JEE Main 2020 (Online) 7th January Evening Slot

Paper was held on
Tue, Jan 7, 2020 9:30 AM

## Chemistry

Consider the following reactions :
Which of these reactions are possible ?

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For the reaction 2H2(g) + 2NO(g) $$ \to $$ N2(g) + 2H2O(g) the observed rate expression is, rate = Kf[NO]2[H2]. The rate

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The correct order of stability for the following alkoxides is :

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In the following reaction products (A) and (B) respectively, are :
NaOH + Cl2 $$ \to $$ (A) + side products
(hot and con

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The bond order and the magnetic characteristics of CN-
are :

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The equation that is incorrect is :

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The number of possible optical isomers for the complexes MA2B2 with sp3 and dsp2 hydridized metal atom. respectively, is

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For the following reactions
Ks and Ke, are respectively, the rate constants for substitution and elimination and $$\mu

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Identify the correct labels of A,B and C in the following graph from the options given below :
Root mean square speed (

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Two open beakers one containing a solvent and the other containing a mixture of that solvent
with a non voltatile solute

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The redox reaction among the following is :

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A chromatography column, packed with silica gel as stationary phase, was used to separate a
mixture of compounds consist

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The refining method used when the metal and the impurities have low and high melting temperatures, respectively, is :

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Which of the following statements is correct ?

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The ammonia (NH3) released on quantitative reaction of 0.6 g urea (NH2CONH2) with sodium hydroxide (NaOH) can be neutral

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Among the statements (a) - (d), the correct ones are :
(a) Decomposition of hydrogen peroxide gives dioxygen.
(b) Like h

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Within each pair of elements F & Cl, S & Se, and Li & Na, respectively, the elements that release
more energ

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Among the statements(a)-(d) the incorrect ones are :
(a) Octahedral CO(III) complexes with strong fields ligands have ve

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In the following reaction sequence,
The major product B is :

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In the following reactions sequence, structure of A and B respectively will be :

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Consider the following reactions :
$$NaCl{\rm{ }} + {\rm{ }}{K_2}C{r_2}{O_7} + \mathop {{H_2}S{O_4}}\limits_{(conc.)} $$

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The standard heat of formation $$\left( {{\Delta _f}H_{298}^0} \right)$$ of ethane (in kj/mol), if the heat of combustio

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3 g of acetic acid is added to 250 mL of 0.1 M HCL and the solution made up to 500 mL. To 20 mL
of this solutions $${1 \

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The number of sp2 hybridised carbons present in "Aspartame" is

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The flocculation value of HCl for arsenic sulphide sol. is 30 m mol L-1 If H2SO4 is used for the flocculatiopn of arseni

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## Mathematics

If 3x + 4y = 12$$\sqrt 2 $$ is a tangent to the ellipse
$${{{x^2}} \over {{a^2}}} + {{{y^2}} \over 9} = 1$$ for some $$a

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In a workshop, there are five machines and the probability of any one of them to be out of service on a day is $${{1 \ov

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The value of $$\alpha $$ for which
$$4\alpha \int\limits_{ - 1}^2 {{e^{ - \alpha \left| x \right|}}dx} = 5$$, is:

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The number of ordered pairs (r, k) for which 6.35Cr
= (k2 - 3). 36Cr + 1, where k is an integer, is :

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The coefficient of x7
in the expression
(1 + x)10 + x(1 + x)9
+ x2(1 + x)8
+ ......+ x10 is:

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Let $${a_1}$$
, $${a_2}$$
, $${a_3}$$
,....... be a G.P. such that $${a_1}$$
< 0, $${a_1}$$
+ $${a_2}$$
= 4 and $$

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The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line
x = y is :

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Let $$\alpha $$ and $$\beta $$ be the roots of the equation x2
- x - 1 = 0. If pk
= $${\left( \alpha \right)^k} + {\l

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Let A, B, C and D be four non-empty sets. The contrapositive statement of "If A $$ \subseteq $$ B and B $$ \subseteq $$

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The area (in sq. units) of the region
{(x, y) $$ \in $$ R2 | 4x2 $$ \le $$ y $$ \le $$ 8x + 12} is :

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Let $$\overrightarrow a $$
, $$\overrightarrow b $$
and $$\overrightarrow c $$
be three unit vectors such that
$$\over

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Let A = [aij] and B = [bij] be two 3 × 3 real matrices such that bij = (3)(i+j-2)aji, where i, j = 1, 2, 3.
If the deter

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Let y = y(x) be the solution curve of the differential equation,
$$\left( {{y^2} - x} \right){{dy} \over {dx}} = 1$$, sa

