JEE Main 2020 (Online) 8th January Morning Slot
Paper was held on Wed, Jan 8, 2020 3:30 AM
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Chemistry

The complex that can show fac- and mer-isomers is :
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Among the gases (a) – (e), the gases that cause greenhouse effect are : (a) CO2 (b) H2O (c) CFCs (d) O2 (e) O3
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Arrange the following compounds in increasing order of C–OH bond length : methanol, phenol, p-ethoxyphenol
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A graph of vapour pressure and temperature for three different liquids X, Y, and Z is shown below : The following infer
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The third ionization enthalpy is minimum for :
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When gypsum is heated to 393 K, it forms :
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The major products A and B in the following reactions are :
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The most suitable reagent for the given conversion is :
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As per Hardy-Schulze formulation, the flocculation values of the following for ferric hydroxide sol are in the order :
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The predominant intermolecular forces present in ethyl acetate, a liquid, are:
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A flask contains a mixture of isohexane and 3-methylpentane. One of the liquids boils at 63oC while the other boils at 6
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The stoichiometry and solubility product of a salt with the solubility curve given below is, respectively :
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The major product of the following reaction is :
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The strength of an aqueous NaOH solution is most accurately determined by titrating : (Note : consider that an appropria
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The rate of a certain biochemical reaction at physiological temperature (T) occurs 106 times faster with enzyme than wit
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For the Balmer series in the spectrum of H atom, $$\overline \nu = {R_H}\left\{ {{1 \over {n_1^2}} - {1 \over {n_2^2}}
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The number of bonds between sulphur and oxygen atoms in S2O82- and the number of bonds between sulphur and sulphur atoms
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Which of the following statement is not true for glucose?
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The first ionization energy (in kJ/mol) of Na, Mg, Al and Si respectively, are :
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The decreasing order of reactivity towards dehydrohalogenation (E1) reaction of the following compounds is :
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The volume (in mL) of 0.125 M AgNO3 required to quantitatively precipitate chloride ions in 0.3 g of [Co(NH3)6]Cl3 is __
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The number of chiral centres in penicillin is _________.
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What would be the electrode potential for the given half cell reaction at pH = 5? ______. 2H2O $$ \to $$ O2 + 4H$$ \oplu
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Ferrous sulphate heptahydrate is used to fortify foods with iron. The amount (in grams) of the salt required to achieve
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The magnitude of work done by a gas that undergoes a reversible expansion along the path ABC shown in the figure is ____
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Mathematics

If a, b and c are the greatest value of 19Cp, 20Cq and 21Cr respectively, then :
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Let the line y = mx and the ellipse 2x2 + y2 = 1 intersect at a ponit P in the first quadrant. If the normal to this ell
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Let ƒ : R $$ \to $$ R be such that for all x $$ \in $$ R (21+x + 21–x), ƒ(x) and (3x + 3–x) are in A.P., then the minim
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$$\mathop {\lim }\limits_{x \to 0} {\left( {{{3{x^2} + 2} \over {7{x^2} + 2}}} \right)^{{1 \over {{x^2}}}}}$$ is equal t
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Let the volume of a parallelopiped whose coterminous edges are given by $$\overrightarrow u = \widehat i + \widehat j +
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Let ƒ(x) = (sin(tan–1x) + sin(cot–1x))2 – 1, |x| > 1. If $${{dy} \over {dx}} = {1 \over 2}{d \over {dx}}\left( {{{\si
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If the equation, x2 + bx + 45 = 0 (b $$ \in $$ R) has conjugate complex roots and they satisfy |z +1| = 2$$\sqrt {10} $$
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Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of $$\Delta $$PAB = 5 sq. units and i
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The mean and the standard deviation (s.d.) of 10 observations are 20 and 2 resepectively. Each of these 10 observations
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Let y = y(x) be a solution of the differential equation, $$\sqrt {1 - {x^2}} {{dy} \over {dx}} + \sqrt {1 - {y^2}} = 0$
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For a > 0, let the curves C1 : y2 = ax and C2 : x2 = ay intersect at origin O and a point P. Let the line x = b (0 &l
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Which one of the following is a tautology?
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For which of the following ordered pairs ($$\mu $$, $$\delta $$), the system of linear equations x + 2y + 3z = 1 3x + 4y
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The locus of a point which divides the line segment joining the point (0, –1) and a point on the parabola, x2 = 4y, inte
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If c is a point at which Rolle's theorem holds for the function, f(x) = $${\log _e}\left( {{{{x^2} + \alpha } \over {7x}
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Let A and B be two independent events such that P(A) = $${1 \over 3}$$ and P(B) = $${1 \over 6}$$. Then, which of the fo
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If $$\int {{{\cos xdx} \over {{{\sin }^3}x{{\left( {1 + {{\sin }^6}x} \right)}^{2/3}}}}} = f\left( x \right){\left( {1
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The inverse function of f(x) = $${{{8^{2x}} - {8^{ - 2x}}} \over {{8^{2x}} + {8^{ - 2x}}}}$$, x $$ \in $$ (-1, 1), is :
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Let ƒ(x) = xcos–1(–sin|x|), $$x \in \left[ { - {\pi \over 2},{\pi \over 2}} \right]$$, then which of the following is
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The shortest distance between the lines $${{x - 3} \over 3} = {{y - 8} \over { - 1}} = {{z - 3} \over 1}$$ and $${{x + 3
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The number of all 3 × 3 matrices A, with enteries from the set {–1, 0, 1} such that the sum of the diagonal elements of
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The sum $$\sum\limits_{k = 1}^{20} {\left( {1 + 2 + 3 + ... + k} \right)} $$ is :
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The least positive value of 'a' for which the equation 2x2 + (a – 10)x + $${{33} \over 2}$$ = 2a has real roots is
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Let the normal at a point P on the curve y2 – 3x2 + y + 10 = 0 intersect the y-axis at $$\left( {0,{3 \over 2}} \right)$
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An urn contains 5 red marbles, 4 black marbles and 3 white marbles. Then the number of ways in which 4 marbles can be dr
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Physics

