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JEE Main 2019 (Online) 12th January Morning Slot

Exam Held on Sat Jan 12 2019 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

In the following reaction : <br><br> Aldehyde + Alcohol &nbsp;&nbsp;$$\buildrel...
Among the following four aromatic compounds, which one will have the lowest melt...
The pair of metal ions that can give a spin only magnetic moment of 3.9 BM for t...
The element with Z = 120 (not yet discovered) will be an/a -
What is the work function of the metal if the light of wavelength 4000$$\mathop ...
Iodine reacts with concentrated HNO<sub>3</sub> to yield Y along with other prod...
The correct order for acid strength of compounds : <br><br>CH $$ \equiv $$ CH, C...
In the following reaction, products A and B are – <br><br><img src="https://ima...
<img src="https://imagex.cdn.examgoal.net/l1qMZ9iZ8nZPRV0js/dnPIhDd4zZgyNhbeOigs...
50 mL of 0.5 M oxalic acid is needed to neutralize 25 mL of sodium hydroxide sol...
For diatomic ideal gas in a closed system, which of the following plots does not...
Given <br><style type="text/css"> .tg {border-collapse:collapse;border-spacing:...
Freezing point of a 4% aqueous solution of X is equal to freezing point of 12% a...
A metal on combustion in excess air forms X. X upon hydrolysis with water yields...
The hardness of a water sample (in terms of equivalents of CaCO<sub>3</sub>) con...
Poly $$\beta $$ –hydroxybutyrate-co-$$\beta $$-hydroxyvalerate (PHBV) is a copol...
The metal d-orbitals that are directly facing the ligands in K<sub>3</sub>[Co(CN...
Decomposition of X exhibits a rate constant of 0.05 $$\mu $$g/year. How many yea...
The molecule that has minimum /no role in the formation of photochemical smog, i...
Among the following compounds most basic amino acid is -
The standard electrode potential $${E^o }$$ and its temperature coefficient $$\l...
Water samples with BOD values of 4 ppm and 18 ppm, respectively are -
The increasing order of reactivity of the following compounds towards reaction w...
The major product of the following reaction is <br><br><img src="https://imagex...
In a chemical reaction, <br><br><img src="https://imagex.cdn.examgoal.net/jgy2x...
Mn<sub>2</sub>(CO)<sub>10</sub> is an organometallic compound due to the presenc...
The volume of gas A is twice than that of gas B. The compressibility factor of g...
Two solids dissociate as follows – <br><picture><source media="(max-width: 320p...
The major product of the following reaction is – <br><br><img src="https://imag...
In the Hall-Heroult process, aluminium is formed at the cathode. The cathode is ...