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If the sum of the first 40 terms of the series, 3 + 4 + 8 + 9 + 13 + 14 + 18 + 19 + ..... is (102)m, then m is equal to

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The value of c in the Lagrange's mean value theorem for the function ƒ(x) = x3
- 4x2
+ 8x + 11,
when x $$ \in $$ [0, 1

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Let the tangents drawn from the origin to the circle, x2
+ y2
- 8x - 4y + 16 = 0 touch it at the
points A and B. The (

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Let y = y(x) be a function of x satisfying
$$y\sqrt {1 - {x^2}} = k - x\sqrt {1 - {y^2}} $$ where k is a constant and

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If $$\theta $$1
and $$\theta $$2
be respectively the smallest and the largest values of $$\theta $$ in (0, 2$$\pi $$)

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If $${{3 + i\sin \theta } \over {4 - i\cos \theta }}$$, $$\theta $$ $$ \in $$ [0, 2$$\theta $$], is a real number, then

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Let X = {n $$ \in $$ N : 1 $$ \le $$ n $$ \le $$ 50}. If
A = {n $$ \in $$ X: n is a multiple of 2} and
B = {n $$ \in $$

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Let ƒ(x) be a polynomial of degree 5 such that x = ±1 are its critical points.
If $$\mathop {\lim }\limits_{x \to 0} \le

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If the foot of the perpendicular drawn from the point (1, 0, 3) on a line passing through ($$\alpha $$, 7, 1)
is
$$\left

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If the system of linear equations,
x + y + z = 6
x + 2y + 3z = 10
3x + 2y + $$\lambda $$z = $$\mu $$
has more than two s

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If the mean and variance of eight numbers 3, 7, 9, 12, 13, 20, x and y be 10 and 25 respectively,
then x.y is equal to _

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If the function ƒ defined on $$\left( { - {1 \over 3},{1 \over 3}} \right)$$ by
f(x) = $$\left\{ {\matrix{
{{1 \over

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## Physics

The activity of a radioactive sample falls from 700 s–1 to 500 s–1 in 30 minutes. Its half life is close
to:

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An electron (of mass m) and a photon have the same energy E in the range of a few eV. The ratio
of the de-Broglie wavele

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Mass per unit area of a circular disc of radius $$a$$ depends on the distance r from its centre as $$\sigma \left( r \ri

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In the figure, potential difference between A and B is :

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A particle of mass m and charge q has an initial velocity $$\overrightarrow v = {v_0}\widehat j$$
. If an electric fiel

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An emf of 20 V is applied at time t = 0 to a circuit containing in series 10 mH inductor and 5 $$\Omega $$
resistor. The

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The figure gives experimentally measured B vs H variation in a ferromagnetic material. The
retentivity, coercivity and

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A planar loop of wire rotates in a uniform magnetic field. Initially at t = 0, the plane of the loop
is perpendicular to

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Two ideal Carnot engines operate in cascade (all heat given up by one engine is used by the other
engine to produce work

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A mass of 10 kg is suspended by a rope of length 4 m, from the ceiling. A force F is applied
horizontally at the mid poi

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In a building there are 15 bulbs of 45 W, 15 bulbs of 100 W, 15 small fans of 10 W and 2 heaters
of 1 kW. The voltage of

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The dimension of $${{{B^2}} \over {2{\mu _0}}}$$, where B is magnetic field and $${{\mu _0}}$$
is the magnetic permeabi

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An elevator in a building can carry a maximum of 10 persons, with the average mass of each
person being 68 kg, The mass

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A stationary observer receives sound from two identical tuning forks, one of which approaches
and the other one recedes

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A thin lens made of glass (refractive index = 1.5) of focal length f = 16 cm is immersed in a liquid
of refractive index

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The electric field of a plane electromagnetic wave is given by
$$\overrightarrow E = {E_0}{{\widehat i + \widehat j} \o

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Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the mean
collision time between the ga

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In a Young's double slit experiment, the separation between the slits is 0.15 mm. in the experiment,
a source of light o

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An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and
minimum diameters of the pip

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A box weight 196 N on a spring balance at the north pole. Its weight recorded on the same
balance if it is shifted to th

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A 60 pF capacitor is fully charged by a 20 V supply. It is then disconnected from the supply and
is conneced to another

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The sum of two forces $$\overrightarrow P $$
and $$\overrightarrow Q $$
is $$\overrightarrow R $$
such that $$\left|

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Consider a uniform cubical box of side a on a rough floor that is to be moved by applying
minimum possible force F at a

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The balancing length for a cell is 560 cm in a potentiometer experiment. When an external
resistance of 10 $$\Omega $$ i

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M grams of steam at 100oC is mixed with 200 g of ice at its melting point in a thermally insulated
container. If it prod

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