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

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

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

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

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

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

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

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

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

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

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

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

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

View Question The process with negative entropy change is :

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

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

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

View Question The correct match between item 'I' and item 'II' is :
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View Question The number of 2-centre-2-electron and 3-centre -2-electron bonds in B2H6, respectively, are :

View Question Haemoglobin and gold sol are examples of :

View Question 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 .

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

View Question What is the IUPAC name of the following compound ?

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

View Question The major product of the following reaction is

View Question The major product of the following reaction is :

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

View Question The major product obtained in the following reaction is :

View Question Which is the most suitable reagent for the following transformation ?

View Question The major product of the following reaction

View Question ## 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

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

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

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

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

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

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

View Question 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

View Question 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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

View Question ## 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

View Question 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

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

View Question 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

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

View Question 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

View Question 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

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

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

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

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

View Question 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

View Question 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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

View Question 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

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

View Question