JEE Main 2020 (Online) 7th January Morning Slot

Paper was held on
Tue, Jan 7, 2020 3:30 AM

## Chemistry

The atomic radius of Ag is closed to :

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The theory that can completely/properly explain the nature of bonding in [Ni(Co)4] is :

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Oxidation number of potassium in K2O. K2O2 and KO2 respectively is :

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Amongst the following statements, that which was not proposed by Dalton was :

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At 35oC, the vapour pressure of CS2
is 512 mm. Hg and that of acetone is 344 mm Hg. A solution
of CS2
in acetone has a

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The increasing order to Pkb for the following compounds will be :

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A solution of m-chloronailimne, m-chlorophenol and m-chlorobenzoic acid in ethyal acetate was extracted initially with a

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The electron gain enthalpy (in KJ/mol) of fluorine, chlorine, bromine and iodine, respectively are:

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1- methyl ethylene oxide when treated with an excess of HBr produces :

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The IUPAC name of complex [Pt(NH3)2Cl(NH2CH3)]Cl is:

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The relative strength of interionic/intermolecular forces in decreasing order is :

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Match the following :
(i) Riboflavin (a) Beriberi
(ii) Thiamine (b) Scurvy
(iii) Pyr

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The purest from of commercial iron is :

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In comparison to the zeolite process for the removal of permanent hardness, the synthetic resins
method is :

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The dipole of CCl4, CHCl3 and CH4 are in the order :

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Consider the following reaction :
$${\left( {C{H_3}} \right)_3}CCH\left( {OH} \right)C{H_3}\buildrel {conc.\,\,\,{H_2}S{

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Given that the standard potentials (Eo) of Cu2+/Cu and Cu+/Cu are 0.34 V and 0.522 V respectively, the Eo of Cu2+/Cu+ :

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Consider the following reaction :
The product 'X' is used :

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What is the product of following reaction ?

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The number of orbitals associated with quantum number n = 5, ms = +$${1 \over 2}$$ is :

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The number of chiral carbons in chloramphenicol is

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Two solutions, A and B, each of 100L was made by dissolving 4g of NaOH and 9.8 g of H2SO4 in water, respectively. The pH

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During the nuclear explosion, one of the products is 90Sr with half life of 6.93 years. If 1 $$\mu $$ g of 90Sr was abso

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For the reaction :
A($$l$$) $$ \to $$ 2B(g)
$$\Delta U = 2.1\,kcal,\,\Delta S = 20\,cal\,{K^{ - 1}}$$ at 300 K
Hence $$\

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Chlorine reacts with hot and concentrated NaOH and produces compounds (X) and (Y). Compound
(X) gives white precipitate

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## Mathematics

Let xk + yk = ak, (a, k > 0 ) and $${{dy} \over {dx}} + {\left( {{y \over x}} \right)^{{1 \over 3}}} = 0$$, then k is

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Let $$\alpha $$ be a root of the equation x2 + x + 1 = 0 and the matrix A = $${1 \over {\sqrt 3 }}\left[ {\matrix{
1

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A vector $$\overrightarrow a = \alpha \widehat i + 2\widehat j + \beta \widehat k\left( {\alpha ,\beta \in R} \right)$

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Let $$\alpha $$ and $$\beta $$ be two real roots of the equation (k + 1)tan2x - $$\sqrt 2 $$ . $$\lambda $$tanx = (1 - k

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If $${\mathop{\rm Re}\nolimits} \left( {{{z - 1} \over {2z + i}}} \right) = 1$$, where z = x + iy, then the point (x, y)

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Total number of 6-digit numbers in which only and all the five digits 1, 3, 5, 7 and 9 appear, is :

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If y = mx + 4 is a tangent to both the parabolas, y2 = 4x and x2 = 2by, then b is equal to :

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If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12,
then the length of i

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The area of the region, enclosed by the circle x2 + y2 = 2 which is not common to the region bounded by the parabola y2

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Let the function, ƒ:[-7, 0]$$ \to $$R be continuous on [-7,0] and differentiable on (-7, 0). If ƒ(-7) = -
3 and ƒ'(x) $$

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An unbiased coin is tossed 5 times. Suppose that a variable X is assigned the value of k when k
consecutive heads are ob

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The greatest positive integer k, for which 49k + 1 is a factor of the sum 49125 + 49124 + ..... + 492 + 49 + 1, is:

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Let P be a plane passing through the points (2, 1, 0), (4, 1, 1) and (5, 0, 1) and R be any point
(2, 1, 6). Then the im

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If ƒ(a + b + 1 - x) = ƒ(x), for all x, where a and b are fixed positive real numbers, then
$${1 \over {a + b}}\int_a^b {

