JEE Main 2019 (Online) 10th January Evening Slot

Paper was held on
Thu, Jan 10, 2019 9:30 AM

## Chemistry

A reaction of cobalt (III) chloride and ethylenediamine in a 1 : 2 mole ratio generates two isomeric products A (violet

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The pair that contains two P – H bonds in each of the oxoacids is

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In the reaction of oxalate with permanganate in acidic medium, the number of electrons involved in producing one molecul

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The reaction that is NOT involved in the ozone layer depletion mechanism in the stratosphere is :

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The electrolytes usually used in the electroplating of gold and silver, respectively are :

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Among the following reactions of hydrogen with halogens, the one that requires a catalyst is :

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A compound of formula A2B3 has the hcp lattice. Which atom forms the hcp lattice and what fraction of tetrahedral voids

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Which of the following tests cannot be used for identifying amino acids?

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Sodium metal on dissolution in liquid ammonia gives a deep blue solution due to the formation of :

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The ground state energy of hydrogen atom is – 13.6 eV. The energy of second excited state of He+ ion in eV is :

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The difference in the number of unpaired electrons of a metal ion in its high spin and low-spin octahedral complexes is

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The 71st electron of an element X with an atomic number of 71 enters into the orbital :

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In the cell
Pt$$\left| {\left( s \right)} \right|$$H2(g, 1 bar)$$\left| {HCl\left( {aq} \right)} \right|$$AgCl$$\left|

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The process with negative entropy change is :

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The amount of sugar (C12H22O11) required to prepare 2L of its 0.1 M aqueous solution is :

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Elevation in the boiling point for 1 molar solution of glucose is 2 K. The depression in the freezing point for 2 molal

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An ideal gas undergoes isothermal compression from 5m3 to 1 m3 against a constant external pressure of 4 Nm–2. Heat rel

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The number of 2-centre-2-electron and 3-centre -2-electron bonds in B2H6, respectively, are :

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The correct match between item 'I' and item 'II' is :
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Haemoglobin and gold sol are examples of :

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5.1 g NH4SH is introduced in 3.0 L evacuated flask at 327ºC. 30% of the solid NH4SH decomposed to NH3 and H2S as gases .

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An aromatic compound 'A' having molecular formula C7H6O2 on treating with aqueous ammonia and heating forms compound 'B'

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The major product of the following reaction is

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For an elementary chemical reaction,
the expression for $${{d\left[ A \right]} \over {dt}}$$ is

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What is the IUPAC name of the following compound ?

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What will be the major product in the following mononitration reaction ?

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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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Which is the most suitable reagent for the following transformation ?

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The major product of the following reaction

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## Mathematics

Let N be the set of natural numbers and two functions f and g be defined as f, g : N $$ \to $$ N such that
f(n) = $$\lef

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The length of the chord of the parabola x2 $$=$$ 4y having equation x – $$\sqrt 2 y + 4\sqrt 2 = 0$$ is -

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Two sides of a parallelogram are along the lines, x + y = 3 & x – y + 3 = 0. If its diagonals intersect at (2, 4), t

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If mean and standard deviation of 5 observations x1, x2, x3, x4, x5 are 10 and 3, respectively, then the variance of 6 o

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The value of $$\cot \left( {\sum\limits_{n = 1}^{19} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{p = 1}^n {2p} } \right)

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The value of $$\cos {\pi \over {{2^2}}}.\cos {\pi \over {{2^3}}}\,.....\cos {\pi \over {{2^{10}}}}.\sin {\pi \over {

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Let a1, a2, a3, ..... a10 be in G.P. with ai > 0 for i = 1, 2, ….., 10 and S be the set of pairs (r, k), r, k $$ \in

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If $$\sum\limits_{r = 0}^{25} {\left\{ {{}^{50}{C_r}.{}^{50 - r}{C_{25 - r}}} \right\} = K\left( {^{50}{C_{25

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If the probability of hitting a target by a shooter, in any shot, is $${1 \over 3}$$, then the minimum number of indepen

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Two vertices of a triangle are (0, 2) and (4, 3). If its orthocenter is at the origin, then its third vertex lies in whi

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The tangent to the curve, y = xex2 passing through the point (1, e) also passes through the point

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The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {\left[ x \right] + \left[ {\sin x} \right] + 4

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Let S = $$\left\{ {\left( {x,y} \right) \in {R^2}:{{{y^2}} \over {1 + r}} - {{{x^2}} \over {1 - r}}} \right\};r \ne \pm

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If $$\int\limits_0^x \, $$f(t) dt = x2 + $$\int\limits_x^1 \, $$ t2f(t) dt then f '$$\left( {{1 \over 2}} \

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Let A = $$\left[ {\matrix{
2 & b & 1 \cr
b & {{b^2} + 1} & b \cr
1 & b & 2 \cr

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With the usual notation, in $$\Delta $$ABC, if $$\angle A + \angle B$$ = 120o, a = $$\sqrt 3 $$ $$+$$ 1, b = $$\sqrt 3

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On which of the following lines lies the point of intersection of the line, $${{x - 4} \over 2} = {{y - 5} \

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The value of $$\lambda $$ such that sum of the squares of the roots of the quadratic equation, x2 + (3 – $$\lambda $$)x

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The positive value of $$\lambda $$ for which the co-efficient of x2
in the expression x2 $${\left( {\sqrt x + {\lambda

