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

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

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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 -

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

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

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In the following reaction, products A and B are –

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

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

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can not be prepared by -

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

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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

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

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

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

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

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

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

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

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Among the following compounds most basic amino acid is -

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

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

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

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

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The major product of the following reaction is

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

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

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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

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The major product of the following reaction is –

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

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

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## 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,

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

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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 :

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

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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

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

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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}

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

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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

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

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

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

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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

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

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

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

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

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

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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

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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

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

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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

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

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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

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

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

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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

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

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

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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,

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## Physics

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

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

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

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

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

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

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

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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

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

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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

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

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

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

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

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

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

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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

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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 =

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

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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

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

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The output of the given logic circuit is :

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

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

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

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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

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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

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

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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

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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

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