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If g(x) = x2 + x - 1 and (goƒ) (x) = 4x2 - 10x + 5, then ƒ$$\left( {{5 \over 4}} \right)$$ is equal to:

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If the system of linear equations
2x + 2ay + az = 0
2x + 3by + bz = 0
2x + 4cy + cz = 0,
where a, b, c $$ \in $$ R are n

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If $$y\left( \alpha \right) = \sqrt {2\left( {{{\tan \alpha + \cot \alpha } \over {1 + {{\tan }^2}\alpha }}} \right) +

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If y = y(x) is the solution of the differential equation, $${e^y}\left( {{{dy} \over {dx}} - 1} \right) = {e^x}$$ such t

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The logical statement (p $$ \Rightarrow $$ q) $$\Lambda $$ ( q $$ \Rightarrow $$ ~p) is equivalent to :

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Five numbers are in A.P. whose sum is 25 and product is 2520. If one of these five numbers is -$${1 \over 2}$$ , then th

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If the sum of the coefficients of all even powers of x in the product (1 + x + x2
+ ....+ x2n)(1 - x + x2 - x3 + ......

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Let S be the set of points where the function, ƒ(x) = |2-|x-3||, x $$ \in $$ R is not differentiable. Then $$\sum\limits

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Let A(1, 0), B(6, 2) and C $$\left( {{3 \over 2},6} \right)$$ be the vertices of a triangle ABC. If P is a Point inside

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If the variance of the first n natural numbers is 10 and the variance of the first m even natural
numbers is 16, then m

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$$\mathop {\lim }\limits_{x \to 2} {{{3^x} + {3^{3 - x}} - 12} \over {{3^{ - x/2}} - {3^{1 - x}}}}$$ is equal to_______

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## Physics

A 60 HP electric motor lifts an elevator having a maximum total load capacity of 2000 kg. If the frictional force on the

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Consider a circular coil of wire carrying constant current I, forming a magnetic dipole. The magnetic flux through an in

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A polarizer - analyser set is adjusted such that the intensity of light coming out of the analyser is just 10% of the or

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The radius of gyration of a uniform rod of length $$l$$, about an axis passing through a
point $${l \over 4}$$ away from

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A long solenoid of radius R carries a time (t) - dependent current I(t)=I0t(1 - t). A ring of radius 2R is placed coaxia

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Two infinite planes each with uniform surface charge density to are kept in such a way that the angle between them is 30

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Speed of a transverse wave on a straight wire (mass 6.0 g, length 60 cm and area of cross-section 1.0 mm2) is 90 ms-1. I

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Two moles of an ideal gas with $${{{C_P}} \over {{C_V}}} = {5 \over 3}$$
are mixed with 3 moles of another ideal gas
wit

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The time period of revolution of electron in its ground state orbit in a hydrogen atom is 1.6 $$ \times $$ 10-16 s. The

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A satellite of mass m is launched vertically upwards with an initial speed u from the surface of the earth. After it rea

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As shown in the figure, a bob of mass m is tied by a massless string whose other end portion is wound on a fly wheel (d

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Which of the following gives a reversible operation?

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If we need a magnification of 375 from a compound microscope of tube length 150 mm and an objective of focal length 5 mm

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The current I1 (in A) flowing through 1 $$\Omega $$ resistor in the following circuit is :

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A particle (m = 1 kg) slides down a frictionless track (AOC) starting from rest at a point A (height 2 m). After reachin

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A Carnot engine operates between two reservoirs of temperatures 900 K and 300 K. The engine
performs 1200 J of work per

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If the magnetic field in a plane electromagnetic wave is given by
$$\overrightarrow B $$ = 3 $$ \times $$ 10-8 sin(1.6 $

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Visible light of wavelength 6000 $$ \times $$ 10-8 cm falls normally on a single slit and produces a diffraction pattern

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A beam of electromagnetic radiation of intensity 6.4 × 10–5 W/cm2 is comprised of wavelength,
$$\lambda $$ = 310 nm. It

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A litre of dry air at STP expands adiabatically to a volume of 3 litres. If $$\gamma $$ = 1.40, the work done by air is

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A non-isotropic solid metal cube has coefficients of linear expansion as : 5 $$ \times $$ 10-5/oC along the x-axis and 5

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Three point particles of masses 1.0 kg, 1.5 kg and 2.5 kg are placed at three corners of a right angle triangle of sides

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A LCR circuit behaves like a damped harmonic oscillator. Comparing it with a physical spring-mass damped oscillator havi

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A parallel plate capacitor has plates of area A separated by distance 'd' between them. It is filled with a dielectric

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A loop ABCDEFA of straight edges has six corner points A(0, 0, 0), B(5, 0, 0), C(5, 5, 0), D (0, 5,
0), E(0, 5, 5) and F

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