Consider a solid sphere of radius R and mass density $$\rho \left( r \right) = {\rho _0}\left( {1 - {{{r^2}} \over {{R^2
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The dimension of stopping potential V0 in photoelectric effect in units of Planck's constant 'h', speed of light 'c' and
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Consider a uniform rod of mass M = 4m and length $$\ell $$ pivoted about its centre. A mass m moving with velocity v mak
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The length of a potentiometer wire is 1200 cm and it carries a current of 60 mA. For a cell of emf 5V and internal resis
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The coordinates of centre of mass of a uniform flag shaped lamina (thin flat plate) of mass 4kg. (The coordinates of the
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When photon of energy 4.0 eV strikes the surface of a metal A, the ejected photoelectrons have maximum kinetic energy TA
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In finding the electric field using Gauss Law the formula $$\left| {\overrightarrow E } \right| = {{{q_{enc}}} \over {{\
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Consider two solid spheres of radii R1 = 1m, R2 = 2m and masses M1 and M2, respectively. The gravitational field due to
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The plot that depicts the behavior of the mean free time t (time between two successive collisions) for the molecules of
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Photon with kinetic energy of 1MeV moves from south to north. It gets an acceleration of 1012 m/s2 by an applied magneti
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A thermodynamic cycle xyzx is shown on a V-T diagram. The P-V diagram that best describes this cycle is : (Diagrams are
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The magnifying power of a telescope with tube 60 cm is 5. What is the focal length of its eye piece ?
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Boolean relation at the output stage-Y for the following circuit is :
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Four resistances of 15$$\Omega $$, 12$$\Omega $$, 4$$\Omega $$ and 10$$\Omega $$ respectively in cyclic order to form Wh
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At time t = 0 magnetic field of 1000 Gauss is passing perpendicularly through the area defined by the closed loop shown
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A particle of mass m is fixed to one end of a light spring having force constant k and unstretched length $$\ell $$. The
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Three charged particle A, B and C with charges –4q, 2q and –2q are present on the circumference of a circle of radius d.
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The graph which depicts the results of Rutherford gold foil experiment with $$\alpha $$-particales is : $$\theta $$ : Sc
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A leak proof cylinder of length 1m, made of a metal which has very low coefficient of expansion is floating vertically i
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Effective capacitance of parallel combination of two capacitors C1 and C2 is 10 μF. When these capacitors are individual
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The critical angle of a medium for a specific wavelength, if the medium has relative permittivity 3 and relative permeab
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A body A, of mass m = 0.1 kg has an initial velocity of 3$$\widehat i$$ ms-1 . It collides elastically with another body
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A point object in air is in front of the curved surface of a plano-convex lens. The radius of curvature of the curved su
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A one metre long (both ends open) organ pipe is kept in a gas that has double the density of air at STP. Assuming the sp
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A particle is moving along the x-axis with its coordinate with the time 't' given be x(t) = 10 + 8t – 3t2. Another parti
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