of an equilateral triang

View Question
Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm), about its ax

View Question
The position vector of the centre of mass $$\overrightarrow r {\,_{cm}}\,$$ of an asymmetric uniform bar of negligible a

View Question
A point source of light, S is placed at distance L in front of the centre of plane mirror of width d which is hanging ve

View Question
The galvanometer deflection, when key K1 is closed but K2 is open, equals $$\theta $$0 (see figure). On closing K2 also

View Question
A simple pendulum, made of a string of length $$\ell $$ and a bob of mass m, is released from a small angle $${{\theta _

View Question
The least count of the main scale of a screw gauge is 1 mm. The minimum number of divisions on its circular scale requir

View Question
In the figure shown, after the switch 'S' is turned from position 'A' to position 'B', the energy dissipated in the circ

View Question
For the given cyclic process CAB as shown for a gas, the work done is :

View Question
In the figure shown, a circuit contains two identical resistors with resistance R = 5$$\Omega $$ and an inductance with

View Question
A travelling harmonic wave is represented by the equation y(x,t) = 10–3sin (50t + 2x), where, x and y are in mater and t

View Question
What is the position and nature of image formed by lens combination shown in figure ? (f1, f2 are focal lengths)

View Question
A straight rod of length L extends from x = a to x = L + a. The gravitational force it exerts on a point mass 'm' at x =

View Question
An ideal battery of 4 V and resistance R are connected in series in the primary circuit of a potentiometer of length 1 m

View Question
A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite of the same mass, fa

View Question
A 100 V carrier wave is made to vary between 160 V and 40 V by a modulating signal. What is the modulation index ?

View Question
There is a uniform spherically symmetric surface charge density at a distance R0 from the origin. The charge distributio

View Question
In a meter bridge, the wire of length 1 m has a non-uniform cross-section such that, the variation $${{dR} \over {d\ell

View Question
The output of the given logic circuit is :

View Question
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight train of length 120 m travels at a spee

View Question
A proton and an $$\alpha $$-particle (with their masses in the ratio of 1 : 4 and charges in the ratio of 1 : 2) are acc

View Question
Two light identical springs of spring constant k are attached horizontally at the two ends of a uniform horizontal rod A

View Question
Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in series across a 220 V voltage source. If

View Question
A particle of mass m moves in a circular orbit in a central potential field U(r) = $${1 \over 2}$$ kr2. If Bohr 's
quant

View Question