JEE Main 2019 (Online) 9th January Evening Slot

Paper was held on
Wed, Jan 9, 2019 9:30 AM

## Chemistry

The entropy change associated with the conversion of 1 kg of ice at 273 K to water vapours at 383 K is :
(Specific heat

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For the following reaction, in the mass of water produced from 445 g of C57H110O6 is :
2C57H110O6(s) + 163 O2(g) $$ \to

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Which of the following conditions in drinking water causes methemoglobinemia ?

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The metal that forms nitride by reacting directly with N2 of air, is :

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The correct match between Item I and Item II is :
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For coagulation of arsenious sulphate sol, which one of the following salt solution will be most effective ?

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The complex that has highest crystal field splitting energy ($$\Delta $$), is :

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The pH of rain water, is approximately :

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For the reaction, 2A + B $$ \to $$ products, when the concentrations of A and B both were doubled, the rate of the

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If the standard electrode potential for a cell is 2 V at 300 K, the equilibrium constant (K) for the reaction
Zn(s) + C

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The temporary hardness of water is due to :

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Good reducing nature of H3PO2 is attributed to the presence of :

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Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ?
(a) An e

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In which of the following process, the bond order has increased and paramagnetic character has charged to diamagnetic ?

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When the first electron gain enthalpy $$\left( {{\Delta _{eg}}H} \right)$$ of oxygen is $$-$$ 141 kJ/mol, its second ele

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The transition element that has lowest enthalpy of atomisation, is :

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At 100oC, copper (Cu) has FCC unit cell structure with cell edge length of x $$\mathop A\limits^o $$. What is the approx

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A solution containing 62 g ethylene glycol in 250 g water is cooled to $$-$$ 10oC. If Kf for water is 1.86 K kg mol$$-$$

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Homoleptic octahedral complexes of a metal ion 'M3+' with three monodenate ligands L1, L2 and L3 adsorb wavelenths in th

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The major product in the following reaction is :

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The major product of the following reaction is :

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The major product obtained in the following reaction is :

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The major product of the following reaction is :

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Consider the following reversible chemical reactions :
The relation between K1 and K2 is :

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The correct sequence of amino acids present in the tripeptide given below is :

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The products formed in the reaction of cumene with O2 followed by treatment with dil. HCl are :

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The tests performed on compound X and their inferences are :
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Which of the following compounds is not aromatic ?

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The correct statement regarding the given Ellingham diagram is :

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The increasing basicity order of the following compounds is :

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## Mathematics

The sum of the following series
$$1 + 6 + {{9\left( {{1^2} + {2^2} + {3^2}} \right)} \over 7} + {{12\left( {{1^2} + {2^2

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For each x$$ \in $$R, let [x] be the greatest integer less than or equal to x.
Then $$\mathop {\lim }\limits_{x \to {0^

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If x = sin$$-$$1(sin10) and y = cos$$-$$1(cos10), then y $$-$$ x is equal to :

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If 0 $$ \le $$ x < $${\pi \over 2}$$, then the number of values of x for which sin x $$-$$ sin 2x +

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Let f : [0,1] $$ \to $$ R be such that f(xy) = f(x).f(y), for all x, y $$ \in $$ [0, 1], and f(0) $$ \ne $$ 0. If

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The coefficient of t4 in the expansion of $${\left( {{{1 - {t^6}} \over {1 - t}}} \right)^3}$$ is :

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Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz$$_0^{81}$$ $$-$$ 3iz$$_0^{93}$$, then arg z

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If the system of linear equations
x $$-$$ 4y + 7z = g
3y $$-$$ 5z = h
$$-$$2x

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The area of the region
A = {(x, y) : 0 $$ \le $$ y $$ \le $$x |x| + 1 and $$-$$1 $$ \le $$ x $$ \

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Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie o

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If both the roots of the quadratic equation x2 $$-$$ mx + 4 = 0 are real and distinct and they lie in the interval [1, 5

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The logical statement
[ $$ \sim $$ ( $$ \sim $$ p $$ \vee $$ q) $$ \vee $$ (p $$ \wedge $$ r)] $$ \wedge $$ ($$ \sim $$

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Let a, b and c be the 7th, 11th and 13th terms respectively of a non-constant A.P. If these are also three consecutive

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The equation of the plane containing the straight line $${x \over 2} = {y \over 3} = {z \over 4}$$ and perpendicular to

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If $$A = \left[ {\matrix{
{{e^t}} & {{e^{ - t}}\cos t} & {{e^{ - t}}\sin t} \cr
{{e^t}}

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If $$f\left( x \right) = \int {{{5{x^8} + 7{x^6}} \over {{{\left( {{x^2} + 1 + 2{x^7}} \right)}^2}}}} \

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A data consists of n observations : x1, x2, . . . . . . ., xn.
If $$\sum\limi