Mathematics

The maximum area (in sq. units) of a rectangle having its base on the x-axis and...
In a random experiment, a fair die is rolled until two fours are obtained in suc...
Let S = {1, 2, 3, … , 100}. The number of non-empty subsets A of S such that the...
If $${{z - \alpha } \over {z + \alpha }}\left( {\alpha \in R} \right)$$ is a pu...
Let f and g be continuous functions on [0, a] such that f(x) = f(a – x) and g(x)...
The sum of the distinct real values of $$\mu $$, for which the vectors, $$\mu \w...
A ratio of the 5th term from the beginning to the 5th term from the end in the b...
If the sum of the deviations of 50 observations from 30 is 50, then the mean of ...
If the vertices of a hyperbola be at (–2, 0) and (2, 0) and one of its foci be a...
Let&nbsp;&nbsp;S<sub>k</sub> = $${{1 + 2 + 3 + .... + k} \over k}.$$ If &nbsp;&n...
If a variable line, 3x + 4y – $$\lambda $$ = 0 is such that the two circles x<su...
Let y = y(x) be the solution of the differential equation, x$${{dy} \over {dx}}$...
The product of three consecutive terms of a G.P. is 512. If 4 is added to each o...
Considering only the principal values of inverse functions, the set <br>A = { x ...
For x &gt; 1, if (2x)<sup>2y</sup> = 4e<sup>2x$$-$$2y</sup>, <br><br>then (...
The Boolean expression ((p $$ \wedge $$ q) $$ \vee $$ (p $$ \vee $$ $$ \sim $$ q...
The perpendicular distance from the origin to the plane containing the two lines...
If the straight line, 2x – 3y + 17 = 0 is perpendicular to the line passing thro...
The area (in sq. units) of the region bounded by the parabola, y = x<sup>2</sup>...
Let C<sub>1</sub> and C<sub>2</sub> be the centres of the circles x<sup>2</sup> ...
$$\mathop {\lim }\limits_{x \to \pi /4} {{{{\cot }^3}x - \tan x} \over {\cos \le...
A tetrahedron has vertices P(1, 2, 1), Q(2, 1, 3), R(–1, 1, 2) and O(0, 0, 0). T...
The integral $$\int \, $$cos(log<sub>e</sub> x) dx is equal to : (where C is a ...
Let S be the set of all points in (–$$\pi $$, $$\pi $$) at which the function, f...
An ordered pair ($$\alpha $$, $$\beta $$) for which the system of linear equatio...
The maximum value of 3cos$$\theta $$ + 5sin $$\left( {\theta - {\pi \over 6}}...
Let P = $$\left[ {\matrix{ 1 &amp; 0 &amp; 0 \cr 3 &amp; 1 &amp; 0 \cr ...
If $$\lambda $$ be the ratio of the roots of the quadratic equation in x, 3m<sup...
Let P(4, –4) and Q(9, 6) be two points on the parabola, y<sup>2</sup> = 4x and l...
Consider three boxes, each containing, 10 balls labelled 1, 2, … , 10. Suppose o...

Physics

As shown in the figure, two infinitely long, identical wires are bent by 90<sup>...
A person standing on an open ground hears the sound of a jet aeroplane, coming f...
An ideal gas occupies a volume of 2m<sup>3</sup> at a pressure of 3 $$ \times $...
A cylinder of radius R is surrounded by a cylindrical shell of inner radius R an...
A particle A of mass 'm' and charge 'q' is accelerated by a potential difference...
A light wave is incident normally on a glass slab of refractive index 1.5. If 4 ...
Determine the electric dipole moment of the system of the three charges, placed ...
Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 ...
The position vector of the centre of mass $$\overrightarrow r {\,_{cm}}\,$$ of a...
A point source of light, S is placed at distance L in front of the centre of pla...
The galvanometer deflection, when key K<sub>1</sub> is closed but K<sub>2</sub> ...
A simple pendulum, made of a string of length $$\ell $$ and a bob of mass m, is ...
The least count of the main scale of a screw gauge is 1 mm. The minimum number o...
In the figure shown, after the switch 'S' is turned from position 'A' to positio...
For the given cyclic process CAB as shown for a gas, the work done is : <br><br...
In the figure shown, a circuit contains two identical resistors with resistance ...
A travelling harmonic wave is represented by the equation y(x,t) = 10<sup>–3</su...
What is the position and nature of image formed by lens combination shown in fig...
A straight rod of length L extends from x = a to x = L + a. The gravitational fo...
An ideal battery of 4 V and resistance R are connected in series in the primary ...
A satellite of mass M is in a circular orbit of radius R about the centre of the...
A 100 V carrier wave is made to vary between 160 V and 40 V by a modulating sign...
There is a uniform spherically symmetric surface charge density at a distance R<...
In a meter bridge, the wire of length 1 m has a non-uniform cross-section such t...
The output of the given logic circuit is : <br><br><img src="https://imagex.cdn....
A passenger train of length 60 m travels at a speed of 80 km/hr. Another freight...
A proton and an $$\alpha $$-particle (with their masses in the ratio of 1 : 4 an...
Two light identical springs of spring constant k are attached horizontally at th...
Two electric bulbs, rated at (25 W, 220 V) and (100 W, 220 V), are connected in ...
A particle of mass m moves in a circular orbit in a central potential field U(r)...

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