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Let $$z = {\left( {{{\sqrt 3 } \over 2} + {i \over 2}} \right)^5} + {\left( {{{\sqrt 3 } \over 2} - {i \over 2}} \right)

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The curve amongst the family of curves represented by the differential equation, (x2 – y2)dx + 2xy dy = 0 which passes t

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The number of values of $$\theta $$ $$ \in $$ (0, $$\pi $$) for which the system of linear equations
x + 3y + 7z = 0
$$-

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Let f : ($$-$$1, 1) $$ \to $$ R be a function defined by f(x) = max $$\left\{ { - \left| x \right|, - \sqrt {1 - {x^2}}

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Let f be a differentiable function such that f '(x) = 7 - $${3 \over 4}{{f\left( x \right)} \over x},$$ (x > 0) and f

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Consider the following three statements :
P : 5 is a prime number
Q : 7 is a factor of 192
R : L.C.M. of 5 and 7 is 35
T

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If $$\overrightarrow \alpha $$ = $$\left( {\lambda - 2} \right)\overrightarrow a + \overrightarrow b $$ an

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The plane which bisects the line segment joining the points (–3, –3, 4) and (3, 7, 6) at right angles, passes through wh

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If $$\int \, $$x5.e$$-$$4x3 dx = $${1 \over {48}}$$e$$-$$4x3 f(x) + C, where C is a constant of inegration, then

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If the area of an equilateral triangle inscribed in the circle x2 + y2
+ 10x + 12y + c = 0 is $$27\sqrt 3 $$ sq units t

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A helicopter is flying along the curve given by y – x3/2 = 7, (x $$ \ge $$ 0). A soldier positioned at the point $$\left

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## Physics

A closed organ pipe has a fundamental frequency of 1.5 kHz. The number of overtones that can be distinctly heard by a pe

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A metal plate of area 1 $$ \times $$ 10–4 m2 is illuminated by a radiation of intensity 16 mW/m2. The work function of t

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Four equal point charges Q each are placed in the xy plane at (0, 2), (4, 2), (4, –2) and (0, –2). The work required to

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Consider the nuclear fission
Ne20 $$ \to $$ 2He4 + C12
Given that the binding energy/ nucleon of Ne20, He4 and C12

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Two vectors $$\overrightarrow A $$ and $$\overrightarrow B $$ have equal magnitudes. The magnitude of $$\left( {\overri

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The diameter and height of a cylinder are measured by a meter scale to be 12.6 $$ \pm $$ 0.1 cm and 34.2 $$ \pm $$ 0.1 c

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Two stars of masses 3 $$ \times $$ 1031 kg each, and at distance 2 $$ \times $$ 1011 m rotate in a plane about their com

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At some location on earth, the horizontal component of earth’s magnetic field is 18 × 10–6 T. At this location, magnetic

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The self induced emf of a coil is 25 volts. When the current in it is changed at uniform rate from 10 A to 25 A in 1s, t

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A current of 2 mA was passed through an unknown resistor which dissipated a power of 4.4 W. Dissipated power when an ide

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The electric field of a plane polarized electromagnetic wave in free space at time t = 0 is given by an expression $$\ov

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The modulation frequency of an AM radio station is 250 kHz, which is 10% of the carrier wave. If another AM station appr

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Half mole of an ideal monoatomic gas is heated at constant pressure of 1 atm from 20oC to 90oC. Work done
by gas is clos

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Two kg of a monoatomic gas is at a pressure of 4 $$ \times $$ 104 N/m2. The density of the gas is 8 kg/m3. What is the o

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Two forces P and Q, of magnitude 2F and 3F, respectively, are at an angle $$\theta $$ with each other. If the force Q is

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A cylindrical plastic bottle of negligible mass is filled with 310 ml of water and left floating in a pond with still wa

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A hoop and a solid cylinder of same mass and radius are made of a permanent magnetic material with their magnetic moment

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A particle which is experiencing a force, given by $$\overrightarrow F = 3\widehat i - 12\widehat j,$$ undergoes a disp

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The eye can be regarded as a single refracting surface. The radius of curvature of this surface is equal to that of corn

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An unknown metal of mass 192 g heated to a temperature of 100oC was immersed into a brass calorimeter of mass 128 g cont

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A particle executes simple harmonic motion with an amplitude of 5 cm. When the particle is at 4 cm from the mean positio

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A parallel plate capacitor having capacitance 12 pF is charged by a battery to a potential difference of 10 V between it

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For the circuit shown below, the current through the Zener diode is -

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A rigid massless rod of length 3l has two masses attached at each end as shown in the figure. The rod is pivoted at poin

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Consider a Young’s double slit experiment as shown in figure. What should be the slit separation d in terms of wavelengt

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Charges –q and +q located at A and B, respectively, constitude an electric dipole. Distance AB = 2a, O is the mid point

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A particle starts from the origin at time t = 0 and moves along the positive x-axis. The graph of velocity with respect

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The Wheatstone bridge shown in figure, here, gets balanced when the carbon resistor used as R1 has the colour code (Oran

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Two identical spherical balls of mass M and radius R each are stuck on two ends of a rod of length 2R and mass M (see fi

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The actual value of resistance R, shown in the figure is 30$$\Omega $$. This is measuered in an experiment as shown
usin

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