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Let f be a differentiable function from
R to R such that $$\left| {f\left( x \right) - f\left( y \right)} \right| \le 2

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If x $$=$$ 3 tan t and y $$=$$ 3 sec t, then the value of $${{{d^2}y} \over {d{x^2}}}$$ at t $$ = {\pi

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Let A(4, $$-$$ 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where

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The number of natural numbers less than 7,000 which can be formed by using the digits 0, 1, 3, 7, 9 (repitition of digit

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Let A = {x $$ \in $$ R : x is not a positive integer}.
Define a function $$f$$ : A $$ \to $$ R as

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The number of all possible positive integral values of $$\alpha $$ for which the roots of the quadratic equation,

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Let the equations of two sides of a triangle be 3x $$-$$ 2y + 6 = 0 and 4x + 5y $$-$$ 20 = 0. If the orthocentre of this

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If the lines x = ay + b, z = cy + d and x = a'z + b', y = c'z + d' are perpendicular, then :

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If $$\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1

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An urn contains 5 red and 2 green balls. A ball is drawn at random from the urn. If the drawn ball is green, then a red

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If the circles
x2 + y2 $$-$$ 16x $$-$$ 20y + 164 = r2
and (x $$-$$ 4)2 + (y $$-$$ 7)2 = 36
inte

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A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the

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Let $$\overrightarrow a = \widehat i + \widehat j + \sqrt 2 \widehat k,$$ $$\overrightarrow

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## Physics

At a given instant, say t = 0, two radioactive substance A and B have equal activities. the ratio $${{{R_B}} \over {{R_

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A power transmission line feeds input power at 2300 V to a srep down transformer with its primary windings having 4000 t

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A force acts on a 2 kg object so that its position is given as a function of time as x = 3t2 + 5. What is the work done

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The energy associated with electric field is (UE) and with magnetic field is (UB) for an electromagnetic wave in free sp

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A particle having the same charge as of electron moves in a ciurcular path of radius 0.5 cm under the influence of a mag

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Two point charges q1$$\left( {\sqrt {10} \mu C} \right)$$ and q2($$-$$ 25 $$\mu $$C) are placed on the x-axis at x = 1 m

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Expression for time in terms of G(universal gravitional constant), h (Planck constant) and c (speed of light) is proport

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The top of a water tank is open to air and its water level is mainted. It is giving out 0.74 m3 water per minute through

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The energy required to take a satellite to a height 'h' above Earth surface (radius of Earth = 6.4 $$ \times $$ 103 km)

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Two Carnot engines A and B are operated in series. The first one, A, receives heat at T1 (= 600 K) and rejects to a rese

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A series AC circuit containing an inductor (20 mH), a capacitor (120 $$\mu $$F) and a resistor (60 $$\Omega $$) is drive

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A particle is executing simple harmonic motion (SHM) of amplitude A, along the x-axis, about x = 0. When its potential E

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A mass of 10 kg is suspended vertically by a rope from the roof. When a horizontal force is applied on the rope at some

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A 15 g mass of nitrogen gas is enclosed in a vessel at a temperature 27oC. Amount of heat transferred to the gas, so tha

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In a Young's double slit experiment, the slits are placed 0.320 mm apart. Light of wavelength $$\lambda $$ = 500 nm is i

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Two plane mirrors are inclined to each other such that a ray of light incident on the first mirror (M1) and parallel to

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One of the two identical conducting wires of length L is bent in the form of a circular loop and the other one into a ci

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A rod of mass 'M' and length '2L' is suspended at its middle by a wire. It exhibits torsional oscillations; If two masse

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The pitch and the number of divisions, on the circular scale, for a given screw gauge are 0.5 mm and 100 respectively.

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Charge is distributed within a sphere of radius R with a volume charge density $$\rho \left( r \right) = {A \over {{r^2}

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In a car race on straight road, car A takes a time t less than car B at the finish and passes finishing point with a spe

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The magnetic field associated with a light wave is given, at the origin, by B = B0 [sin(3.14 $$ \times $$ 107)ct + sin(6

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A musician using an open flute of length 50 cm producess second harmonic sound waves. A person runs towards the musician

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In a communication system operating at wavelength 800 nm, only one percent of source frequency is available as signal ba

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The position co-ordinates of a particle moving in a 3-D coordinate system is given by
x = a cos$$\omega $$t
y = a sin$$

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Ge and Si diodes start conducting at 0.3 V and 0.7 V respectively. In the following figure if Ge diode connection are re

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A carbon resistance has a following colour code. What is the value of the resistance ?

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In the given circuit the the internal resistance of the 18 V cell is negligible. If R1 = 400 $$\Omega $$, R3 = 100 $$\Om

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A parallel plate capacitor with square plates is filled with four dielecytrics of dielectrics constants K1, K2, K3, K4 a

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A rod of length 50 cm is pivoted at one end. It is raised such that if makes an angle of 30o from the horizontal as sho

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